Search results

Page title matches

• Life Comparion Example 1
  38 bytes (4 words) - 22:02, 30 January 2014
• Weibull Example 1 Data
  38 bytes (4 words) - 08:34, 8 August 2012
• RGA Chapter 1
  26 bytes (3 words) - 07:07, 22 August 2012
• 1-Parameter Weibull Example
  ...to previous similar products, the slope parameter <math>\beta </math> is 1.5.
  841 bytes (116 words) - 03:24, 8 August 2012
• BlockSim Example: Default ON unless SCT overridden 1
  64 bytes (8 words) - 08:41, 9 August 2012

Page text matches

• Plackett-Burman Design
  | 1||-1||1||1||1||-1||-1||-1||1||-1||1||1||220 | 2||-1||1||1||-1||1||1||1||-1||-1||-1||1||207
  2 KB (222 words) - 21:09, 18 September 2023
• Median Rank for Single Censored Data
  Table 6.2 on page 283 in the book ''Reliability Engineering Handbook Vol 1'' by Dr. Kececioglu, Prentice-Hall, 1991. |1 ||F |||16
  969 bytes (120 words) - 16:20, 28 September 2015
• Robust Design
  | 1||1||1||1||48||49||56||63 | 2||1||-1||-1||50||52||55||63
  1 KB (194 words) - 21:09, 18 September 2023
• Optimal Custom Design Example
  :{| style="text-align:center;" cellpadding="2" border="1" align="center" |1|| -1|| -1|| -1|| -1|| -1
  4 KB (636 words) - 21:07, 18 September 2023
• WeibullDataSet.AddSuspension
  {{APIComment|'Add suspensions at times 1, 2 and 3 to the data set.}} {{APIPrefix|Call}} WDS.AddSuspension(1, 1)
  1,021 bytes (108 words) - 22:17, 30 March 2016
• Weibull++ Non-Parametric LDA Plot Example
  {| border="1" align="center" style="border-collapse: collapse;" cellpadding="5" cellspac | 1||S||9
  1 KB (215 words) - 06:18, 16 August 2012
• Crow-AMSAA Grouped Data Examples
  ==Grouped Data Example 1==
  369 bytes (45 words) - 20:35, 18 September 2023
• 3P-Weibull Rank Regression
  Table 6.3 on page 292 in the book ''Reliability Engineering Handbook Vol 1'' by Dr. Kececioglu, Prentice-Hall, 1991. | 1||F||46
  1,001 bytes (138 words) - 16:13, 28 September 2015
• 1P-Exponential Data Analysis with No Failures
  ::<math>\theta = \frac{2TTT}{x^{2}_{(1-\alpha; 2)}}\,\!</math> ...\!</math> is also the confidence level. The equation above gives the lower 1-sided confidence bound for <math>\theta \,\!</math>.
  993 bytes (135 words) - 16:17, 28 September 2015
• WeibullDataSet.AddFailureInterval
  {{APIPrefix|Call}} WDS.AddFailureInterval(1, 5, 1) {{APIPrefix|Call}} WDS.AddFailureInterval(6, 10, 1)
  1 KB (118 words) - 17:59, 16 January 2018
• WeibullDataSet.AddSuspensionInterval
  {{APIPrefix|Call}} WDS.AddSuspensionInterval(1, 5, 1) {{APIPrefix|Call}} WDS.AddSuspensionInterval(6, 10, 1)
  1 KB (121 words) - 22:18, 30 March 2016
• Perform Accelerated Life Testing Data Analysis on External Data Source/VBA
  {{APIPrefix|Call}} ADS.AddFailure_2(245, 1, 353) {{APIPrefix|Call}} ADS.AddFailure_2(110, 1, 373)
  2 KB (189 words) - 15:30, 7 September 2016
• Eyring Example
  ...{{e}^{-\left( A-\tfrac{B}{V} \right)}}\cdot \Gamma \left( \frac{1}{\beta }+1 \right)\,\!</math> ...frac{1454.08635742}{323} \right)}}\cdot \Gamma \left( \frac{1}{4.29186497}+1 \right) =16,610\text{ }hr
  1 KB (158 words) - 19:02, 18 September 2023
• Circuit Boards Example
  {|border="1" align="center" style="border-collapse: collapse;" cellpadding="5" cellspac | align="center" | 1 ||align="center" | 2,403||align="center" | Failure
  3 KB (350 words) - 02:45, 16 August 2012
• 2P Weibull Distribution Likelihood Ratio Bound
  ...ce bounds are calculated by finding values for <span class="texhtml">θ₁</span> and <span class="texhtml">θ₂</span> that satisfy: ...eta _{2})}{L(\hat{\theta }_{1}, \hat{\theta }_{2})}\right) =\chi _{\alpha ;1}^{2} </math>
  2 KB (358 words) - 18:21, 28 February 2012
• Box Behnken RSM
  | High (+1)||200||10||25 | Low (-1)||150||5||15
  2 KB (273 words) - 21:08, 18 September 2023
• 1P-Weibull MLE Solution for Multiple Right Censored Data
  This example validates the calculations for a 1-parameter Weibull MLE solution with right censored data in Weibull++ standa | 1||F||230
  2 KB (255 words) - 17:51, 31 January 2017
• Repository.Xfmea.GetAllXfmeaCauses Method
  ...PIComment|'Get a list of all causes associated with failure #1 in project #1.}} MyRepository.Project.SetCurrentProject (1)
  1 KB (136 words) - 18:31, 9 June 2016
• Kaplan-Meier for Multiple Censored Data
  | 4||0.01||F||1 | 99||0.01||S||1
  984 bytes (131 words) - 16:21, 28 September 2015
• Repository.Xfmea.GetItemInSystemHierarchy Method
  This example assumes that a system hierarchy item with ID#1 exists in the first available project of a repository. {{APIComment|'Get system hierarchy item #1 from project #1.}}
  2 KB (187 words) - 18:43, 9 June 2016
• Repository.Xfmea.GetXfmeaFailure Method
  This example assumes that a failure with ID#1 exists in a repository. {{APIComment|'Get failure #1 from project #1.}}
  2 KB (187 words) - 18:45, 9 June 2016
• Repository.Xfmea.UpdateXfmeaCause Method
  This example assumes that a cause with ID #1 exists in the first available project of a repository. {{APIComment|'Get cause #1 from project #1.}}
  2 KB (213 words) - 18:48, 9 June 2016
• Repository.Control.UpdateXfmeaControl
  This example assumes that an Xfmea control with ID #1 exists in the first available project in a repository. {{APIComment|'Get control #1 from project #1.}}
  2 KB (213 words) - 16:55, 9 June 2016
• Repository.Xfmea.GetXfmeaEffect Method
  This example assumes that an effect with ID#1 exists in a repository. {{APIComment|'Get effect #1 from project #1.}}
  2 KB (187 words) - 18:44, 9 June 2016
• 1P-Exponential MLE Solution with Right Censored Data
  ...idates the calculations for the MLE solution and Fisher Matrix bound for a 1-parameter exponential distribution with right censored and complete failure | 1||F||16
  1 KB (158 words) - 16:17, 28 September 2015
• CProfile.GetSegments
  This example assumes that a profile with ID #1 exists in the first project of a Synthesis repository. {{APIComment|'Get profile #1 from project #1.}}
  2 KB (194 words) - 22:17, 22 March 2017
• Repository.Action.UpdateAction
  This example assumes that an action with ID #1 exists in the first available project of a repository. {{APIComment|'Get action #1 from project #1.}}
  2 KB (213 words) - 15:40, 9 June 2016
• Repository.URD.UpdateURD
  This example assumes that a URD with ID #1 exists in the first available project of a repository. {{APIComment|'Get URD #1 from project #1.}}
  2 KB (213 words) - 17:45, 9 June 2016
• Repository.Crew.UpdateCrew
  This example assumes that a crew with ID #1 exists in the first available project of a repository. {{APIComment|'Get crew #1 from project #1.}}
  2 KB (213 words) - 17:01, 9 June 2016
• Repository.Profile.UpdateProfile
  This example assumes that a profile with ID #1 exists in the first available project of a repository. {{APIComment|'Get profile #1 from project #1.}}
  2 KB (213 words) - 23:14, 22 March 2017
• WeibullDataSet.ShowCalculationProgress
  {{APIPrefix|Call}} wds.AddFailure(100, 1) {{APIPrefix|Call}} wds.AddFailure(120, 1)
  2 KB (246 words) - 23:41, 6 September 2016
• Warranty Data Analysis Dates Format Example
  {| | border="1" align="center" style="border-collapse: collapse;" cellpadding="5" cellspac | 6316||1/1/2010
  4 KB (456 words) - 18:54, 18 September 2023
• Repository.Variable.UpdateVariable
  This example assumes that a variable with ID #1 exists in the first available project of a repository. {{APIComment|'Get variable #1 from project #1.}}
  2 KB (213 words) - 17:42, 9 June 2016
• Mixed Weibull Example
  ...dow, enter the values and select the options shown below for subpopulation 1. [[Image:Mixed Weibull Example 1 Simulation Sub1.png|center|450px| ]]
  2 KB (230 words) - 21:39, 18 September 2023
• Repository.Xfmea.UpdateXfmeaEffect Method
  This example assumes that an effect with ID #1 exists in the first available project of a repository. {{APIComment|'Get effect #1 from project #1.}}
  2 KB (213 words) - 18:49, 9 June 2016
• Repository.Task.UpdateScheduledTask
  This example assumes that a scheduled task with ID #1 exists in the first available of a repository. {{APIComment|'Get scheduled task #1 from project #1.}}
  2 KB (215 words) - 17:38, 9 June 2016
• Repository.Xfmea.GetAllXfmeaFailures Method
  ...t|'Get a list of all failures associated with FMEA function #1 in project #1.}} MyRepository.Project.SetCurrentProject (1)
  1 KB (140 words) - 18:36, 9 June 2016
• WeibullDataSet.HideCalculationProgress
  {{APIPrefix|Call}} wds.AddFailure(100, 1) {{APIPrefix|Call}} wds.AddFailure(120, 1)
  2 KB (246 words) - 23:41, 6 September 2016
• Repository.Task.UpdateCorrectiveTask
  This example assumes that a corrective task with ID #1 exists in the first available project of a repository. {{APIComment|'Get corrective task #1 from project #1.}}
  2 KB (217 words) - 17:37, 9 June 2016
• Repository.Xfmea.GetXfmeaFunction Method
  This example assumes that an FMEA function with ID#1 exists in a repository. {{APIComment|'Get FMEA function #1 from project #1.}}
  2 KB (194 words) - 18:49, 22 August 2016
• Repository.Xfmea.UpdateXfmeaFailure Method
  This example assumes that a failure with ID #1 exists in the first available project of a repository. {{APIComment|'Get function #1 from project #1.}}
  2 KB (213 words) - 18:50, 9 June 2016
• Median Rank for Multiple Censored Data
  Table 3.1 on page 78 in the book ''Reliability & Life Testing Handbook Vol 2'' by Dr. |1 ||F |||5100
  2 KB (264 words) - 16:20, 28 September 2015
• Grouped Data - Crow Extended Example
  {|border="1" align="center" style="border-collapse: collapse;" cellpadding="5" cellspac |3|| 25|| BC|| 1
  3 KB (373 words) - 20:52, 18 September 2023
• Repository.Xfmea.GetAllXfmeaEffects Method
  ...IComment|'Get a list of all effects associated with failure #1 in project #1.}} MyRepository.Project.SetCurrentProject (1)
  1 KB (148 words) - 20:40, 18 August 2016
• Repository.Xfmea.UpdateXfmeaFunction Method
  This example assumes that a function with ID #1 exists in the first available project of a repository. {{APIComment|'Get FMEA function #1 from project #1.}}
  2 KB (217 words) - 18:57, 22 August 2016
• Repository.Pool.UpdatePool
  This example assumes that a spare part pool with ID #1 exists in the first available project of a repository. {{APIComment|'Get spare part pool #1 from project #1.}}
  2 KB (221 words) - 17:29, 9 June 2016
• Developmental Testing
  ...ther words, the reliability is either 1 or <math>R \,\!</math> , <math>0<R<1 \,\!</math> . ...the glass is in the unreliable state just before the first trial, <math>P_{1}(0) \,\!</math>.
  5 KB (791 words) - 17:04, 16 December 2015
• WeibullDataSet.AddFailure
  {{APIPrefix|Call}} WDS.AddFailure(10, 1) {{APIPrefix|Call}} WDS.AddFailure(20, 1)
  1,009 bytes (112 words) - 17:59, 16 January 2018
• Sequential Data - Standard Gompertz Model
  {|border="1" align="center" style="border-collapse: collapse;" cellpadding="5" cellspac |1|| F|| 0||
  1 KB (120 words) - 21:20, 18 September 2023
• Exponential Distribution Auto Batch Run Example
  {|border="1" align="center" style="border-collapse: collapse;" cellpadding="5" cellspac |1 ||2 ||placebo ||
  3 KB (392 words) - 21:45, 18 September 2023
• Arrhenius-Lognormal Model
  | 30||S||5000||283.15||1 | 1||F||1298||313.15||2
  4 KB (460 words) - 18:20, 28 September 2015
• Repository.BlockSim.GetAllRBDs
  {{APIComment|'Connect to project#1 in the repository.}} MyRepository.Project.SetCurrentProject (1)
  1 KB (123 words) - 23:28, 6 September 2016
• 1P-Weibull with Zero Failure Data
  This example validates the calculations for a 1-parameter Weibull with zero failure data in Weibull++ standard folios. ...alculating the <math>\eta \,\!</math> at a given confidence level of <math>1 - \alpha\,\!</math> is on page 195.
  1 KB (169 words) - 16:14, 28 September 2015
• WAPlots.Clear
  {{APIPrefix|Call}} WDS.AddFailure(1, 1) {{APIPrefix|Call}} WDS.AddFailure(2, 1)
  2 KB (192 words) - 17:50, 24 June 2016
• Repository.Xfmea.GetXfmeaCause Method
  This example assumes that a cause with ID#1 exists in a repository. {{APIComment|'Get cause ID#1 from the first project in the repository.}}
  2 KB (200 words) - 18:44, 9 June 2016
• Non Parametric RDA MCF Example
  \text{1} & \text{5, 10 , 15, 17+} \\ ID & Months ({{t}_{i}}) & State & {{r}_{i}} & 1/{{r}_{i}} & {{M}^{*}}({{t}_{i}}) \\
  7 KB (741 words) - 18:53, 18 September 2023
• Perform Life Data Analysis on External Data Source/VBA
  {{APIPrefix|Call}} WDS.AddFailure(16, 1) {{APIPrefix|Call}} WDS.AddFailure(34, 1)
  1 KB (164 words) - 15:28, 7 September 2016
• Warranty Data Analysis Example
  !1 |3||0||3||3||4||2||1||5||4||2||3||3||45||2123
  3 KB (270 words) - 16:24, 28 September 2015
• Repairable System Test Design Example - Solve for Time
  ...year operating period, with 80% confidence level. Assume that <math>\beta =1\,\!</math>, the number of systems for the test is <math>m=6\,\!</math> and :<math>{{\lambda }_{c}}=\frac{1}{MTB{{F}_{c}}}=2\text{ }failures/\ \ year\,\!</math>
  3 KB (384 words) - 20:55, 18 September 2023
• Repository.BlockSim.GetAllFaultTrees
  {{APIComment|'Connect to project#1 in the repository.}} MyRepository.Project.SetCurrentProject (1)
  1 KB (124 words) - 23:29, 6 September 2016
• Repository.Action.GetFMEAActionLocatorLinkPath
  {{APIComment|'Get action #1 from project #1.}} MyRepository.Project.SetCurrentProject(1)
  1 KB (130 words) - 23:53, 13 March 2019
• WAPlots.AddDataset
  {{APIPrefix|Call}} WDS.AddFailure(1, 1) {{APIPrefix|Call}} WDS.AddFailure(2, 1)
  2 KB (212 words) - 00:56, 7 September 2016
• Repository.Control.GetXfmeaControl
  This example assumes that an Xfmea control with ID#1 exists in a repository. {{APIComment|'Get control #1 from project #1.}}
  2 KB (233 words) - 18:52, 9 June 2016
• Weibull Distribution Functions
  ::<math> \overline{T}=\gamma +\eta \cdot \Gamma \left( {\frac{1}{\beta }}+1\right) \,\!</math> ::<math> \Gamma \left( {\frac{1}{\beta }}+1\right) \,\!</math>
  4 KB (634 words) - 21:40, 18 September 2023
• Repository.Profile.GetProfile
  This example assumes that a profile with ID #1 exists in the first project of a Synthesis repository. {{APIComment|'Get profile #1 from project #1.}}
  2 KB (238 words) - 23:14, 22 March 2017
• Repository.Action.GetAction
  This example assumes that an action with ID #1 exists in the first project of a Synthesis repository. {{APIComment|'Get action #1 from project #1.}}
  2 KB (237 words) - 18:53, 9 June 2016
• 2P-Weibull MLE Solution for Multiple Right Censored Data
  | 1||F||230 | 1||F||334
  1 KB (195 words) - 16:15, 28 September 2015
• Create Plots/VBA
  {{APIPrefix|Call}} WDS.AddFailure(16, 1) {{APIPrefix|Call}} WDS.AddFailure(34, 1)
  1 KB (168 words) - 15:34, 7 September 2016
• Repository.Xfmea.GetAllXfmeaFunctions Method
  ...of all FMEA functions associated with system hierarchy item #1 in project #1.}} MyRepository.Project.SetCurrentProject (1)
  1 KB (163 words) - 18:38, 9 June 2016
• ALTADataSet.ClearDataSet
  {{APIPrefix|Call}} ADS.AddFailure_2(100, 1, 190) {{APIPrefix|Call}} ADS.AddFailure_2(120, 1, 190)
  1 KB (137 words) - 23:34, 5 May 2016
• Change of Slope Analysis
  ...en creating the model for the second segment (i.e., data after <math>{{T}_{1}}\,\!</math> ). The models presented next can be applied to the reliability ===Model for First Segment (Data up to <i>T₁</i>)===
  5 KB (750 words) - 20:37, 18 September 2023
• Crow-AMSAA Discrete Model Grouped Data Example
  {|border="1" align="center" style="border-collapse: collapse;" cellpadding="5" cellspac |1|| 53
  2 KB (225 words) - 21:22, 18 September 2023
• Repository.Xfmea.AddXfmeaFailure Method
  {{APIComment|'Add the new failure to FMEA function #1 located in project #1.}} MyRepository.Project.SetCurrentProject(1)
  2 KB (231 words) - 18:53, 22 August 2016
• Lloyd-Lipow Least Squares Example
  {|border="1" align="center" style="border-collapse: collapse;" cellpadding="5" cellspac |1|| 9|| 6|| 0.667|| 0.7002
  4 KB (477 words) - 21:30, 18 September 2023
• Repository.URD.GetURD
  This example assumes that a URD with ID #1 exists in the first project of a Synthesis repository. {{APIComment|'Get URD #1 from project #1.}}
  2 KB (242 words) - 18:55, 9 June 2016
• Repository.Crew.GetCrew
  This example assumes that a crew with ID #1 exists in the first project of a Synthesis repository. {{APIComment|'Get crew #1 from project #1.}}
  2 KB (242 words) - 18:52, 9 June 2016
• Repository.Variable.GetVariable
  The example assumes that a variable with ID #1 exists in the first project of a Synthesis repository. {{APIComment|'Get variable #1 from project #1.}}
  2 KB (242 words) - 18:55, 9 June 2016
• Perform Accelerated Life Testing Data Analysis with Stress Profiles/VBA 10
  {{APIPrefix|Call}} ADS.AddFailure_2(252, 1, sp) {{APIPrefix|Call}} ADS.AddFailure_2(280, 1, sp)
  2 KB (267 words) - 18:24, 23 March 2017
• Repository.Task.GetScheduledTask
  This example assumes that a scheduled task with ID #1 exists in the first project of a Synthesis repository. {{APIComment|'Get scheduled task #1 from project #1.}}
  2 KB (247 words) - 18:55, 9 June 2016
• Repository.Task.GetCorrectiveTask
  This example assumes that a corrective task with ID #1 exists in the first project of a Synthesis repository. {{APIComment|'Get corrective task #1 from project #1.}}
  2 KB (247 words) - 18:55, 9 June 2016
• Repository.Xfmea.AssignControlToXfmeaCause Method
  {{APIComment|'Get a list of controls from project #1.}} MyRepository.Project.SetCurrentProject(1)
  1 KB (181 words) - 18:12, 2 March 2018
• Repository.Xfmea.AssignActionToXfmeaCause Method
  {{APIComment|'Get a list of actions from project #1.}} MyRepository.Project.SetCurrentProject(1)
  1 KB (181 words) - 18:12, 2 March 2018
• Multivariable Relationships: General Log-Linear and Proportional Hazards
  ...der a sample of test units. A number of these units were obtained from Lot 1, others from Lot 2, and the rest from Lot 3. These three lots can be repres *Define two indicator variables, <math>{{X}_{1}}\,\!</math> and <math>{{X}_{2}}.\,\!</math>
  2 KB (369 words) - 23:58, 23 June 2015
• ALTADataSet.HideCalculationProgress
  {{APIPrefix|Call}} ads.AddFailure_2(245, 1, 353) {{APIPrefix|Call}} ads.AddFailure_2(110, 1, 373)
  3 KB (278 words) - 23:43, 6 September 2016
• ALTADataSet.ShowCalculationProgress
  {{APIPrefix|Call}} ads.AddFailure_2(245, 1, 353) {{APIPrefix|Call}} ads.AddFailure_2(110, 1, 373)
  3 KB (278 words) - 23:43, 6 September 2016
• Repository.Xfmea.AddItemToSystemHierarchy Method
  ...dd the new item to project #1 and position it under system hierarchy item #1.}} MyRepository.Project.SetCurrentProject(1)
  2 KB (259 words) - 17:49, 9 June 2016
• Fleet Analysis Example
  {|border="1" align="center" style="border-collapse: collapse;" cellpadding="5" cellspac |1|| 1396|| 1|| 1396
  2 KB (263 words) - 20:54, 18 September 2023
• Repository.Xfmea.AddXfmeaEffect Method
  {{APIComment|'Add the new effect to failure #1 located in project #1.}} MyRepository.Project.SetCurrentProject(1)
  2 KB (244 words) - 17:51, 9 June 2016
• Repository.Pool.GetPool
  This example assumes that a spare part pool with ID #1 exists in the first project of a Synthesis repository. {{APIComment|'Get spare part pool #1 from project #1.}}
  2 KB (254 words) - 18:54, 9 June 2016
• Sequential Data with Modes - Lloyd-Lipow Model
  {|border="1" align="center" style="border-collapse: collapse;" cellpadding="5" cellspac |1|| S||
  964 bytes (132 words) - 21:14, 18 September 2023
• Grouped per Configuration Data - Logistic Model
  ...was tested and several failures occurred. The data set is given in columns 1 and 2 of the following table. Find the Logistic model that best fits the da {|border="1" align="center" style="border-collapse: collapse;" cellpadding="5" cellspac
  3 KB (357 words) - 21:29, 18 September 2023
• General Log-Linear (GLL)-Weibull Model
  | F||1138||100||1 | F||1944||100||1
  3 KB (381 words) - 18:21, 28 September 2015
• Taguchi Orthogonal Arrays
  '''L8 (2^4 4^1)''' '''L16 (2^12 4^1)'''
  844 bytes (112 words) - 19:06, 15 September 2023
• The Weibull Distribution
  :<math> f(t)={ \frac{\beta }{\eta }}\left( {\frac{t}{\eta }}\right) ^{\beta -1}e^{-\left( { \frac{t}{\eta }}\right) ^{\beta }} \,\!</math> === The 1-Parameter Weibull===
  2 KB (262 words) - 15:36, 22 May 2023
• Repairable Systems Analysis Reference Example
  !System 1 | 4.3||0.1||8.4
  2 KB (202 words) - 18:26, 28 September 2015
• ALTAAnalysisResults Class
  {{APIPrefix|Call}} ADS.AddFailure_2(100, 1, 190) {{APIPrefix|Call}} ADS.AddFailure_2(120, 1, 190)
  2 KB (214 words) - 20:30, 24 June 2016
• ALTADataSet.AddStressProfile 10
  {{APIPrefix|Call}} sp.AddSegment(1, 100) {{APIPrefix|Call}} ADS.AddFailure_2(61, 1, sp)
  3 KB (349 words) - 17:47, 5 May 2017
• Repository.Xfmea.GetXfmeaCauseActions Method
  {{APIComment|'Get a list of causes for failure #1 from project #1.}} {{APIPrefix|Set}} Causes = MyRepository.Xfmea.GetAllXfmeaCauses(1)
  1 KB (129 words) - 18:48, 2 March 2018
• Lloyd-Lipow Confidence Bounds Example
  {|border="1" align="center" style="border-collapse: collapse;" cellpadding="5" cellspac |1|| F|| 1|| 0
  5 KB (567 words) - 21:29, 18 September 2023
• Two Level Factorial Design
  !style="background:#f0f0f0;"|1 Table 6-1 from the book shows the ANOVA table for this experiment.
  1 KB (191 words) - 21:08, 18 September 2023
• WeibullDataSet.ClearDataSet
  {{APIPrefix|Call}} WDS.AddFailure(10, 1) {{APIPrefix|Call}} WDS.AddFailure(20, 1)
  1 KB (166 words) - 17:40, 19 April 2016
• Repository.Xfmea.AddXfmeaFunction Method
  ...'Add the new FMEA function to system hierarchy item #1 located in project #1.}} MyRepository.Project.SetCurrentProject(1)
  2 KB (274 words) - 18:51, 22 August 2016
• WeibullAnalysisResults Class
  ...the percent non-zero (Pnz) value of the data set. '''Double'''. A value of 1 indicates that there are no zero failure times in the data set; a decimal v {{APIPrefix|Call}} WDS.AddFailure(10, 1)
  2 KB (251 words) - 20:24, 24 June 2016
• Perform Accelerated Life Testing Data Analysis with Stress Profiles/VBA
  {{APIPrefix|Set}} listofsegments(1) = segment {{APIPrefix|Call}} ADS.AddFailure_2(252, 1, myProfile)
  3 KB (334 words) - 18:42, 23 March 2017
• CProfile.SetSegments
  {{APIPrefix|Dim}} listOfSegments(1) {{APIPrefix|As}} SynthesisAPI.ProfileSegment segment.SegmentEnd = 1
  3 KB (276 words) - 22:18, 22 March 2017
• ALTADataSet.AddStressDefinition
  :Optional. Double. The use stress level. Default value &#61; 1. {{APIPrefix|Call}} ADS.AddFailure_3(100, 1, 190, 235)
  2 KB (192 words) - 20:41, 24 June 2016
• Repository.Model.AddModel
  {{APIComment|'with beta &#61; 1 and eta &#61; 100. The model name is "MyNewModel."}} ModelParams(0) = 1
  3 KB (300 words) - 20:35, 18 August 2016
• Power Law Model Confidence Bounds Example
  ...){{e}^{\pm {{z}_{\alpha }}\sqrt{Var(\widehat{R}(t))}/\left[ \widehat{R}(t)(1-\widehat{R}(t)) \right]}}}\,\!</math> {{[\widehat{R}(t)]}_{L}}= & {{[\widehat{R}(\tau )]}^{\tfrac{1}{{{\Pi }_{1}}}}} \\
  2 KB (278 words) - 21:23, 18 September 2023
• Repository.Xfmea.AddXfmeaCause Method
  {{APIComment|'Add the new cause to project #1, under effect #2 in failure #1.}} MyRepository.Project.SetCurrentProject(1)
  2 KB (268 words) - 17:50, 9 June 2016
• Time-Dependent System Reliability for Components in Series
  ...ith the following failure rates (in failures per hour): <math>{{\lambda }_{1}} = 0.0002\,\!</math>, <math>{{\lambda }_{2}} = 0.0005\,\!</math> and <mat {{R}_{s}}(t)= & {{R}_{1}}(t)\cdot {{R}_{2}}(t)\cdot {{R}_{3}}(t) \\
  3 KB (439 words) - 20:57, 18 September 2023
• Mixed Data - Crow-AMSAA Example
  {|border="1" align="center" style="border-collapse: collapse;" cellpadding="5" cellspac |3|| 4|| 1|| 25
  2 KB (321 words) - 21:21, 18 September 2023
• Use of Regression to Calculate Sum of Squares
  & S{{S}_{A}}= & \underset{i=1}{\overset{{{n}_{a}}}{\mathop{\sum }}}\,{{n}_{b}}n{{({{{\bar{y}}}_{i..}}-{{{ & = & \underset{i=1}{\overset{{{n}_{a}}}{\mathop{\sum }}}\,\frac{y_{i..}^{2}}{{{n}_{b}}n}-\frac
  5 KB (802 words) - 19:07, 15 September 2023
• RGA SimuMatic Example
  ...bound on the required time to achieve the goal MTBF of 1,000 hours and the 1-sided 90% lower confidence bound on the MTBF at the end of the test time. T #Generate 1,000 data sets using SimuMatic along with the required output.
  3 KB (486 words) - 20:55, 18 September 2023
• Central Composite Response Surface Method
  The data are from Example 11-1 on page 431 in the book ''Design and Analysis of Experiments'' by Douglas C | 8076.580||170||-1||-1||76.5
  2 KB (283 words) - 21:08, 18 September 2023
• WeibullSolverNumParameters Enumeration
  | style="width: 150px;"|MS_1Parameter||style="width: 80px;"|0||1-parameter form. |MS_2Parameter||1||2-parameter form.
  511 bytes (57 words) - 18:16, 24 June 2016
• Repository.Xfmea.GetXfmeaCauseControls Method
  {{APIComment|'Get a list of causes for failure #1 from project #1.}} {{APIPrefix|Set}} Causes = MyRepository.Xfmea.GetAllXfmeaCauses(1)
  1 KB (135 words) - 18:48, 2 March 2018
• Lognormal MLE Solution with Right Censored Data
  | 1||F||252 | 1||F||315
  2 KB (286 words) - 16:18, 28 September 2015
• Sequential Data - Logistic Model
  {|border="1" align="center" style="border-collapse: collapse;" cellpadding="5" cellspac |1|| F|| 0.3333
  3 KB (388 words) - 21:23, 18 September 2023
• Repository.Xfmea.GetAllItemsInSystemHierarchy Method
  {{APIComment|'Get a list of all system hierarchy items in project #1.}} MyRepository.Project.SetCurrentProject (1)
  1 KB (130 words) - 18:30, 9 June 2016
• Add New Synthesis Resources to a Repository/VBA
  {{APIPrefix|Dim}} ModelParams(1) {{APIPrefix|As}} Double ModelParams(0) = 1
  1 KB (146 words) - 18:08, 3 April 2017
• Grouped per Configuration - Standard Gompertz Model
  {|border="1" align="center" style="border-collapse: collapse;" cellpadding="5" cellspac |1|| 10|| 5
  2 KB (269 words) - 21:23, 18 September 2023
• Repository.XFRACAS.AddSystemMetric1
  ...e reported on a particular date for a particular serialized system (Metric 1 only).</onlyinclude> :Required. Double. The value reported for Metric 1.
  544 bytes (64 words) - 23:03, 30 November 2017
• Mixed Data - Crow Extended Example
  {|border="1" align="center" style="border-collapse: collapse;" cellpadding="5" cellspac |1||8||BD||1
  4 KB (571 words) - 20:53, 18 September 2023
• Repository.Model.GetAllModelsInfo
  ...internal models automatically created with any new repository (model ID#s 1 to 20).</onlyinclude> {{APIComment|'Get a list of all local models in project #1.}}
  2 KB (184 words) - 18:53, 9 June 2016
• CModel.SetModel
  {{APIComment|'with beta &#61; 1 and eta &#61; 100. The model name is "MyNewModel."}} ModelParams(0) = 1
  3 KB (365 words) - 15:39, 28 April 2016
• CScheduledTask.SetTeams Method
  MyRepository.Project.SetCurrentProject(1) CrewIDs(0) = 1
  2 KB (241 words) - 22:09, 13 March 2019
• CCorrectiveTask.SetTeams Method
  MyRepository.Project.SetCurrentProject(1) CrewIDs(0) = 1
  2 KB (241 words) - 22:11, 13 March 2019
• Reliability Demonstration Test Design for Repairable Systems
  :<math>{{\lambda }_{i}}\left( t \right)=\lambda \beta {{t}^{\beta -1}}={{\lambda }_{c}}\left( t \right)\beta \,\!</math> :<math>{{\lambda }_{c}}\left( t \right)=\lambda {{t}^{\beta -1}}=\frac{{{\lambda }_{i}}\left( t \right)}{\beta }\,\!</math>
  2 KB (388 words) - 15:09, 14 February 2019
• Known Operating Times - Duane Example
  {|border="1" align="center" style="border-collapse: collapse;" cellpadding="5" cellspac !Test Time Unit 1(hours)
  3 KB (354 words) - 21:21, 18 September 2023
• Known Operating Times - Crow Extended Example
  {|border="1" align="center" style="border-collapse: collapse;" cellpadding="5" cellspac !Time Unit 1
  3 KB (463 words) - 20:53, 18 September 2023
• Logistic Distribution Example
  {| border="1" align="center" style="border-collapse: collapse;" cellpadding="5" cellspac |1 ||F || 8
  2 KB (248 words) - 21:39, 18 September 2023
• CScheduledTask.OnCondSetTeams Method
  MyRepository.Project.SetCurrentProject(1) CrewIDs(0) = 1
  2 KB (260 words) - 22:40, 13 March 2019
• ALTADataSet.Calculate
  {{APIPrefix|Call}} ADS.AddFailure_2(100, 1, 190) {{APIPrefix|Call}} ADS.AddFailure_2(120, 1, 190)
  2 KB (257 words) - 22:24, 4 May 2017
• Repository.Profile.AddProfile
  {{APIComment|'Add the new profile to project #1.}} MyRepository.Project.SetCurrentProject(1)
  2 KB (181 words) - 23:14, 22 March 2017
• Repository.Xfmea.GetXfmeaCauseControlsDictionary Method
  {{APIComment|'Get a list of causes for failure #1 from project #1.}} {{APIPrefix|Set}} Causes = MyRepository.Xfmea.GetAllXfmeaCauses(1)
  1 KB (153 words) - 17:23, 5 March 2018
• Repository.Xfmea.GetXfmeaCauseActionsDictionary Method
  {{APIComment|'Get a list of causes for failure #1 from project #1.}} {{APIPrefix|Set}} Causes = MyRepository.Xfmea.GetAllXfmeaCauses(1)
  1 KB (153 words) - 17:22, 5 March 2018
• Additional Information on Load Sharing
  For this example, Units 1 and 2 are the same component. Therefore, only one set of data was collecte \beta = & 1.9239 \\
  6 KB (909 words) - 19:43, 23 October 2012
• WeibullDataSet.Calculate
  {{APIPrefix|Call}} WDS.AddFailure(100, 1) {{APIPrefix|Call}} WDS.AddFailure(120, 1)
  2 KB (254 words) - 22:23, 4 May 2017
• Gap Analysis
  ...A model with a Weibull intensity function <math>\lambda \beta {{t}^{\beta -1}}\,\!</math>. It is not assumed that zero failures occurred during the gap ...,\!</math> and let <math>{{S}_{2}}<{{Y}_{1}}<{{Y}_{2}}<\ldots <{{Y}_{{{N}_{1}}}}\le T\,\!</math> be the failure times over <math>({{S}_{2}},\,T)\,\!</ma
  4 KB (533 words) - 21:15, 18 September 2023
• Warranty Analysis Usage Format Example
  {| border="1" align="center" style="border-collapse: collapse;" cellpadding="5" cellspac {| border="1" align="center" style="border-collapse: collapse;" cellpadding="5" cellspac
  3 KB (453 words) - 18:55, 18 September 2023
• Logistic
  :<math>R = \frac{1}{1+be^{-kt}}, b > 0, k > 0, T \simeq 0</math> .../math> and an S-shaped curve will be generated. However, when <math>0<b\le 1\,\!</math> , then <math>{{T}_{i}}\le 0\,\!</math> and the Logistic reliabil
  3 KB (460 words) - 18:18, 29 May 2014
• Example Using Success Failure Paths in Phase Diagrams
  For example, consider a system whose RBDs for Phase 1 and Phase 2 are as shown in the figure below: [[Image:RBD for Phase 1 and 2.png|center|500px|link=]]
  5 KB (772 words) - 21:01, 18 September 2023
• ANOVA Calculations in Multiple Linear Regression
  ::<math>\begin{align}SS_r = & \sum_{i=1}^n (y_i-\bar{y})^2 \\ = & \sum_{i=1}^n y_i^2-\frac{\left(\sum_{i=1}^n y_i\right)^2}{n}\end{align}\,\!</math>
  5 KB (777 words) - 19:08, 15 September 2023
• Power Law Model Parameter Estimation Example
  {|border="1" align="center" style="border-collapse: collapse;" cellpadding="5" cellspac !System 1 ( <math>{{X}_{i1}}\,\!</math> )
  2 KB (302 words) - 21:15, 18 September 2023
• Least Squares/Rank Regression Equations
  ::<math>\sum_{i=1}^N (\hat{a}+\hat{b} x_i - y_i)^2=min(a,b)\sum_{i=1}^N (a+b x_i-y_i)^2 \,\!</math> ::<math>F=\sum_{i=1}^N (a+bx_i-y_i)^2 \,\!</math>
  7 KB (1,180 words) - 19:15, 15 September 2023
• WeibullDataSet.UpdateCalculationProgress
  {{APIPrefix|Call}} wds.AddFailure(100, 1) {{APIPrefix|Call}} wds.AddFailure(120, 1)
  4 KB (418 words) - 23:41, 6 September 2016
• Crow Extended Model for Repairable Systems Analysis Example
  ...the field are recorded. Both systems started operating from time 0. System 1 ends at time = 504 and system 2 ends at time = 541. All the BD modes are fi ...the future failures, what would be the expected number of failures at time 1,000?
  1 KB (173 words) - 20:54, 18 September 2023
• Lognormal Distribution Functions
  ::<math>\mu ={{e}^{{\mu }'+\tfrac{1}{2}\sigma'^{2}}}\,\!</math> ...bar{T}} \right)-\frac{1}{2}\ln \left( \frac{\sigma^{2}}{{{{\bar{T}}}^{2}}}+1 \right)\,\!</math>
  4 KB (586 words) - 21:43, 18 September 2023
• Non-Parametric Bayesian - Subsystem Tests
  {| border="1" align="center" style="border-collapse: collapse;" cellpadding="5" cellspac | 1
  3 KB (403 words) - 18:55, 18 September 2023
• TeamInfo.SetCrewIDs Method
  CrewIDs(0) = 1 CrewIDs(1) = 4
  2 KB (229 words) - 16:07, 13 March 2019
• Reliability Data - Logistic Model
  {|border="1" align="center" style="border-collapse: collapse;" cellpadding="5" cellspac |1|| 35.50|| 38.48|| 38.14
  4 KB (473 words) - 21:30, 18 September 2023
• Interval Maintenance Threshold Example
  ...ynamic) will be performed if the start of the maintenance phase is within (1-X)% of the scheduled time for the action. This helps in optimizing the reso ...on. In this phase, Block A fails every 750 hours while Block B fails every 1,300 hours. Corrective maintenance on Block A in this phase requires 100 hou
  5 KB (794 words) - 21:02, 18 September 2023
• Duane Graphical Method Example
  {|border="1" align="center" style="border-collapse: collapse;" cellpadding="5" cellspac |1||200 ||2||100.0||100
  5 KB (754 words) - 21:29, 18 September 2023
• Temperature-Nonthermal (TNT)-Weibull Model
  | 1||F||47154||337.15||10||1||1||F||29672||398.15||10||3 | 1||F||51307||337.15||10||1||1||F||38586||398.15||10||3
  7 KB (803 words) - 18:21, 28 September 2015
• Repository.Variable.GetAllVariables
  {{APIComment|'Get a list of all local variables in project #1.}} MyRepository.Project.SetCurrentProject (1)
  1 KB (159 words) - 18:55, 9 June 2016
• ALTASolverLSR Enumeration
  |Arrhenius||1||Arrhenius life-stress relationship, Reciprocal X &#61; 1/V transformation.
  647 bytes (73 words) - 22:17, 20 April 2016
• Repository.Xfmea.UpdateItemInSystemHierarchy Method
  This example assumes that a system hierarchy item with record ID #1 exists in the first available project in a repository. {{APIComment|'Get a list of all items in the system hierarchy in project #1.}}
  2 KB (234 words) - 18:47, 9 June 2016
• Repository.Profile.GetAllProfiles
  {{APIComment|'Get a list of all profiles in project #1.}} MyRepository.Project.SetCurrentProject (1)
  1 KB (159 words) - 23:14, 22 March 2017
• Repository.Action.GetAllActions
  {{APIComment|'Get a list of all actions in project #1.}} MyRepository.Project.SetCurrentProject (1)
  1 KB (158 words) - 18:52, 9 June 2016
• Repository.XFRACAS.AddSystemMetric2
  ...s reported on a particular date for a particular serialized system (Metric 1 and 2).</onlyinclude> :Required. Double. The value reported for Metric 1.
  632 bytes (75 words) - 23:04, 30 November 2017
• Repository.Control.AddXfmeaControl
  {{APIComment|'Add the new control to project #1.}} MyRepository.Project.SetCurrentProject(1)
  2 KB (203 words) - 16:41, 9 June 2016
• Arrhenius-Lognormal Model for Interval Data
  | 1||384||F||788||523.15 ::<math>\mu' = \beta_{0}+\beta_{1} \times \frac{11605}{T}\,\!</math>
  4 KB (563 words) - 18:18, 28 September 2015
• Repository.Crew.GetAllCrews
  {{APIComment|'Get a list of all local crews in project #1.}} MyRepository.Project.SetCurrentProject (1)
  1 KB (159 words) - 18:52, 9 June 2016
• Repository.URD.GetAllURDs
  {{APIComment|'Get a list of all local URDs in project #1.}} MyRepository.Project.SetCurrentProject (1)
  1 KB (161 words) - 18:55, 9 June 2016
• Repository.Control.GetAllXfmeaControls
  {{APIComment|'Get a list of all Xfmea controls in project #1.}} MyRepository.Project.SetCurrentProject (1)
  1 KB (160 words) - 18:52, 9 June 2016
• ALTADataSet.AddSuspension
  {{APIPrefix|Call}} ADS.AddSuspension_2(100, 1, 190) {{APIPrefix|Call}} ADS.AddSuspension_2(120, 1, 190)
  3 KB (286 words) - 23:42, 22 March 2017
• Repository.Model.GetAllModels
  {{APIComment|'Get a list of all local models in project #1.}} MyRepository.Project.SetCurrentProject (1)
  1 KB (159 words) - 18:53, 9 June 2016
• The Exponential Distribution
  ...is, in fact, a special case of the Weibull distribution where <math>\beta =1\,\!</math>. The exponential distribution is used to model the behavior of u *The scale parameter is <math>\tfrac{1}{\lambda }=\bar{t}-\gamma =m-\gamma \,\!</math>.
  4 KB (539 words) - 00:23, 9 March 2023
• ALTADataSet.AddStressProfile
  segment.SegmentEnd = 1 {{APIPrefix|Set}} listOfSegments(1) = segment
  5 KB (491 words) - 23:28, 22 March 2017
• Repository.Task.GetAllCorrectiveTasks
  {{APIComment|'Get a list of all local corrective tasks in project #1.}} MyRepository.Project.SetCurrentProject (1)
  1 KB (162 words) - 18:54, 9 June 2016
• Repository.Task.GetAllScheduledTasks
  {{APIComment|'Get a list of all local scheduled tasks in project #1.}} MyRepository.Project.SetCurrentProject (1)
  1 KB (161 words) - 18:54, 9 June 2016
• ALTADataSet.AddSuspension 10
  {{APIPrefix|Call}} ADS.AddSuspension_2(100, 1, 190) {{APIPrefix|Call}} ADS.AddSuspension_2(120, 1, 190)
  3 KB (292 words) - 17:47, 5 May 2017
• Logistic Confidence Bounds
  {{template:LDABOOK|14.1|Logistic Confidence Bounds}} ...qrt{2\pi }}\int_{{{K}_{\alpha }}}^{\infty }{{e}^{-\tfrac{{{t}^{2}}}{2}}}dt=1-\Phi ({{K}_{\alpha }})\,\!</math>
  5 KB (672 words) - 00:59, 10 March 2023
• ALTADataSet.AddFailure
  {{APIPrefix|Call}} ADS.AddFailure_2(100, 1, 190) {{APIPrefix|Call}} ADS.AddFailure_2(120, 1, 190)
  3 KB (293 words) - 19:39, 10 August 2018
• Repository.Action.AddAction
  {{APIComment|'Add the new action to project #1.}} MyRepository.Project.SetCurrentProject(1)
  2 KB (210 words) - 15:34, 9 June 2016
• Sequential Data with Failure Modes - Logistic Model
  {|border="1" align="center" style="border-collapse: collapse;" cellpadding="5" cellspac |1|| F|| 2
  2 KB (278 words) - 21:22, 18 September 2023
• Repository.Pool.GetAllPools
  {{APIComment|'Get a list of all local spare part pools in project #1.}} MyRepository.Project.SetCurrentProject (1)
  1 KB (164 words) - 18:54, 9 June 2016
• ALTADataSet.AddFailure 10
  {{APIPrefix|Call}} ADS.AddFailure_2(100, 1, 190) {{APIPrefix|Call}} ADS.AddFailure_2(120, 1, 190)
  3 KB (299 words) - 17:46, 5 May 2017
• Crow Extended Confidence Bounds Example 2
  ...{\lambda }}_{CA}}=\widehat{\lambda }\widehat{\beta }{{T}^{\widehat{\beta }-1}}=0.12744\,\!</math> :<math>MTB{{F}_{D}}={{[{{\hat{\lambda }}_{D}}(T)]}^{-1}}=7.84708\,\!</math>
  5 KB (711 words) - 21:31, 18 September 2023
• Grouped Per Configuration Reference Example
  | 1||5||14 | 1||0.667
  1 KB (147 words) - 18:26, 28 September 2015
• Parametric Binomial Reliability Demonstration Test
  To demonstrate a reliability of 97% at 1,000 hours with 50% confidence, 15 samples are tested for a zero failure tes The book shows that the units should be tested for 1,232 hours.
  787 bytes (109 words) - 16:25, 28 September 2015
• Weibull++ Plot ptPdf
  {| class="FCK__ShowTableBorders" border="0" cellspacing="1" cellpadding="1"
  1 KB (168 words) - 07:09, 20 August 2012
• Repository.Crew.AddCrew
  {{APIComment|'Add the new crew to project #1.}} MyRepository.Project.SetCurrentProject(1)
  2 KB (235 words) - 20:34, 18 August 2016
• Repository.URD.AddURD
  {{APIComment|'Add the new URD to project #1.}} MyRepository.Project.SetCurrentProject(1)
  2 KB (237 words) - 20:37, 18 August 2016
• WAPlots.CreatePlot
  WDS.AddFailure(1, 1) WDS.AddFailure(2, 1)
  2 KB (227 words) - 15:11, 3 August 2017
• Crow-AMSAA Parameter Estimation Example
  {|border="1" align="center" style="border-collapse: collapse;" cellpadding="5" cellspac |1|| 2.7|| 0.99325
  2 KB (242 words) - 21:21, 18 September 2023
• Repository.Variable.AddVariable
  {{APIComment|'Add the new variable to project #1.}} MyRepository.Project.SetCurrentProject(1)
  2 KB (234 words) - 20:37, 18 August 2016
• 1P Exponential Example
  '''1-Parameter Exponential Probability Plot Example''' ...imes are 7, 12, 19, 29, 41, and 67 hours. Estimate the failure rate for a 1-parameter exponential distribution using the probability plotting method.
  2 KB (289 words) - 21:44, 18 September 2023
• Repository.Task.AddScheduledTask
  {{APIComment|'Add the new task to project #1.}} MyRepository.Project.SetCurrentProject(1)
  2 KB (238 words) - 20:36, 18 August 2016
• Repository.Task.AddCorrectiveTask
  {{APIComment|'Add the new task to project #1.}} MyRepository.Project.SetCurrentProject(1)
  2 KB (240 words) - 20:36, 18 August 2016
• ALTADataSet.UpdateCalculationProgress
  {{APIPrefix|Call}} ads.AddFailure_2(245, 1, 353) {{APIPrefix|Call}} ads.AddFailure_2(110, 1, 373)
  4 KB (450 words) - 23:43, 6 September 2016
• Repository.BlockSim.GetRBDBlockData
  MyRepository.Project.SetCurrentProject(1) {{APIComment|'Get block #1 from diagram #21 in the project.}}
  3 KB (282 words) - 23:30, 6 September 2016
• Repository.XFRACAS.AddSystemMetric3
  ...s reported on a particular date for a particular serialized system (Metric 1, 2 and 3).</onlyinclude> :Required. Double. The value reported for Metric 1.
  723 bytes (86 words) - 23:04, 30 November 2017
• Arrhenius-Lognormal Model for Interval Data with Activation Energy
  | 1||384||F||788||523.15 ::<math>\mu' = \beta_{0}+\beta_{1} \times \frac{11605}{T}\,\!</math>
  3 KB (401 words) - 18:19, 28 September 2015
• Stress-Strength Analysis
  ...}_{1}}\le {{X}_{2}}]=\frac{1}{{{F}_{1}}(U)-{{F}_{1}}(L)}\int_{L}^{U}{{{f}_{1}}(x)\cdot {{R}_{2}}(x)}dx\,\!</math> :: <math>L\le {{X}_{1}}\le U\,\!</math>
  7 KB (1,112 words) - 19:11, 15 September 2023
• Repository.Pool.AddPool
  {{APIComment|'Add the new spare part pool to project #1.}} MyRepository.Project.SetCurrentProject(1)
  2 KB (244 words) - 20:35, 18 August 2016
• CModel Constructors
  {|border="1" cellpadding="5" cellspacing="0" style="border-collapse: collapse; text-ali ...he numeric ID of the variable resource for Parameter 2, then set Parameter 1 to zero (0) or nothing. If the variable does not exist, it creates a dynami
  3 KB (368 words) - 15:14, 3 August 2017
• Repository.Model.UpdateModel
  {{APIComment|'Get model #47 from project #1.}} MyRepository.Project.SetCurrentProject(1)
  2 KB (240 words) - 20:34, 18 August 2016
• Reliability Data - Modified Gompertz Model
  A reliability growth data set is given in columns 1 and 2 of the following table. Find the modified Gompertz curve that represe {|border="1" align="center" style="border-collapse: collapse;" cellpadding="5" cellspac
  6 KB (737 words) - 21:31, 18 September 2023
• Appendix A: Generating Random Numbers from a Distribution
  ::<math>F(T)=1-{{e}^{-{{\left( \tfrac{T}{\eta } \right)}^{\beta }}}}\,\!</math> R(T)= & 1-F(t) \\
  2 KB (345 words) - 19:24, 15 September 2023
• ALTADataSet.AddSuspensionInterval
  {{APIPrefix|Call}} ADS.AddSuspensionInterval_2(100, 120, 1, 190) {{APIPrefix|Call}} ADS.AddSuspensionInterval_2(120, 130, 1, 190)
  3 KB (309 words) - 23:48, 22 March 2017
• Appendix: Maximum Likelihood Estimation Example
  f(x;{{\theta }_{1}},{{\theta }_{2}},...,{{\theta }_{k}}), ...riment and obtain <math>N\,\!</math> independent observations, <math>{{x}_{1}},\,\!</math> <math>{{x}_{2}},\,\!</math><math>...,\,\!</math> <math>{{x}_{
  8 KB (1,122 words) - 19:13, 15 September 2023
• WAPlots.CreatePlotVB6
  {{APIPrefix|Call}} WDS.AddFailure(1, 1) {{APIPrefix|Call}} WDS.AddFailure(2, 1)
  2 KB (238 words) - 16:29, 24 June 2016
• Repository.Model.DeleteModel
  {{APIComment|'Delete model #71 from project #1.}} MyRepository.Project.SetCurrentProject(1)
  925 bytes (111 words) - 17:25, 8 April 2016
• Repository.BlockSim.UpdateRBDBlockData
  {{APIComment|'Connect to project #1 in the repository.}} MyRepository.Project.SetCurrentProject (1)
  2 KB (219 words) - 23:32, 6 September 2016
• Warranty Analysis Non-Homogeneous Data Example
  \text{400} & \text{1/1/2005} & \text{Model A} \\ \text{500} & \text{1/31/2005} & \text{Model A} \\
  7 KB (811 words) - 18:54, 18 September 2023
• ALTADataSet.AddSuspensionInterval 10
  {{APIPrefix|Call}} ADS.AddSuspensionInterval_2(100, 120, 1, 190) {{APIPrefix|Call}} ADS.AddSuspensionInterval_2(120, 130, 1, 190)
  3 KB (315 words) - 17:47, 5 May 2017
• Exponential Distribution Functions
  = & \gamma +\frac{1}{\lambda }=m ::<math> \breve{T}=\gamma +\frac{1}{\lambda}\cdot 0.693 \,\!</math>
  4 KB (570 words) - 21:41, 18 September 2023
• Weibull++ Plot ptUnreliability
  {| class="FCK__ShowTableBorders" border="0" cellspacing="1" cellpadding="1"
  1 KB (176 words) - 05:57, 20 August 2012
• CModel.Bounds MeanTime
  :Optional. Double. The duty cycle. Default value = 1. {{APIComment|'Get model ID #47 from project ID #1 in the repository.}}
  2 KB (267 words) - 19:01, 18 August 2016
• Example Using Load Sharing Gates in Fault Trees
  ...aining <math>B\,\!</math> events are halved. Determine the reliability at 1,000 hours for this component. ::<math>{{\mu }_{1}}= \frac{1}{KV_{1}^{n}}\ \,\!</math>
  5 KB (802 words) - 21:00, 18 September 2023
• CModel.SetUseStress
  ...rst stress in the model has an index = 0, the second stress has an index = 1, etc.). This example assumes that an ALTA model with ID #47 exists in project ID #1 of a repository.
  4 KB (476 words) - 21:17, 13 November 2015
• Perform Accelerated Life Testing Data Analysis on External Data Source
  |1||F||245||353 |1||F||110||373
  6 KB (762 words) - 18:49, 3 April 2017
• Weibull++ Plot ptFSPie
  {| class="FCK__ShowTableBorders" border="0" cellspacing="1" cellpadding="1"
  1 KB (179 words) - 23:43, 20 August 2012
• Availability Analysis Reference Example
  ...epair rates both follow exponential distributions with a failure rate of 0.1 failures per hour and a repair rate of 0.2 repairs per hour. |Component 1||0.1||0.2
  4 KB (635 words) - 16:35, 20 August 2015
• Failure Discounting
  :<math>f=1-{{(1-CL)}^{\tfrac{1}{{{S}_{n}}}}}\,\!</math> ..., after one successful test following a corrective action, <math>{{S}_{n}}=1\,\!</math>, the failure is given a value of 0.9 based on a 90% confidence l
  2 KB (318 words) - 20:39, 18 September 2023
• Weibull++ Plot ptFailureRate
  {| class="FCK__ShowTableBorders" border="0" cellspacing="1" cellpadding="1"
  1 KB (177 words) - 07:16, 20 August 2012
• Crow-AMSAA Discrete Model Example
  *Configuration 1 experienced 5 failures, {|border="1" align="center" style="border-collapse: collapse;" cellpadding="5" cellspac
  2 KB (192 words) - 21:16, 18 September 2023
• Lloyd-Lipow
  ...he observed reliability given and <math>{{n}_{k}}\,\!</math> is considered 1. :<math>{{L}_{k}}=const.\text{ }R_{k}^{{{S}_{k}}}{{(1-{{R}_{k}})}^{{{n}_{k}}-{{S}_{k}}}}\,\!</math>
  13 KB (1,948 words) - 22:55, 3 June 2014
• Crow-AMSAA Confidence Bounds Example
  \begin{bmatrix}122.43 & 333.64\\ 333.64 & 967.68\end{bmatrix}^{-1} & = \begin{bmatrix}Var(\hat{\lambda}) & Cov(\hat{\beta},\hat{\lambda})\\ ...{{\lambda }_{c}}(T)}{\partial \beta }= & \hat{\lambda }{{T}^{\hat{\beta }-1}}\ln (T) \\
  10 KB (1,186 words) - 21:31, 18 September 2023
• Exponential Examples
  *[http://www.reliawiki.org/index.php/1P_Exponential_Example 1-Parameter Exponential Example]
  466 bytes (60 words) - 04:32, 13 August 2012
• CScheduledTask.SetPools Method
  {{APIPrefix|Dim}} myarray(1) {{APIPrefix|As PoolInfo}} myarray(1).ID = 4
  1 KB (171 words) - 17:03, 4 May 2020
• CCorrectiveTask.SetPools Method
  {{APIPrefix|Dim}} myarray(1) {{APIPrefix|As PoolInfo}} myarray(1).ID = 4
  1 KB (171 words) - 17:02, 4 May 2020
• Probability Plotting Example
  \text{96} & \text{1} \\ \text{1,051} & \text{5} \\
  3 KB (465 words) - 18:33, 18 September 2023
• The Loglogistic Distribution
  ::<math>f(t)=\frac{{{e}^{z}}}{\sigma {t}{{(1+{{e}^{z}})}^{2}}}\,\!</math> ::<math>\overline{T}={{e}^{\mu }}\Gamma (1+\sigma )\Gamma (1-\sigma )\,\!</math>
  9 KB (1,321 words) - 17:12, 23 December 2015
• Inverse Power Law (IPL)-Lognormal Model
  | 49||157.1 | 99||157.1
  3 KB (399 words) - 18:19, 28 September 2015
• Non-Parametric Bayesian - Expert Opinion
  ...[\frac{E\left(R_{0}\right)-E^{2}\left(R_{0}\right)}{Var\left(R_{0}\right)}-1\right]=127.0794\,\!</math> ...[\frac{E\left(R_{0}\right)-E^{2}\left(R_{0}\right)}{Var\left(R_{0}\right)}-1\right]=20.40153\,\!</math>
  3 KB (493 words) - 18:55, 18 September 2023
• Repository.Model.GetModel
  {{APIComment|'Get model #47 from project#1.}} MyRepository.Project.SetCurrentProject(1)
  2 KB (242 words) - 18:53, 9 June 2016
• Optimum Overhaul Example
  #If <math>\beta <1\,\!</math>, would it be cost-effective to implement an overhaul policy? {|border="1" align="center" style="border-collapse: collapse;" cellpadding="5" cellspac
  2 KB (240 words) - 20:54, 18 September 2023
• Load Sharing Configuration Example
  Determine the reliability at 1,000 hours for this component. ...iner with weight proportionality factors of 1, 2 and 3 respectively (and a 1-out-of-3 requirement).
  4 KB (603 words) - 20:04, 23 October 2012
• CModel.Bounds Time
  :Optional. Double. The duty cycle. Default value = 1. {{APIComment|'Get model ID #47 from project ID #1 in the repository.}}
  3 KB (285 words) - 19:02, 18 August 2016
• Perform Life Data Analysis on External Data Source
  |1||F||16 |1||F||34
  5 KB (619 words) - 18:43, 3 April 2017
• WeibullDataSet.CalculateBestFit
  {{APIPrefix|Call}} WDS.AddFailure(100, 1) {{APIPrefix|Call}} WDS.AddFailure(120, 1)
  3 KB (377 words) - 16:07, 17 August 2016
• CModel.Bounds Reliability
  :Optional. Double. The duty cycle. Default value = 1. {{APIComment|'Get model ID #47 from project ID #1 in the repository.}}
  3 KB (278 words) - 16:03, 23 September 2016
• Test-Find-Test Data Reference Example
  | 1||0.7 ...BD modes: CVM = 0.085, critical value = 0.171 with significance level = 0.1. Since CVM < critical value can fail to reject hypothesis that the model fi
  3 KB (392 words) - 18:26, 28 September 2015
• Criticality Analysis
  ...in a system failure (which for the case of non-redundancy or if in series =1). ...\frac{\frac{Q{{(t)}_{{{mode}_{i}}}}}{Q{{(t)}_{Component}}}}{\sum\limits_{i=1}^{M}{\frac{Q{{(t)}_{{{mode}_{i}}}}}{Q{{(t)}_{Component}}}}}\,\!</math>
  7 KB (1,111 words) - 05:19, 23 August 2012
• Parametric Binomial Example - Demonstrate MTTF
  ...We will assume a Weibull distribution with a shape parameter <math>\beta =1.5\,\!</math>. We want to determine the number of units to test for <math>{{ ::<math>MTTF=\eta \cdot \Gamma (1+\frac{1}{\beta })\,\!</math>
  2 KB (360 words) - 18:55, 18 September 2023
• Test-Fix-Test Data (Failure Terminated) Reference Example
  ...sign and Test – Statistical Test and Estimation Methods), Example 2 – Case 1, pg. 30. *Beta(UnB) = 0.5594, Lambda = 1.1067
  2 KB (235 words) - 18:27, 28 September 2015
• Stress-Strength Parameter Uncertainty Example
  ...s to estimate the reliability of the component within the warranty period (1 year/15,000 miles). {| border="1" align="center" style="border-collapse: collapse;" cellpadding="5" cellspac
  5 KB (554 words) - 18:53, 18 September 2023
• Parallel Systems RBD
  ...th parameters α = 35,800 hours (this is the eta value in BlockSim) and β = 1.35. We calculate the reliability of the system after 8760 hours of use, and ...}\right)^{\beta} \right ] = exp\left [ -\left(\frac{8,760}{35,800}\right)^{1.35} \right ] = 0.8611\,\!</math>
  3 KB (442 words) - 17:12, 31 July 2015
• CModel.Bounds FailureRate
  :Optional. Double. The duty cycle. Default value = 1. {{APIComment|'Get model ID #47 from project ID #1 in the repository.}}
  3 KB (282 words) - 19:01, 18 August 2016
• General Log-Linear Relationship Example
  ...ator variable that takes a discrete value of 0 for an on/off operation and 1 for a continuous operation. The following figure shows the stress types and ::<math>\eta ={{e}^{{{\alpha }_{0}}+{{\alpha }_{1}}\tfrac{1}{{{V}_{1}}}+{{\alpha }_{2}}\ln ({{V}_{2}})+{{\alpha }_{3}}{{V}_{3}}}}\,\!</math>
  4 KB (644 words) - 19:03, 18 September 2023
• Multi-Phase - Mixed Data
  {|border="1" align="center" style="border-collapse: collapse;" cellpadding="5" cellspac |F||1||8||BD||1
  7 KB (930 words) - 20:53, 18 September 2023
• Duane Confidence Bounds Example
  :<math>\hat{b}=1.9453\,\!</math> ...p \sum }}\,{{(\ln {{t}_{i}})}^{2}} \right]-\frac{1}{n}{{\left( \underset{i=1}{\overset{n}{\mathop \sum }}\,\ln ({{t}_{i}}) \right)}^{2}} \\
  4 KB (503 words) - 21:23, 18 September 2023
• Sequential Data - Lloyd-Lipow Model
  {|border="1" align="center" style="border-collapse: collapse;" cellpadding="5" cellspac |1|| F
  1 KB (160 words) - 21:17, 18 September 2023
• Weibull++ Plot ptProbability
  {| class="FCK__ShowTableBorders" border="0" cellspacing="1" cellpadding="1"
  1 KB (195 words) - 07:03, 20 August 2012
• CModel.Bounds Unreliability
  :Optional. Double. The duty cycle. Default value = 1. {{APIComment|'Get model ID #47 from project ID #1 in the repository.}}
  3 KB (288 words) - 19:02, 18 August 2016
• ALTAStressProfile.AddSegment
  {{APIPrefix|Call}} sp.AddSegment(1, 250) sp.AddSegment(1, 250)
  1,003 bytes (100 words) - 22:04, 23 March 2017
• The Gamma Distribution
  R=1-{{\Gamma }_{I}}(k;{{e}^{z}}) The mode exists if <math>k>1\,\!</math> and is given by:
  8 KB (1,229 words) - 17:10, 23 December 2015
• Operational Testing Example
  #After estimating the parameters, verify the assumption of <math>\beta = 1\,\!</math>. {|width="350" border="1" align="center" style="border-collapse: collapse;" cellpadding="5" cellspac
  3 KB (367 words) - 21:35, 18 September 2023
• Hypothesis Tests
  :<math>{{u}_{q}}(t)={{\lambda }_{q}}{{\beta }_{q}}{{t}^{{{\beta }_{q}}-1}}\,\!</math> ...tes the hypothesis, <math>{{H}_{o}}\,\!</math>, such that <math>{{\beta }_{1}}={{\beta }_{2}}=\ldots ={{\beta }_{K}}\,\!</math>. Let <math>{{\tilde{\bet
  8 KB (1,083 words) - 20:40, 18 September 2023
• Weibull-Bayesian with Prior Information on Beta
  The data set from Example 14.1 on page 348 in the book ''Statistical Methods for Reliability Data'' by Dr. | 1||F||230
  3 KB (440 words) - 16:21, 28 September 2015
• Lognormal Distribution Examples
  {|border="1" align="center" style="border-collapse: collapse;" cellpadding="5" cellspac |1 ||F||2
  8 KB (870 words) - 21:46, 18 September 2023
• ALTAStressProfile.GetSegments
  {{APIPrefix|Call}} SP.AddSegment(1, 250) SP.AddSegment(1, 250)
  1 KB (112 words) - 22:05, 23 March 2017
• Maintenance Planning
  <math>E(\text{Cost Per Cycle})={{C}_{P}}R(x)+{{C}_{U}}\left( 1-R(x) \right)</math> ...}{E\left( \text{Cycle Length} \right)}=\frac{{{C}_{P}}R(x)+{{C}_{U}}\left( 1-R(x) \right)}{\int_{0}^{x}{R(t)dt}}</math>
  7 KB (1,243 words) - 19:16, 15 September 2023
• Crow Extended Confidence Bounds
  ...}_{D}}(T)-{{\lambda }_{D}}(T)}{\sqrt{{{\lambda }_{D}}(T)}} \right)\sim N(0,1)\,\!</math> where <math>C=\tfrac{{{z}_{1-\alpha /2}}}{\sqrt{T}}\,\!</math>.
  10 KB (1,494 words) - 20:41, 18 September 2023
• Weibull++ Plot ptFSHistogram
  {| class="FCK__ShowTableBorders" border="0" cellspacing="1" cellpadding="1"
  1 KB (203 words) - 22:41, 20 August 2012
• Equivalent System Example
  <li>The next figure illustrates the application of rule #1 for mode BD1. The mode in the equivalent single system is calculated as <ma The next figure illustrates the application of rule #1 for mode A110. The mode in the equivalent single system is calculated as <m
  3 KB (456 words) - 20:53, 18 September 2023
• Reliability Importance Example
  ...mean time to occurrence of 1,000 hours (i.e., exponential with <math>MTTF=1,000).\,\!</math> <br> ...exponential with <math>MTT{{F}_{B}}=700,000\,\!</math>, <math>MTT{{F}_{C}}=1,000,000\,\!</math> and <math>MTT{{F}_{F}}=2,000,000).\,\!</math> <br>
  2 KB (371 words) - 20:59, 18 September 2023
• WeibullBestFitOptions Class
  | style="width: 200px;"|AllowExponential1||Indicates whether the 1-parameter exponential distribution will be considered. '''Boolean'''. Defau {{APIPrefix|Call}} WDS.AddFailure(10, 1)
  5 KB (580 words) - 20:29, 24 June 2016
• Failure Discounting Example
  ...nches given in the first table below, the first failure was caused by Mode 1, the second and fourth failures were caused by Mode 2, the third and fifth {|border="1" align="center" style="border-collapse: collapse;" cellpadding="5" cellspac
  8 KB (868 words) - 20:39, 18 September 2023
• Operational Testing
  ...include one, then you can fail to reject the hypothesis that <math>\beta = 1\,\!</math>.
  2 KB (252 words) - 18:31, 24 April 2014
• Reliability Data - Standard Gompertz Model
  {|border="1" align="center" style="border-collapse: collapse;" cellpadding="5" cellspac |1|| 1|| 66|| 4.190
  7 KB (857 words) - 21:31, 18 September 2023
• CModel.Bounds Parameters
  {{APIComment|'Get model ID #47 from project ID #1 in the repository.}} MyRepository.Project.SetCurrentProject(1)
  3 KB (287 words) - 19:02, 18 August 2016
• Crow-AMSAA Model - Grouped Data Example
  {|border="1" align="center" style="border-collapse: collapse;" cellpadding="5" cellspac |1|| 2|| 200|| 5.298|| 28.072|| 0.693|| 3.673
  1 KB (141 words) - 21:20, 18 September 2023
• Test-Fix-Find-Test Data Example
  {|border="1" align="center" style="border-collapse: collapse;" cellpadding="5" cellspac |1|| .67
  5 KB (727 words) - 21:23, 18 September 2023
• 2P Exponential Example
  {| border="1" align="center" style="border-collapse: collapse;" cellpadding="5" cellspac |1 ||5
  6 KB (678 words) - 21:45, 18 September 2023
• Repository.Model.IsModelUsed
  {{APIComment|'Check whether model #42 from project #1 is in use.}} MyRepository.Project.SetCurrentProject(1)
  1 KB (150 words) - 18:57, 8 April 2016
• RBI Deviations From API RP 580/581
  == Part 1 Assumptions/Deviations == 1. ReliaSoft added area consequence to PRDs when failure to open occurs, sinc
  3 KB (481 words) - 18:15, 23 April 2014
• ALTA Simumatic Plot
  {| class="FCK__ShowTableBorders" border="0" cellspacing="1" cellpadding="1"
  1 KB (207 words) - 22:53, 12 February 2013
• The Generalized Gamma Distribution
  ...eta }{\Gamma (k)\cdot \theta }{{\left( \frac{t}{\theta } \right)}^{k\beta -1}}{{e}^{-{{\left( \frac{t}{\theta } \right)}^{\beta }}}}\,\!</math> ::<math>\Gamma (x)=\int_{0}^{\infty }{{{s}^{x-1}}}\cdot {{e}^{-s}}ds\,\!</math>
  13 KB (1,814 words) - 22:06, 14 July 2017
• Growth Plan for Three Phases
  *The growth potential design margin factor is <math>GPDM=1.35\,\!</math>. ...00\,\!</math> hours. The average fix delays for each phase are <math>{{L}_{1}}=500\,\!</math>, <math>{{L}_{2}}=700\,\!</math> and <math>{{L}_{3}}=1000
  11 KB (1,658 words) - 20:53, 18 September 2023
• Test-Find-Test Data Example
  ...otal number of BD failures during the test is <math>{{N}_{BD}}=\underset{j=1}{\overset{M}{\mathop{\sum }}}\,{{N}_{j}}\,\!</math>. These values and effec {|border="1" align="center" style="border-collapse: collapse;" cellpadding="5" cellspac
  6 KB (731 words) - 21:30, 18 September 2023
• CScheduledTask.SetCrewIDs Method
  {{APIPrefix|Dim}} myarray(1) {{APIPrefix|As Long}} myarray(1) = 4
  1 KB (144 words) - 21:28, 17 August 2017
• CCorrectiveTask.SetCrewIDs Method
  {{APIPrefix|Dim}} myarray(1) {{APIPrefix|As Long}} myarray(1) = 4
  1 KB (145 words) - 19:05, 18 August 2016
• Comparing the Standard and Modified Gompertz Models
  {|border="1" align="center" style="border-collapse: collapse;" cellpadding="5" cellspac |1|| 38
  1 KB (169 words) - 21:20, 18 September 2023
• Optimum Replacement Time Example
  :* The cost for a preventive replacement is $1.<br> = & \frac{{{C}_{P}}\cdot R\left( t \right)+{{C}_{U}}\cdot \left[ 1-R\left( t \right) \right]}{\int_{0}^{t}R\left( s \right)ds}
  3 KB (484 words) - 21:04, 18 September 2023
• Perform Accelerated Life Testing Data Analysis with Stress Profiles 10
  |1||F||252 |1||F||280
  8 KB (1,008 words) - 18:24, 23 March 2017
• Difference Detection Matrix Example
  ...y for both designs is assumed to follow a Weibull distribution. For Design 1, its shape parameter <math>\beta = 3\,\!</math>; for Design 2, its <math>\b ...s 2 for cell (1000, 2000). This means that if the B10 life for Design 1 is 1,000 hours and the B10 life for Design 2 is 2,000 hours, the difference can
  4 KB (610 words) - 18:56, 18 September 2023
• Weibull++ Plot ptFSTimeline
  {| class="FCK__ShowTableBorders" border="0" cellspacing="1" cellpadding="1"
  1 KB (218 words) - 23:51, 20 August 2012
• CURD.SetScheduledTaskIDs Method
  {{APIPrefix|Dim}} myarray(1) {{APIPrefix|As Long}} myarray(1) = 4
  1 KB (146 words) - 21:22, 17 August 2017
• ALTA SimuMatic Example
  ...ponent in order to demonstrate a B10 life of 1 year with a 90% confidence (1-sided limit). The engineer has 3 months available for testing and wants to ...the use stress level. Therefore he sets the characteristic life at 400K as 1/40th of the calculated characteristic life at 300K as shown in the next fig
  4 KB (680 words) - 07:39, 8 August 2012
• Repository.Xfmea.GetAllXfmeaCausesDictionary Method
  MyRepository.Project.SetCurrentProject(1) Dict = MyRepository.Xfmea.GetAllXfmeaCausesDictionary(1)
  1 KB (169 words) - 15:09, 3 August 2017
• BlockSim Allocation Analysis Example
  ...to-failure that are described by a Weibull distribution with <math>\beta = 1.318\,\!</math> and <math>\eta = 312\,\!</math> hours. All three components *'''Case 2''' - Same as in Case 1, but Component 1 has a feasibility of Easy, Component 2 has a feasibility of Moderate and Co
  9 KB (1,320 words) - 20:56, 18 September 2023
• Non-Parametric Recurrent Event Data Analysis
  [[Image:Lda11.1.png|center|400px]] ...population has accumulated 0 recurrences, another fraction has accumulated 1 recurrence, another fraction has accumulated 2 recurrences, etc. This distr
  6 KB (891 words) - 18:53, 18 September 2023
• Repository.BlockSim.ImportBlockSimXMLFile
  {{APIComment|'Import the data from the XML file into project #1 in the repository.}} MyRepository.Project.SetCurrentProject(1)
  1 KB (164 words) - 20:30, 18 August 2016
• General Log-Linear Relationship
  ...of a vector of <math>n\,\!</math> stresses, or <math>\underline{X}=({{X}_{1}},{{X}_{2}}...{{X}_{n}}).\,\!</math> ALTA includes this relationship and al ::<math>L(\underline{X})={{e}^{{{\alpha }_{0}}+\underset{j=1}{\overset{n}{\mathop{\sum }}}\,{{\alpha }_{j}}{{X}_{j}}}}\,\!</math>
  10 KB (1,409 words) - 23:26, 1 February 2017
• Confidence Bounds for Repairable Systems Analysis
  ...ln (\beta )}{\sqrt{Var\left[ \ln (\hat{\beta }) \right]}}\ \tilde{\ }\ N(0,1)\,\!</math> ...{S}_{q}}) \right]-\underset{q=1}{\overset{K}{\mathop{\sum }}}\,\underset{i=1}{\overset{{{N}_{q}}}{\mathop{\sum }}}\,\ln ({{X}_{i}}{{}_{q}})}\,\!</math>
  35 KB (5,135 words) - 20:42, 18 September 2023
• K-out-of-n Systems
  ...sum^{n}_{i=k}\frac{1}{i} = \frac{1}{2.7 \times 10^{-5}}\sum^{5}_{i=3}\frac{1}{i} = 2.9 \times 10^{4}\,\!</math> &nbsp; hours ::<math>R(t) = \sum^{n}_{i=k}C^{i}_{n} e^{-\lambda i t} (1-e^{-\lambda t})^{n-i}\,\!</math>
  3 KB (386 words) - 18:21, 31 July 2015
• ALTA ALTA Degradation Plot ptDegradationLog
  {| class="FCK__ShowTableBorders" border="0" cellspacing="1" cellpadding="1"
  2 KB (240 words) - 02:57, 2 August 2012
• Appendix: Log-Likelihood Equations
  ...{{\left( \tfrac{{{T}_{i}}}{\eta } \right)}^{\beta }}}} \right]-\underset{i=1}{\overset{S}{\mathop \sum }}\,N_{i}^{\prime }{{\left( \frac{T_{i}^{\prime } & \text{ }+\underset{i=1}{\overset{FI}{\mathop \sum }}\,N_{i}^{\prime \prime }\ln \left[ {{e}^{-{{\l
  57 KB (8,539 words) - 19:13, 15 September 2023
• ALTA ALTA Degradation Plot ptDegradationLinear
  {| class="FCK__ShowTableBorders" border="0" cellspacing="1" cellpadding="1"
  2 KB (240 words) - 02:56, 2 August 2012
• Repository.Xfmea.GetAllXfmeaFailuresDictionary Method
  MyRepository.Project.SetCurrentProject(1) Dict = MyRepository.Xfmea.GetAllXfmeaFailuresDictionary(1)
  1 KB (171 words) - 15:09, 3 August 2017
• Component Importance Reference Example
  |Computer 1||5.5 x 10^-6 R(t)&=[1-(1-R_{C1})(1-R_{C3})]R_{C2}+R_{C3}R_{C4}(1-R_{C2})\\
  5 KB (713 words) - 14:39, 8 August 2016
• Duane Linear Regression Examples
  ...SCLUDED IN PAGE: Duane Model Examples. IF YOU EDIT THE DATA SET IN EXAMPLE 1, YOU MUST ALSO EDIT THE DATA SET AND RESULTS ON THE FOLLOWING PAGES: Duane ==Example 1==
  10 KB (1,065 words) - 21:30, 18 September 2023
• WeibullAnalysisOptions Class
  ...is assumed to follow a uniform distribution. '''Double'''. Default value = 1. ...is assumed to follow a normal distribution. '''Double'''. Default value = 1.
  6 KB (769 words) - 20:27, 24 June 2016
• Repository.BlockSim.ExportBlockSimXMLFile
  {{APIComment|'Export the data from project #1 in the repository. Name the file "MyBlockSimData.xml" and save it in the C: MyRepository.Project.SetCurrentProject(1)
  1 KB (168 words) - 20:31, 18 August 2016
• CModel.SetConfidenceLevel
  {{APIComment|'Get model ID #47 from project ID #1 in the repository.}} MyRepository.Project.SetCurrentProject(1)
  3 KB (309 words) - 19:02, 9 June 2016
• Example Calculating System Reliability with Duty Cycles
  ...lowing parameters, <math>{{\beta }_{1}}=1.5\,\!</math> and <math>{{\eta }_{1}}=5000\,\!</math>. For the hard drive, the parameters are <math>{{\beta }_ ...}}(365)= & {{e}^{-{{\left( \tfrac{365}{{{\eta }_{1}}} \right)}^{{{\beta }_{1}}}}}} \\
  3 KB (324 words) - 20:57, 18 September 2023
• Series Systems RBD
  |Body||5.1 x 10^-4 Substituting the values of <math>\lambda_{1}</math>, <math>\lambda_{2}</math>, <math>\lambda_{3}</math>, and <math>\lam
  3 KB (401 words) - 15:51, 20 August 2015
• Crow-AMSAA Confidence Bounds
  ...ln \hat{\beta }-\ln \beta }{\sqrt{Var(\ln \hat{\beta }})}\ \tilde{\ }\ N(0,1)\,\!</math> ...<math>\alpha \,\!</math> ) according to a 2-sided confidence interval or a 1-sided confidence interval, and variances can be calculated using the Fisher
  50 KB (7,286 words) - 20:42, 18 September 2023
• The Lognormal Distribution
  ::<math>f({t}')=\frac{1}{{{\sigma' }}\sqrt{2\pi }}{{e}^{-\tfrac{1}{2}{{\left( \tfrac{{{t}^{\prime }}-{\mu }'}{{{\sigma' }}} \right)}^{2}}}}\, f(t)= & \frac{1}{t\cdot {{\sigma' }}\sqrt{2\pi }}{{e}^{-\tfrac{1}{2}{{\left( \tfrac{\text{ln}(t)-{\mu }'}{{{\sigma' }}} \right)}^{2}}}}
  3 KB (375 words) - 23:47, 13 March 2023
• Perform Accelerated Life Testing Data Analysis with Stress Profiles
  |1||F||252 |1||F||280
  9 KB (1,128 words) - 18:55, 3 April 2017
• Reliability Data - Lloyd-Lipow Model
  {|border="1" align="center" style="border-collapse: collapse;" cellpadding="5" cellspac |1|| 33.35
  1 KB (182 words) - 21:17, 18 September 2023
• Gumbel Distribution Example
  ...mbel distribution with <math>\mu =\ln (\eta )\,\!</math> and <math>\sigma =1/\beta )\,\!</math>. & \hat{\sigma }= & 1.9717
  2 KB (320 words) - 21:45, 18 September 2023
• Repository.Xfmea.GetAllXfmeaEffectsDictionary Method
  MyRepository.Project.SetCurrentProject(1) Dict = MyRepository.Xfmea.GetAllXfmeaEffectsDictionary(1)
  1 KB (181 words) - 15:09, 3 August 2017
• Exponential Distribution for Grouped Data Example
  {| border="1" align="center" style="border-collapse: collapse;" cellpadding="5" cellspac |1 ||500
  6 KB (873 words) - 21:46, 18 September 2023
• Electronic Devices Example
  1) Using the T-NT Weibull model, analyze the data and determine the MTTF and 1. Analyze the data set in the ALTA standard folio and use the Quick Calculat
  2 KB (279 words) - 02:48, 16 August 2012
• Degradation Data Analysis with a Power Regression Model
  The data set is from Example 8.1 on page 336 in the book ''Life Cycle Reliability Engineering'' by Dr. Guang !1
  3 KB (318 words) - 16:22, 28 September 2015
• Norris-Landzberg-Exponential Model
  | 208||80||120||1 ...pha _{0}+\alpha _{1}ln\left ( \Delta T \right )+\alpha _{3}ln\left ( \frac{1}{T_{MAX}} \right )\\
  2 KB (299 words) - 18:21, 28 September 2015
• ALTAStressProfile.Clear
  {{APIPrefix|Call}} sp.AddSegment(1, 250) sp.AddSegment(1, 250)
  1 KB (125 words) - 22:05, 23 March 2017
• Change of Slope Analysis Example
  \text{7}\text{.8} & \text{99}\text{.2} & \text{151} & \text{260}\text{.1} & \text{342} & \text{430}\text{.2} \\ \text{17}\text{.6} & \text{99}\text{.6} & \text{163} & \text{273}\text{.1} & \text{350}\text{.2} & \text{445}\text{.7} \\
  6 KB (839 words) - 20:37, 18 September 2023
• Reliability Importance
  ...le component was improved. In other words, it was observed that Component 1 had the largest reliability importance in the system relative to the other ::<math>{{R}_{_{S}}}={{R}_{1}}\cdot {{R}_{2}}\cdot {{R}_{3}} \ \,\!</math>
  6 KB (890 words) - 20:59, 18 September 2023
• Cumulative Damage General Loglinear
  Given <math>n\,\!</math> time-varying stresses <math>\underline{X}=({{X}_{1}}(t),{{X}_{2}}(t)...{{X}_{n}}(t))\,\!</math>, the life-stress relationship ...}}\, \right)}=s(t,\overset{\_}{\mathop{x}}\,)={{e}^{-{{a}_{0}}-\underset{j=1}{\mathop{\overset{n}{\mathop{\mathop{\sum}_{}^{}}}\,}}\,{{a}_{j}}{{x}_{j}}(
  11 KB (1,678 words) - 22:39, 20 April 2023
• Language Enumeration
  | style="width: 150px;"|English||style="width: 70px;"|1
  424 bytes (45 words) - 21:03, 24 June 2016
• Time-Varying Stress Models
  [[Image:ALTA12.1.gif|center|550px|Step profile for a simple voltage stress test.]] ::<math>\eta(V)=\frac{1}{{{K}{V}}^\eta } \,\!</math>
  9 KB (1,418 words) - 22:02, 20 April 2023
• WeibullSolverRankMethod Enumeration
  |KaplanMeier||1||Kaplan-Meier estimator.
  383 bytes (39 words) - 15:18, 21 April 2016
• Repository.Xfmea.GetAllXfmeaFunctionsDictionary Method
  MyRepository.Project.SetCurrentProject(1) Dict = MyRepository.Xfmea.GetAllXfmeaFunctionsDictionary(1, {{APIPrefix|True)}}
  2 KB (190 words) - 15:09, 3 August 2017
• The Logistic Distribution
  f(t)=\tfrac{{{e}^{z}}}{\sigma {{(1+{{e}^{z}})}^{2}}} \\ \\ ::<math>R(t)=\frac{1}{1+{{e}^{z}}}\,\!</math>
  9 KB (1,425 words) - 00:59, 10 March 2023
• ReliaSoft's Alternate Ranking Method
  {|border="1" align="center" style="border-collapse: collapse;" cellpadding="5" cellspac |colspan="4" style="text-align:center"|Table B.1- The Test Data
  12 KB (1,506 words) - 21:47, 18 September 2023
• Parametric Binomial Example - Demonstrate Reliability
  ...We will assume a Weibull distribution with a shape parameter <math>\beta =1.5\,\!</math>. ::<math>\eta =\frac{{{t}_{DEMO}}}{{{(-\text{ln}({{R}_{DEMO}}))}^{\tfrac{1}{\beta }}}}\,\!</math>
  3 KB (470 words) - 18:30, 18 September 2023
• Crow Extended Model Fleet Analysis Example
  {|border="1" align="center" style="border-collapse: collapse;" cellpadding="5" cellspac |1|| 1137 BD1, 1268 BD2
  3 KB (373 words) - 20:54, 18 September 2023
• Crow Extended Confidence Bounds Example
  ...lambda }_{D}}(T)]}_{L}} = & {{\widehat{\lambda }}_{D}}(T)\frac{\chi _{(2N,1-\alpha /2)}^{2}}{2N} \\ \hat{\lambda_{p}} &= \frac{N_{i}}{T}+\sum_{i=1}^{M}(1-d_{i})\frac{N}{T}+\overline{d}\left(\frac{M}{T}\overline{\beta} \right )\\
  4 KB (487 words) - 21:29, 18 September 2023
• Repository.XFRACAS.ImportXFRACASXMLString
  {{APIComment|'Import the XML string into XFRACAS entity ID# 1.}} ImportXMLSystemID = MyRepository.XFRACAS.ImportXfracasXmlString(1, XFRACASImportType.Incident, xmlString, {{APIString|"XMLFileTitle"}}, {{API
  2 KB (188 words) - 17:00, 12 August 2016
• The Normal Distribution
  ::<math>f(t)=\frac{1}{\sigma \sqrt{2\pi }}{{e}^{-\frac{1}{2}{{\left( \frac{t-\mu }{\sigma } \right)}^{2}}}}\,\!</math> ...y }f(x)dx=\int_{t}^{\infty }\frac{1}{{{\sigma }}\sqrt{2\pi }}{{e}^{-\tfrac{1}{2}{{\left( \tfrac{x-\mu }{{{\sigma }}} \right)}^{2}}}}dx\,\!</math>
  7 KB (1,057 words) - 18:00, 10 March 2023
• CCorrectiveTask Class
  ...eEnum]]''', which specifies the effect of the restoration. Default value = 1 (restores all accumulated damage). ...cates an as bad as old condition. A values greater than zero but less than 1 indicates a partial restoration. '''Double'''.
  3 KB (375 words) - 17:31, 14 March 2019
• Discrete Reliability Growth Planning
  :<math>f=\lambda {{t}^{\beta }}-\lambda {{\left( t-1 \right)}^{\beta }}\,\!</math> :<math>{{f}_{GP}}={{f}_{A}}+\left( 1-d \right){{f}_{B}}\,\!</math>
  17 KB (2,630 words) - 16:46, 14 April 2017
• Example Demonstrating the State Upon Repair Option for SCT
  ===Case 1=== ...Change Trigger Example Case 1.png|center|450px| Behavior of system in Case 1]]
  3 KB (642 words) - 07:19, 9 August 2012
• Consequence Analysis
  ==Level 1== ...mited to single phase systems of the select representative fluids. A level 1 analysis is performed by ReliaSoft's RBI software. Area and financial conse
  3 KB (487 words) - 17:45, 22 April 2014
• Weibull Confidence Bounds
  ...=\frac{1}{\sqrt{2\pi }}\int_{K_{\alpha }}^{\infty }e^{-\frac{t^{2}}{2} }dt=1-\Phi (K_{\alpha }) \,\!</math> ...ha =\frac{1-\delta }{2} \,\!</math> for the two-sided bounds and <math>a = 1 - d\,\!</math> for the one-sided bounds. The variances and covariances of <
  15 KB (2,255 words) - 18:45, 21 March 2023
• CPool Class
  ...s the number of spares added per emergency. '''Integer'''. Default value = 1. ...ly when the UseFixedProbability property is set to true. Default value = 0.1.
  5 KB (732 words) - 21:23, 24 June 2016
• Exponential Parameter Estimation
  {{template:LDABOOK|7.1|Exponential Parameter Estimation}} F(t)=1-{{e}^{-\lambda (t-\gamma )}}
  12 KB (1,850 words) - 00:21, 9 March 2023
• ConfBoundsMethods Enumeration
  |LikelihoodRatio||1||Likelihood ratio
  407 bytes (46 words) - 21:38, 29 April 2016
• WeibullSolverMethod Enumeration
  |RRY||1||Rank regression on Y.
  393 bytes (45 words) - 15:02, 21 April 2016
• ALTASolverDistribution Enumeration
  |Exponential||1||Exponential distribution
  399 bytes (43 words) - 21:32, 20 April 2016
• Cumulative Damage Arrhenius
  ::<math>L(x(t))={{e}^{{{\alpha }_{0}}+{{\alpha }_{1}}\tfrac{1}{x(t)}}}\,\!</math> {{\alpha }_{1}}=\ & b
  10 KB (1,573 words) - 22:02, 20 April 2023
• Crow-AMSAA Model - Helicopter System Example
  {|border="1" align="center" style="border-collapse: collapse;" cellpadding="5" cellspac |1|| 0 - 62|| 12
  5 KB (713 words) - 21:28, 18 September 2023
• Logistic Confidence Bounds Example
  {{R}_{5}}= & \frac{1}{1+b{{e}^{-5k}}} \\
  2 KB (213 words) - 21:17, 18 September 2023
• Create Plots
  WDS.AddFailure(16, 1) WDS.AddFailure(34, 1)
  6 KB (858 words) - 19:01, 3 April 2017
• Bayesian-Weibull Lognormal Prior Example
  {| border="1" align="center" style="border-collapse: collapse;" cellpadding="5" cellspac | 1 || F || 1180
  3 KB (455 words) - 21:44, 18 September 2023
• Time-Dependent System Reliability for Components in Parallel
  ...math> through <math>E\,\!</math> are Weibull distributed with <math>\beta =1.2\,\!</math> and <math>\eta =1230\,\!</math> hours. The starting and endin ...blocks cannot fail, <math>{{R}_{Start}}=1\,\!</math> and <math>{{R}_{End}}=1,\,\!</math> the equation above can be reduced to:
  8 KB (1,296 words) - 20:57, 18 September 2023
• Cumulative Damage Exponential
  {{\alpha }_{1}}=\ & b ::<math>\frac{1}{m(t,x)}=s(t,x)=\frac{{{e}^{-bx(t)}}}{C}\,\!</math>
  10 KB (1,561 words) - 22:39, 20 April 2023
• Gap Analysis Example
  ...cessive <math>N=86\,\!</math> failure times that were reported for <math>T=1,000\,\!</math> hours of testing. <center><math>{{X}_{i}},\,\!</math> <math>i=1,2,\ldots ,86\,\!</math>, <math>N = 86, T = 1000\,\!</math></center>
  5 KB (640 words) - 20:38, 18 September 2023
• Expected Failure Times Plot Example
  & Q=1-{{e}^-{{{\left( \frac{t}{\eta } \right)}^{\beta }}}}\Rightarrow \\ & \ln (1-Q)={{\left( \frac{t}{\eta } \right)}^{\beta }} \\
  2 KB (233 words) - 18:55, 18 September 2023
• Failure Times - Duane Example
  {|border="1" align="center" style="border-collapse: collapse;" cellpadding="5" cellspac |1 ||80
  2 KB (222 words) - 21:16, 18 September 2023
• ALTASegment Class
  {{APIPrefix|Call}} SP.AddSegment(1, 250) SP.AddSegment(1, 250)
  2 KB (158 words) - 15:32, 23 March 2017
• BlockSim Example: Aircraft Phases with Forced Landing
  ...eliability of the landing gears follows a Weibull distribution with Beta = 1.5 and Eta = 15 hours. #At time 6.41 hours, in the Cruising phase, Engine 1 fails too. This failure brings the system down and the system goes into the
  4 KB (678 words) - 21:01, 18 September 2023
• Proportional Hazards Model
  ::<math>\underline{X}=({{x}_{1}},{{x}_{2}},...,{{x}_{m}})\,\!</math> ::<math>\underline{A}={{({{a}_{1}},{{a}_{2}},...{{a}_{m}})}^{T}}\,\!</math>
  10 KB (1,543 words) - 16:26, 29 October 2021
• Linearity and Bias Study Example
  {| style="text-align:center;" cellpadding="4" border="1" align="center" |1|| 2|| 1.95|| 3|| 6|| 6.04
  9 KB (1,149 words) - 21:07, 18 September 2023
• Sequential Data - Duane Example
  {|border="1" align="center" style="border-collapse: collapse;" cellpadding="5" cellspac |1|| F
  2 KB (232 words) - 21:22, 18 September 2023
• TaskRestorationTypeEnum Enumeration
  |All||1||Restores all accumulated damage.
  423 bytes (46 words) - 22:00, 24 June 2016
• XFRACASDiagnosticsEntryType Enumeration
  |style="width: 110px;"|Error||style="width: 70px;"|1||The diagnostic message pertains to an error.
  510 bytes (52 words) - 21:31, 13 November 2015
• Growth Plan for Four Phases
  *The growth potential design margin factor is <math>GPDM=1.35\,\!</math>. ...he average fix delay in terms of test hours for each phase is: <math>{{L}_{1}}=10000\,\!</math>, <math>{{L}_{2}}=15000,\,\!</math> <math>{{L}_{3}}=20000
  4 KB (712 words) - 20:53, 18 September 2023
• Competing Failure Modes
  The data set is from Table 15.1 on page 383 in the book ''Statistical Methods for Reliability Data'' by Dr. ...ey are defined by <math>\mu = ln(\eta)\,\!</math> and <math>\sigma = \frac{1}{\beta}\,\!</math>. The results are:
  3 KB (387 words) - 16:21, 28 September 2015
• Non-Parametric Life Data Analysis
  ...erset{i}{\mathop \prod }}\,\frac{{{n}_{j}}-{{r}_{j}}}{{{n}_{j}}},\text{ }i=1,...,m\,\!</math> ...{s}_{j}}-\underset{j=0}{\overset{i-1}{\mathop \sum }}\,{{r}_{j,}}\text{ }i=1,...,m\,\!</math>
  13 KB (1,520 words) - 17:15, 23 December 2015
• Continuous Reliability Growth Planning
  {{template:RGA BOOK|4.1|Continuous Reliability Growth Planning}} ...={{\lambda }_{A}}+(1-d){{\lambda }_{B}}+d\lambda \beta {{t}^{\left( \beta -1 \right)}}\text{ for }t\ge {{t}_{0}}\,\!</math>
  18 KB (2,977 words) - 21:42, 31 January 2017
• Randomization and Blocking in DOE
  ...or ''blocks'': runs that are carried out on the first day belong to block 1, and runs that are carried out on the second day belong to block 2. Thus, w ...could be as follows: one replicate of the experiment is assigned to block 1 and the second replicate is assigned to block 2 (now each block contains al
  19 KB (2,709 words) - 16:24, 10 August 2017
• TaskClassEnum Enumeration
  |Inspection||1||Inspection task.
  445 bytes (48 words) - 21:41, 24 June 2016
• Auto Transmission Example
  ...mileage. The + indicates the latest mileage observed without failure. Car 1, for example, had a repair at 7068 miles and was observed until 26,744 mile {|border="1" align="center" style="border-collapse: collapse;" cellpadding="5" cellspac
  2 KB (235 words) - 20:54, 18 September 2023
• 2P-Weibull Rank Regression
  Table 12.8 on page 419 in the book ''Reliability Engineering Handbook Vol 1'' by Dr. Kececioglu, Prentice-Hall, 1991. The least square estimator for <math>{\beta}\,\!</math> is 1.2 and for <math>{\eta}\,\!</math> is 146.2.
  635 bytes (78 words) - 16:12, 28 September 2015
• RawDataSetType Enumeration
  | style="width: 100px;"|Weibull||style="width: 70px;"|1||Life data for use in Weibull++.
  396 bytes (49 words) - 21:31, 13 November 2015
• ReliabilityPolicyType Enumeration
  | style="width: 150px;"|Define||style="width: 70px;"|1||Define at this level.
  471 bytes (59 words) - 21:57, 2 March 2018
• Standby Gate Example
  ::*Failure Distribution: Weibull; <math>\beta = 1.5\,\!</math>; <math>\eta = 1,000\,\!</math> hours. ...d failure distribution: Weibull; <math>\beta =1.5\,\!</math>; <math>\eta = 1,000\,\!</math> hours.
  2 KB (246 words) - 21:00, 18 September 2023
• Exponential Distribution Characteristics
  :*The scale parameter is <math>\tfrac{1}{\lambda }=\bar{T}-\gamma =m-\gamma \,\!</math>. :*The 1-parameter exponential reliability function starts at the value of 100% at <
  4 KB (547 words) - 21:41, 18 September 2023
• Add New Synthesis Resources to a Repository
  {{APIPrefix|Dim}} ModelParams(1) {{APIPrefix|As}} Double ModelParams(0) = 1
  6 KB (819 words) - 15:12, 3 August 2017
• Weibull Distribution Characteristics
  ...ms, such as the 2-parameter form where <math>\gamma = 0,\,\!</math> or the 1-parameter form where <math>\beta = C = \,\!</math> constant, can easily be ...to reduce to those of other distributions. For example, when <math>\beta = 1\,\!</math>, the <i>pdf</i> of the 3-parameter Weibull distribution reduces
  11 KB (1,700 words) - 21:44, 18 September 2023
• ActionTypeEnum Enumeration
  |Generic||1||A generic action record.
  431 bytes (53 words) - 21:33, 13 November 2015
• Mixed Weibull Distribution
  ...o a decreasing failure rate. The Weibull distribution having <math>\beta <1</math> is often used to depict this life characteristic. ...ential distribution and the Weibull distribution with <math>\beta \approx 1</math> .
  3 KB (425 words) - 17:09, 28 June 2011
• ACME Example
  {|border="1" align="center" style="border-collapse: collapse;" cellpadding="5" cellspac In ALTA, the confidence bounds on time are the Type 1 bounds (Time Bounds).
  1 KB (168 words) - 04:08, 15 August 2012
• The Gumbel/SEV Distribution
  ::<math>f(t)=\frac{1}{\sigma }{{e}^{z-{{e}^{z}}}}\,\!</math> ::<math>F(t)=1-{{e}^{-{{e}^{z}}}}\,\!</math>
  11 KB (1,538 words) - 17:12, 23 December 2015
• 1P-Exponential MLE Solution for Interval Data
  ...for the MLE solution, likelihood ratio bound and Fisher Matrix bound for a 1-parameter exponential distribution with interval data in Weibull++ standard Example 7.1 on page 154 in the book ''Statistical Methods for Reliability Data'' by Dr.
  2 KB (341 words) - 16:16, 28 September 2015
• The Mixed Weibull Distribution
  ...to a decreasing failure rate. The Weibull distribution having <math>\beta <1\,\!</math> is often used to depict this life characteristic. ...nential distribution and the Weibull distribution with <math>\beta \approx 1\,\!</math>.
  16 KB (2,352 words) - 18:12, 22 December 2015
• PriorityTypeEnum Enumeration
  |Low||1||Low priority
  409 bytes (50 words) - 21:11, 24 June 2016
• WeibullBayesianPriorDistribution Enumeration
  |Lognormal||1||Lognormal distribution.
  495 bytes (49 words) - 18:14, 24 June 2016
• Generalized Eyring Relationship
  ::<math>L(V,U)=\frac{1}{V}{{e}^{A+\tfrac{B}{V}+CU+D\tfrac{U}{V}}}\,\!</math> ...{A+\tfrac{B}{{{V}_{U}}}+C{{U}_{U}}+D\tfrac{{{U}_{U}}}{{{V}_{U}}}}}}{\tfrac{1}{{{V}_{A}}}{{e}^{A+\tfrac{B}{{{V}_{A}}}+C{{U}_{A}}+D\tfrac{{{U}_{A}}}{{{V}_
  13 KB (2,034 words) - 22:17, 25 January 2013
• Normal Distribution Examples
  :1. Find the parameters for the data set, using the Rank Regression on X (RRX) :2. Obtain the probability plot for the data with 90%, two-sided Type 1 confidence bounds.
  8 KB (996 words) - 21:45, 18 September 2023
• Cumulative Damage Model for Progress Stress Profiles
  | 10||1 | 100||1
  10 KB (1,120 words) - 18:23, 28 September 2015
• Grouped per Configuration - Lloyd-Lipow Model
  {|border="1" align="center" style="border-collapse: collapse;" cellpadding="5" cellspac |1|| 10|| 3
  2 KB (223 words) - 21:22, 18 September 2023
• Cumulative Damage Power
  {{template:ALTABOOK|10.1}} ::<math>L(x(t))={{e}^{{{\alpha }_{0}}+{{\alpha }_{1}}\ln \left( x(t) \right)}}\,\!</math>
  13 KB (2,072 words) - 22:00, 20 April 2023
• Simulation with RGA Models
  ...o follow a Weibull distribution. It is obtained by solving for <math>{{t}_{1}}\,\!</math> : :<math>R(t_1)=e^{(-\frac{t_1}{\eta})^\beta}= Uniform (0,1)\,\!</math>
  10 KB (1,542 words) - 20:20, 2 June 2014
• Life Comparison Examples
  This page presents two alternative methods for comparing two data sets: 1) using contour plots and 2) using the Life Comparison tool in Weibull++.
  401 bytes (55 words) - 18:54, 18 September 2023
• Appendix C: Benchmark Examples
  =Example 1= ==Published Results for Example 1==
  7 KB (772 words) - 19:18, 15 September 2023
• Optimal Test Plan for Two Stresses
  ::<math>ln(\eta)=\beta_{0}+\beta_{1} \times log(vpm) + \beta_{2} \frac{11605}{temp}\,\!</math> ...ath> &nbsp;, <math>\beta_{0} = 58.173\,\!</math>&nbsp;,&nbsp; <math>\beta_{1} = -12.28\,\!</math> &nbsp; and &nbsp; <math>\beta_{2} = 0.3878\,\!</math>
  6 KB (859 words) - 18:24, 28 September 2015
• Monte Carlo Simulation Example
  [[Image:WB.23 lda26.1.png|center|250px| ]] \text{2}\text{.0187} & \text{1}\text{.9795} & \text{30}\text{.4216} & \text{33}\text{.6573} \\
  4 KB (570 words) - 18:56, 18 September 2023
• ResetOptionEnum Enumeration
  |ResetAfterAnalysis||1||Reset after each set of runs.
  632 bytes (80 words) - 21:12, 24 June 2016
• ConfBoundsTypes Enumeration
  |TypeI||1||Displays the bounds on time.
  488 bytes (62 words) - 22:43, 20 April 2016
• Using R-DOE and ALTA to Estimate B10 Life
  ...!</math> and <math>D\,\!</math> are active at a significance level of 0.1. ...corresponds to a temperature of 333 <math>K\,\!</math> and the <math>+1\,\!</math> level corresponds to a temperature of 383 <math>K\,\!</math>.
  4 KB (647 words) - 21:07, 18 September 2023
• ProfileTypeEnum
  |Stress||1||A stress profile for use with the cumulative damage model in ALTA life-str
  475 bytes (60 words) - 16:18, 23 March 2017
• One Factor Comparison Design
  The data are from Example 11-1 on page 71 in the book ''Design and Analysis of Experiments'' by Douglas C !style="background:#f0f0f0;"|1
  2 KB (213 words) - 21:09, 18 September 2023
• Logistic Model - Missile Launch Test Example
  {|border="1" align="center" style="border-collapse: collapse;" cellpadding="5" cellspac |1|| F
  2 KB (283 words) - 21:23, 18 September 2023
• WeibullBayesianResultsOption Enumeration
  |Mean||1||Mean value of the posterior distribution.
  540 bytes (65 words) - 18:12, 24 June 2016
• ModelCategoryEnum Enumeration
  | style="width: 150px;"|Reliability||style="width: 70px;"|1||Reliability model
  579 bytes (68 words) - 21:32, 13 November 2015
• Weibull++ Equation Fit Solver Example
  {| border="1" align="center" style="border-collapse: collapse;" cellpadding="5" cellspac '''Step 1:''' Insert an Equation Fit Solver folio in your project and enter the given
  2 KB (257 words) - 07:55, 7 August 2012
• Duane Model
  {{template:RGA BOOK|3.1|Duane}} [[Image:rga4.1.png|center|450px|Cumulative MTBF vs. Cumulative Test Time postulated by Dua
  19 KB (2,892 words) - 19:07, 8 August 2018
• State Change Triggers
  ...that belongs to MG 1 and Block 1 is set to be turned ON or OFF based on MG 1, this trigger is ignored. ...Block 3 would have to be directly associated with downing events of Block 1 for this to happen. The reason for this restriction is that allowing OFF ev
  6 KB (1,075 words) - 21:33, 18 September 2023
• WeibullSolverCBMethod Enumeration
  |LikelihoodRatio||1||Likelihood ratio method.
  659 bytes (66 words) - 18:23, 24 June 2016
• Exponential Confidence Bounds
  ...qrt{2\pi }}\int_{{{K}_{\alpha }}}^{\infty }{{e}^{-\tfrac{{{t}^{2}}}{2}}}dt=1-\Phi ({{K}_{\alpha }})\,\!</math> ...tfrac{1-\delta }{2}\,\!</math> for the two-sided bounds, and <math>\alpha =1-\delta \,\!</math> for the one-sided bounds.
  14 KB (2,134 words) - 00:23, 9 March 2023
• Non-Parametric Binomial Test Design Example
  1-CL=R^{n} ...is less than or equal to 80%, the chance of passing this test is 1-CL = 0.1, which is the Type II error. Therefore, the non-parametric binomial equatio
  2 KB (266 words) - 18:55, 18 September 2023
• Eyring Relationship
  ::<math>L(V)=\frac{1}{V}{{e}^{-\left( A-\tfrac{B}{V} \right)}}\,\!</math> [[Image:ALTA7.1.png|center|400px|Graphical look at the Eyring relationship (linear scale),
  47 KB (7,369 words) - 21:07, 8 February 2017
• Variable Throughput Example
  ...h is the linear model <math>y = ax+ b\,\!</math> with parameters <math>a = 1\,\!</math> and <math>b = 0\,\!</math>). For the second phase, P2, the model ...h is the linear model <math>y = ax+ b\,\!</math> with parameters <math>a = 1\,\!</math> and <math>b = 0\,\!</math>). For the second phase, P2, the model
  15 KB (2,585 words) - 21:34, 18 September 2023
• Normal Distribution with MLE Solution
  ::<math>\Gamma ^{1} = \begin{bmatrix}
  719 bytes (83 words) - 16:19, 28 September 2015
• Normal Confidence Bounds
  ...qrt{2\pi }}\int_{{{K}_{\alpha }}}^{\infty }{{e}^{-\tfrac{{{t}^{2}}}{2}}}dt=1-\Phi ({{K}_{\alpha }})\,\!</math> ...\tfrac{1-\delta }{2}\,\!</math> for the two-sided bounds and <math>\alpha =1-\delta \,\!</math> for the one-sided bounds.
  21 KB (2,884 words) - 18:00, 10 March 2023
• Target Reliability Tool
  ''100,000'' x ''$12.00'' = ''$1,200,000.00 <center><math>{{f}_{Market\_Share}}(R)=1-{{e}^{-{{\left( \frac{R}{a} \right)}^{b}}}}\,\!</math></center>
  10 KB (1,551 words) - 19:12, 15 September 2023
• ConfBoundsSides Enumeration
  |TwoSidedBoth||1||Two-sided confidence bounds.
  636 bytes (71 words) - 23:38, 6 September 2016
• Repository.Project.SetCurrentProject
  MyRepository.Project.SetCurrentProject(1)
  810 bytes (90 words) - 15:29, 9 June 2016
• Bayesian-Weibull Analysis
  ...Weibull that is commonly referred to as such) offers an alternative to the 1-parameter Weibull, by including the variation and uncertainty that might ha ...square root of Fisher's information," yields <math> \varphi (\eta )=\dfrac{1}{\eta }\,\!</math>.
  12 KB (1,852 words) - 00:13, 9 March 2023
• Accelerated Life Test Plans
  1. The log-time-to-failure for each unit follows a location-scale distributio \mu =\mu ({{z}_{1}})={{\gamma }_{0}}+{{\gamma }_{1}}x
  16 KB (2,516 words) - 19:20, 15 September 2023
• Imperfect Repairs
  The restoration factor in BlockSim is defined as a number between 0 and 1 and has the following effect: ::#A restoration factor of 1 (100%) implies that the component is as good as new after repair, which in
  11 KB (1,690 words) - 21:33, 18 September 2023
• Parametric Recurrent Event Data Analysis
  ...}\,\!</math> represent the time between failures ( <math>{{t}_{i}}=\sum_{j=1}^{i}{{x}_{j}})\,\!</math>. Assume that after each event, actions are taken v_{i}=v_{i-1}+qx_{i}=qt_{i}
  15 KB (2,400 words) - 21:47, 18 September 2023
• Lognormal Distribution Characteristics
  ...arply like an exponential ''pdf'' or a Weibull ''pdf'' with <math>0<\beta <1\,\!</math>.
  2 KB (380 words) - 21:40, 18 September 2023
• Lognormal Parameter Estimation
  {{template:LDABOOK|10.1|The Lognormal Distribution}} ...>{{\Phi }^{-1}}\left[ F({t}') \right]=-\frac{{{\mu }'}}{{{\sigma}'}}+\frac{1}{{{\sigma }'}}\cdot {t}'\,\!</math>
  16 KB (2,169 words) - 23:46, 8 March 2023
• Example: Parametric RDA - Air Condition Unit
  1. Estimate the GRP model parameters using the Type I virtual age option. :1. The estimated parameters are <math>\hat{\beta }=1.1976\,\!</math>, <math>\hat{\lambda }=4.94E-03\,\!</math>, <math>\hat{q}=0.
  2 KB (274 words) - 18:52, 18 September 2023
• ALTASolverModel Enumeration
  |Eyring||1||Eyring model.
  760 bytes (92 words) - 22:34, 20 April 2016
• Warranty Data Analysis Times-to-Failure Format with Plot Example
  {| border="1" align="center" style="border-collapse: collapse;" cellpadding="5" cellspac {| | border="1" align="center" style="border-collapse: collapse;" cellpadding="5" cellspac
  3 KB (451 words) - 21:48, 26 September 2012
• Crow Extended - Continuous Evaluation Model Example
  {|border="1" align="center" style="border-collapse: collapse;" cellpadding="5" cellspac |F|| 25.3|| BD|| 3000|| || F|| 260.1|| BD|| 2000
  13 KB (1,817 words) - 21:31, 18 September 2023
• Generalized Eyring Example
  [[Image:406-1-2.png|center|800px|]]
  862 bytes (125 words) - 19:03, 18 September 2023
• Generalized Gamma Distribution Example
  ...generalized gamma offers a compromise between the Weibull <math>(\lambda =1),\,\!</math> and the lognormal <math>(\lambda =0)\,\!</math> distributions. & {{\lambda }_{u}}= & 1.20736
  2 KB (297 words) - 21:40, 18 September 2023
• CModel.MeanTime
  :Optional. Double. The duty cycle. Default value = 1.
  751 bytes (84 words) - 21:20, 13 November 2015
• ReviewOutcomeEnum Enumeration
  |Pending||1||The action is pending approval.
  686 bytes (88 words) - 20:09, 29 April 2016
• Standby Configuration Example
  ...For this, assume a constant rate for this occurrence with a probability of 1 every 50,000 miles. Assume a mission of 1,000 miles. If a tire fails during this trip, it will be replaced with the
  2 KB (332 words) - 20:58, 18 September 2023
• Comparing Life Data Sets
  ::<math>P\left[ {{t}_{2}}\ge {{t}_{1}} \right]=\int_{0}^{\infty }{{f}_{1}}(t)\cdot {{R}_{2}}(t)\cdot dt\,\!</math> where <math>{{f}_{1}}(t)\,\!</math> is the ''pdf '' of the first distribution and <math>{{R}_{
  4 KB (681 words) - 19:12, 15 September 2023
• Gompertz Models
  [[Image:rga7.1.png|center|450px]] The Gompertz model is mathematically given by Virene [[RGA_References|[1]]]:
  30 KB (4,428 words) - 16:56, 20 June 2014
• Target Reliability Tool Example
  ...0%, average unit sale price is $2.10, average cost per unit to produce is $1.50 and other costs per failure is $0.50. The assumed maximum market potential is 1,000,000 units and the initial investment is $10,000.
  2 KB (340 words) - 18:57, 18 September 2023
• Electronic Components Example
  1) Should the first failure at 406 K be included in the analysis? 1) Since the failure occurred at the very beginning of the test and for an un
  6 KB (935 words) - 08:04, 15 August 2012
• Highly Fractional Factorial Designs
  ...16, 32, etc. Therefore, the next design after the 2 <math>_{\text{III}}^{3-1}\,\!</math> design with 4 runs is the 2 <math>_{\text{III}}^{7-4}\,\!</math [[Image:doet8.1.png|center|487px|Highly fractional designs to investigate main effects.]]
  18 KB (2,906 words) - 22:51, 10 August 2017
• Competing Failure Modes Analysis
  ::<math>R(t)={{R}_{1}}(t)\cdot {{R}_{2}}(t)\cdot ...\cdot {{R}_{n}}(t)\,\!</math> ...stribution can be either the 2-parameter Weibull, lognormal, normal or the 1-parameter exponential.
  19 KB (2,734 words) - 21:33, 18 September 2023
• Appendix B: Parameter Estimation
  [[Image:ALTAB.1.png|center|600px]] [[Image:ALTAB.1.1.png|center|600px]]
  13 KB (1,951 words) - 19:19, 15 September 2023
• Non-Parametric Binomial Reliability Demonstration Test
  The data is from Example 1-7 on page 46 in the book ''Reliability & Life Testing Handbook Vol 2'' by D
  791 bytes (107 words) - 16:24, 28 September 2015
• Normal Parameter Estimation
  {{template:LDABOOK|9.1|Normal Parameter Estimation}} ::<math>{{\Phi }^{-1}}\left[ F(t) \right]=-\frac{\mu}{\sigma}+\frac{1}{\sigma}t\,\!</math>
  20 KB (2,808 words) - 17:56, 10 March 2023
• XFRACASImportType Enumeration
  |style="width: 170px;"|Incident||style="width: 70px;"|1||Imports incident data.
  956 bytes (111 words) - 23:08, 10 March 2016
• General Full Factorial Designs
  ...ct of the <math>i\,\!</math>th level of factor <math>A\,\!</math> (<math>i=1,2,...,{{n}_{a}}\,\!</math>) ...ct of the <math>j\,\!</math>th level of factor <math>B\,\!</math> (<math>j=1,2,...,{{n}_{b}}\,\!</math>)
  34 KB (4,794 words) - 16:23, 10 August 2017
• BlockSim Example: CM Triggered by Subsystem Down
  === Method 1: Without subdiagram === *The reliability of all blocks follows a Weibull distribution with Beta = 1.5 and Eta = 500 hours.
  6 KB (969 words) - 07:26, 6 August 2012
• BlockSim Example: Default ON unless SCT Overridden
  === Example 1 === *Both Block P and Block S have a Weibull distribution with Beta = 1.5 and Eta = 100 for reliability and repair action.
  5 KB (893 words) - 21:03, 18 September 2023
• RestockOnEnum Enumeration
  |Scheduled||1||The spare part pool is restocked at fixed intervals.
  643 bytes (86 words) - 21:21, 24 June 2016
• Temperature-NonThermal Relationship
  [[Image:ALTA10.1.png|400px|center|Life vs. Temperature (Arrhenius plot) at a fixed voltage l ...U}_{A}}}{{{U}_{u}}} \right)}^{n}}{{e}^{B\left( \tfrac{1}{{{V}_{u}}}-\tfrac{1}{{{V}_{A}}} \right)}}\,\!</math>
  49 KB (7,624 words) - 21:15, 8 February 2017
• Repository.XFRACAS.GetAllXFRACASEntities
  NumberofElements = UBound(ListofEntities) - LBound(ListofEntities) + 1
  1 KB (111 words) - 17:52, 30 November 2017
• Repository.Unit.GetAllUnits
  NumberofElements = UBound(ListofUnits) - LBound(ListofUnits) + 1
  979 bytes (110 words) - 18:55, 9 June 2016
• Inverse Power Law Relationship
  ::<math>L(V)=\frac{1}{K{{V}^{n}}}\,\!</math> [[Image:ALTA8.1.png|center|400px|The inverse power law relationship on linear scales at dif
  48 KB (7,397 words) - 22:03, 27 June 2023
• CScheduledTask Class
  ...een 0 and 100 indicates partial restoration. '''Double'''. Default value = 1. ...numeration, which specifies the effect of the restoration. Default value = 1 (restores all accumulated damage).
  10 KB (1,362 words) - 16:28, 28 May 2019
• WeibullDataSet.Question
  {{APIPrefix|Call}} wds.AddFailure(100, 1) wds.AddFailure(100, 1)
  3 KB (361 words) - 23:41, 6 September 2016
• Growth Plan for Seven Phases
  *The growth potential design margin factor is <math>GPDM=1.15\,\!</math>. ...conducted in seven phases. The cumulative phase end times are <math>{{T}_{1}}=4000,{{T}_{2}}=8000\,\!</math>, <math>{{T}_{3}}=12000,\,\!</math> <math>{
  4 KB (744 words) - 20:54, 18 September 2023
• Repository.Project.GetAllProjects
  NumberofElements = UBound(ListofProjects) - LBound(ListofProjects) + 1
  1,021 bytes (113 words) - 18:54, 9 June 2016
• Three Level Compromise Test Plan for One Stress
  ::<math>ln(\eta) = \beta_{0} + \beta_{1} \times \frac{11605}{T}\,\!</math> ...These planning values were obtained based on the following assumptions: 0.1% of the units will fail in 6 months (183 hours) at 50°C, and 90% will fail
  4 KB (686 words) - 18:24, 28 September 2015
• Statistical Background
  ...die are the possible outcomes. Accordingly, the sample space is <math>S=\{1,2,3,4,5,6\}\,\!</math>. #The complement of <math>A\,\!</math> is: <math>\overline{A}=\{1,2,5\}\,\!</math>.
  14 KB (2,318 words) - 18:56, 15 September 2023
• Fleet Data Analysis
  ...e. In this case, the <math>\beta \,\!</math> of the fleet will be equal to 1 and the Crow Extended model can be used for quantifying the effects of futu {|border="1" align="center" style="border-collapse: collapse;" cellpadding="5" cellspac
  16 KB (2,413 words) - 17:17, 20 June 2014
• Lognormal Confidence Bounds
  ...qrt{2\pi }}\int_{{{K}_{\alpha }}}^{\infty }{{e}^{-\tfrac{{{t}^{2}}}{2}}}dt=1-\Phi ({{K}_{\alpha }})\,\!</math> ...\tfrac{1-\delta }{2}\,\!</math> for the two-sided bounds and <math>\alpha =1-\delta \,\!</math> for the one-sided bounds.
  24 KB (3,178 words) - 00:29, 11 March 2023
• Life Data Classification
  ...s believed to be 70% effective, then the failure count can be reduced from 1 to 0.3 to reflect the effectiveness of the corrective action. {| border="1" align="center" style="border-collapse: collapse;" cellpadding="5" cellspac
  10 KB (1,656 words) - 00:54, 9 March 2023
• CModel.Reliability
  :Optional. Double. The duty cycle. Default value = 1.
  873 bytes (96 words) - 21:19, 13 November 2015
• Life Distributions
  ::<math>f(t)=\frac{1}{\sigma \sqrt{2\pi }}{e}^{-\frac{1}{2}(\frac{t-\mu}{\sigma})^2}\,\!</math> ::<math>\begin{align} R(t)= & 1-\int_{0}^{t}\lambda {{e}^{-\lambda s}}ds \\
  16 KB (2,457 words) - 21:49, 18 February 2013
• Temperature-Humidity Relationship
  [[Image:ALTA9.1.png|center|400px|Life vs. Temperature plot at a fixed relative humidity.]] ...{V}_{u}}}-\tfrac{1}{{{V}_{A}}} \right)+b\left( \tfrac{1}{{{U}_{u}}}-\tfrac{1}{{{U}_{A}}} \right)}}\,\!</math>
  52 KB (8,022 words) - 21:12, 8 February 2017
• WeibullSolverDistribution Enumeration
  |Normal||1||Normal distribution.
  900 bytes (98 words) - 18:52, 18 August 2016
• Repository.Task.GetAllTaskTypes
  NumberofElements = UBound(ListofTaskTypes) - LBound(ListofTaskTypes) + 1
  1 KB (120 words) - 21:40, 24 June 2016
• TaskMaintenanceTriggerEnum Enumeration
  |BlockFails||1||The task is performed when a block in the maintenance group fails.
  897 bytes (116 words) - 21:58, 24 June 2016
• ModelTypeEnum Enumeration
  | style="width: 230px;"|Weibull1*||style="width: 70px;"|100||1-parameter Weibull |Exponential1*||106||1-parameter Exponential
  5 KB (594 words) - 21:06, 24 June 2016
• CModel.FailureRate
  :Optional. Double. The duty cycle. Default value = 1.
  878 bytes (99 words) - 21:20, 13 November 2015
• Repository.Project.GetCurrentProject
  MyRepository.Project.SetCurrentProject(1)
  1 KB (120 words) - 17:30, 9 June 2016
• Additional Tools
  ...istribution of <math>T\,\!</math> is approximately chi-square with <math>n-1\,\!</math> degrees of freedom, where <math>n\,\!</math> is the number of te ::<math>T=2({{\hat{\Lambda }}_{1}}+...+{{\hat{\Lambda }}_{n}}-{{\hat{\Lambda }}_{0}})\,\!</math>
  11 KB (1,763 words) - 00:33, 16 March 2023
• ResourceFilterEnum Enumeration
  |GlobalOnly||1||Return global resources only.
  2 KB (158 words) - 15:28, 23 March 2017
• Weibull Distribution RRX Example
  1. What is the unreliability of the units for a mission duration of 30 hours, 1. First, we use Weibull++ to obtain the parameters using RRX.
  2 KB (379 words) - 21:46, 18 September 2023
• Arrhenius Relationship
  ...tzmann's constant <math>(8.6173303\times {{10}^{-5}}\text{eV}{{\text{K}}^{-1}})\,\!</math>. [[Image:ALTA6.1.png|center|400px|Graphical look at the Arrhenius life-stress relationship (
  55 KB (8,479 words) - 16:32, 29 October 2021
• Markov Diagrams
  ::<math>\sum_{i=1}^{n}X_{i}=1\,\!</math> ...the term <math>P_{12}\,\!</math> is the transition probability from state 1 to state 2, and for any row <math>m\,\!</math> with <math>i\,\!</math> stat
  14 KB (2,321 words) - 17:38, 17 October 2016
• CModel.Unreliability
  :Optional. Double. The duty cycle. Default value = 1.
  911 bytes (102 words) - 21:17, 13 November 2015
• Redundant Systems RBD
  :<math>R(t) = (1 + \lambda t)e^{-\lambda t} \,\!</math> :<math>R(5000) = (1 + (3.6 \times 10^{-5}) \times 5000)e^{-(3.6 \times 10^{-5}) \times 5000} =
  2 KB (350 words) - 17:52, 20 August 2015
• ALTADataSet Class 10
  ...set. '''String'''. If no name has been specified, the default name is "Set 1." ...ter is an integer that specifies the stress index, where 0 = first stress, 1 = second stress, etc. This property applies to the general log-linear (GLL)
  4 KB (452 words) - 17:47, 5 May 2017
• CModel.Pdf
  :Optional. Double. The duty cycle. Default value = 1.
  878 bytes (104 words) - 21:19, 13 November 2015
• ALTADataSet Class
  ...set. '''String'''. If no name has been specified, the default name is "Set 1." ...ter is an integer that specifies the stress index, where 0 = first stress, 1 = second stress, etc. This property applies to the general log-linear (GLL)
  4 KB (454 words) - 17:11, 12 March 2019
• Same Example Modeled with RBDs or Fault Trees
  #Determine the reliability of the component after 1 year (8,760 hours). #Rank the modes in order of importance at 1 year.
  13 KB (2,044 words) - 21:00, 18 September 2023
• Optimal Custom Designs
  :<math>y={{\beta }_{0}}+{{\beta }_{1}}{{x}_{1}}+\cdot \cdot \cdot +{{\beta }_{p}}{{x}_{p}}+\varepsilon \,\!</math> • <math>{{x}_{1}}\,\!</math>, …, <math>{{x}_{p}}\,\!</math> are the factors
  11 KB (1,651 words) - 22:52, 10 August 2017
• CModel.Time
  :Optional. Double. The duty cycle. Default value = 1.
  1,023 bytes (117 words) - 21:17, 13 November 2015
• Two Level Fractional Factorial Designs
  {{Template:Doebook|8.1}} ...umn for <math>ABC\,\!</math> has entries of 1). The resulting <math>{2}^{3-1}\,\!</math> design has a design matrix as shown in figure (b) below.
  27 KB (4,200 words) - 23:58, 16 March 2023
• Concurrent Operating Times - Crow-AMSAA (NHPP) Example
  {|width="350" border="1" align="center" style="border-collapse: collapse;" cellpadding="5" cellspac |System #|| 1|| 2|| 3|| 4|| 5|| 6
  4 KB (403 words) - 21:29, 18 September 2023
• Brief Statistical Background
  ...ake on one of only two values (let's say defective = 0 and non-defective = 1). In this case, the variable is said to be a discrete random variable. ...of <math>x\,\!</math>. The total area under the ''pdf'' is always equal to 1, or mathematically:
  11 KB (1,792 words) - 18:39, 18 September 2023
• BlockDataType Enumeration
  |Node||1||Node block
  1 KB (128 words) - 23:27, 6 September 2016
• Event Log Data
  ::<math>\text{Time-to-Failure}_{i}=t_{i}-r_{i-1}\,\!</math> :::* <math>i=1,...n\,\!</math>
  17 KB (2,827 words) - 19:15, 15 September 2023
• TaskFrequencyEnum Enumeration
  |ItemAge||style="width:70px"|1||Fixed time frame based on item's age.
  956 bytes (118 words) - 21:31, 13 November 2015
• WAPlotType Enumeration
  |Reliability||1||Reliability vs. time plot.
  1 KB (128 words) - 22:54, 20 April 2016
• Operational Mission Profile Testing
  ...duct a specific task a fixed number times for each hour of operation (task 1). ...can mask a major reliability problem. In other cases during testing, tasks 1, 2 and 3 might never meet their stated averages, except perhaps at the end
  15 KB (2,102 words) - 18:25, 1 December 2015
• XfmeaEffect Class
  |SubSev(1-8)Init||Gets or sets the initial sub-severity rating. There are a total of |SubSev(1-8)Rev||Gets or sets the revised sub-severity rating. There are a total of e
  4 KB (559 words) - 17:14, 12 March 2019
• One Factor Designs
  [[Image:doet6.1.png|center|410px|Surface finish values for three speeds of a lathe machine. ...icates at each level then <math>i=1,2,...,{{n}_{a}}\,\!</math> and <math>j=1,2,...,m\,\!</math>. The random error terms, <math>{{\epsilon }_{ij}}\,\!</m
  35 KB (5,064 words) - 00:07, 29 August 2017
• Grouped Data Parameter Estimation
  \end{matrix} \right){{Z}^{k}}{{\left( 1-Z \right)}^{N-k}}\,\!</math> \end{matrix} \right){{Z}^{k}}{{\left( 1-Z \right)}^{N-k}}\,\!</math>
  4 KB (688 words) - 21:45, 18 September 2023
• Gamma Distribution Example
  {| border="1" align="center" style="border-collapse: collapse;" cellpadding="5" cellspac
  1 KB (126 words) - 21:38, 18 September 2023
• Rayleigh Distribution with MLE Solution
  This example validates the results for a Rayleigh distribution (1-parameter Weibull with beta = 2) in Weibull++ standard folios.
  1 KB (145 words) - 16:14, 28 September 2015
• Logistic Model Examples
  ===Example 1: Reliability Data===
  893 bytes (105 words) - 20:36, 18 September 2023
• Concurrent Operating Times - Crow Extended Example
  {|border="1" align="center" style="border-collapse: collapse;" cellpadding="5" cellspac !System 1
  4 KB (553 words) - 20:53, 18 September 2023
• Repository.Action.GetAllActionsDictionary
  MyRepository.Project.SetCurrentProject(1)
  1 KB (157 words) - 15:08, 3 August 2017
• Repository.Control.GetAllXfmeaControlsDictionary
  MyRepository.Project.SetCurrentProject(1)
  1 KB (157 words) - 15:08, 3 August 2017
• Distributions Used in Accelerated Testing
  ...ributions. Note that although all forms are mentioned below, ALTA uses the 1-parameter form of the exponential distribution and the 2-parameter form of
  1 KB (162 words) - 21:39, 18 September 2023
• RawDataSet Class
  ...ies whether the data set is for use with Weibull++ or RGA. Default value = 1 (use with Weibull++).
  1 KB (156 words) - 22:21, 29 April 2016
• RGA Data Types
  ...number of failures are found after Y hours of test time. Failures <math>X_{1}\,\!</math>, <math>X_{2}\,\!</math>, <math>X_{3}\,\!</math>, etc. could hav ...s, and corrective action is again implemented on both units; however, unit 1 has accumulated 5 hours of operating time and unit 2 has accumulated 7 hour
  17 KB (2,723 words) - 21:58, 2 June 2014
• CScheduledTask.GetTeams Method
  MyRepository.Project.SetCurrentProject(1)
  1 KB (144 words) - 18:27, 14 March 2019
• Loglogistic Distribution Example
  \text{1} & \text{105} & \text{106} \\
  1 KB (169 words) - 21:39, 18 September 2023
• Repository.Xfmea.GetAllItemsInSystemHierarchyDictionary Method
  MyRepository.Project.SetCurrentProject(1)
  1 KB (161 words) - 15:09, 3 August 2017
• Crow-AMSAA Model Examples
  ===Example 1===
  1,011 bytes (115 words) - 20:35, 18 September 2023
• CCorrectiveTask.GetTeams Method
  MyRepository.Project.SetCurrentProject(1)
  1 KB (145 words) - 18:26, 14 March 2019
• Cumulative Damage Model for Step Stress Profiles
  The data set is from Table 2.1 on page 496 in the book ''Accelerated Testing: Statistical Models, Test Pla ...age (Kilovolts) and the insulation thickness given on page 495 and Table 2.1. For all the stress profiles, the holding time for the first 4 steps is 10
  13 KB (1,821 words) - 18:22, 28 September 2015
• Edit Existing Synthesis Resources/VBA
  MyRepository.Project.SetCurrentProject(1){{APIComment|'Replace with the object ID of test project.}}
  1 KB (142 words) - 18:16, 3 April 2017
• CVariable Class
  ...lation or be reset to its initial value at specific times. Default value = 1 (reset after each set of runs).
  1 KB (178 words) - 17:46, 12 March 2019
• Two Level Optimum Test Plan for One Stress
  ::<math>ln(\eta) = \beta_{0} + \beta_{1} \times \frac{11605}{T}\,\!</math> ...These planning values were obtained based on the following assumptions: 0.1% of the units will fail in 6 months (183 hours) at 50°C, and 90% will fail
  3 KB (471 words) - 18:23, 28 September 2015
• Edit Existing Synthesis Resources
  MyRepository.Project.SetCurrentProject(1){{APIComment|'Replace with the object ID of test project.}} ...pository1.rsr11" exists in the C drive and that we're accessing project ID#1. If you're copying this section of code, be sure to replace the inputs with
  6 KB (800 words) - 18:15, 3 April 2017
• Weibull Parameter Estimation
  {{template:LDABOOK|8.1|Weibull Parameter Estimation}} {| border="1" align="center" style="border-collapse: collapse;" cellpadding="5" cellspac
  23 KB (3,505 words) - 16:31, 3 July 2023