User contributions for Lisa Hacker

22:0222:02, 20 April 2023 diff hist 0‎ Cumulative Damage Arrhenius ‎No edit summary current
22:0222:02, 20 April 2023 diff hist −45,694‎ Time-Varying Stress Models ‎No edit summary current
22:0022:00, 20 April 2023 diff hist +13,803‎ N Cumulative Damage Power ‎ Created page with "{{template:ALTABOOK|10.1}} =Cumulative Damage Power Relationship= This section presents a generalized formulation of the cumulative damage model where stress can be any function of time and the life-stress relationship is based on the power relationship. Given a time-varying stress <math>x(t)\,\!</math> and assuming the power law relationship, the life-stress relationship is given by: ::<math>L(x(t))={{\left( \frac{a}{x(t)} \right)}^{n}}\,\!</math> In ALTA, the above..." current
21:5921:59, 20 April 2023 diff hist +45,779‎ m Time-Varying Stress Models ‎ Reverted edits by Lisa Hacker (talk) to last revision by Sharon Honecker Tag: Rollback
21:5721:57, 20 April 2023 diff hist −13,776‎ Time-Varying Stress Models ‎No edit summary Tag: Reverted
21:4621:46, 20 April 2023 diff hist +244‎ Time-Varying Stress Models ‎No edit summary Tag: Reverted
21:4421:44, 20 April 2023 diff hist +41‎ Accelerated Life Testing Data Analysis Reference ‎No edit summary
21:4321:43, 20 April 2023 diff hist −32,247‎ Time-Varying Stress Models ‎No edit summary Tag: Reverted
21:4221:42, 20 April 2023 diff hist +11,628‎ N Cumulative Damage General Loglinear ‎ Created page with "{{template:ALTABOOK|10.3}} =Cumulative Damage General Log-Linear Relationship= This section presents a generalized formulation of the cumulative damage model where multiple stress types are used in the analysis and where the stresses can be any function of time. ==Cumulative Damage General Log-Linear - Exponential== Given <math>n\,\!</math> time-varying stresses <math>\underline{X}=({{X}_{1}}(t),{{X}_{2}}(t)...{{X}_{n}}(t))\,\!</math>, the life-stress relationship is:..."
21:4121:41, 20 April 2023 diff hist +10,327‎ N Cumulative Damage Exponential ‎ Created page with "{{template:ALTABOOK|10.2}} =Cumulative Damage Exponential Relationship= This section presents a generalized formulation of the cumulative damage model where stress can be any function of time and the life-stress relationship is based on the exponential relationship. Given a time-varying stress <math>x(t)\,\!</math> and assuming the exponential relationship, the life-stress relationship is given by: ::<math>\begin{align} L(x(t))=C{{e}^{bx(t)}} \end{align}\,\!</math>..."
21:4021:40, 20 April 2023 diff hist +68‎ Accelerated Life Testing Data Analysis Reference ‎No edit summary
21:3821:38, 20 April 2023 diff hist +10,369‎ N Cumulative Damage Arrhenius ‎ Created page with "{{template:ALTABOOK|10.1}} =Cumulative Damage Arrhenius Relationship= This section presents a generalized formulation of the cumulative damage model where stress can be any function of time and the life-stress relationship is based on the Arrhenius life-stress relationship. Given a time-varying stress <math>x(t)\,\!</math> and assuming the Arrhenius relationship, the life-stress relationship is given by: ::<math>L(x(t))=C{{e}^{\tfrac{b}{x(t)}}}\,\!</math> In ALTA, the..."

23:5823:58, 16 March 2023 diff hist −27,449‎ Two Level Factorial Experiments ‎No edit summary current
23:5823:58, 16 March 2023 diff hist +27,472‎ N Two Level Fractional Factorial Designs ‎ Created page with "{{Template:Doebook|8.1}} ==Two Level Fractional Factorial Designs== As the number of factors in a two level factorial design increases, the number of runs for even a single replicate of the <math>{2}^{k}\,\!</math> design becomes very large. For example, a single replicate of an eight factor two level experiment would require 256 runs. Fractional factorial designs can be used in these cases to draw out valuable conclusions from fewer runs. The basis of fractional factor..." current
00:3300:33, 16 March 2023 diff hist −67‎ Additional Tools ‎ →‎Estimating P\left[ {{t}_{2}}\ge {{t}_{1}} \right]\,\! Using the Life Comparison Wizard current

22:5322:53, 10 March 2023 diff hist +7‎ Template:Doebook ‎No edit summary
22:4722:47, 10 March 2023 diff hist +7‎ Template:ALTABOOK ‎No edit summary
18:5218:52, 10 March 2023 diff hist +7‎ Template:Bsbook ‎No edit summary
18:4818:48, 10 March 2023 diff hist −50,720‎ Repairable Systems Analysis Through Simulation ‎No edit summary current
18:4818:48, 10 March 2023 diff hist +27,762‎ N Using Maintenance Tasks ‎ Created page with "{{Template:bsbook|7.3}} {{TU}} =Using Maintenance Tasks= One of the most important benefits of simulation is the ability to define how and when actions are performed. In our case, the actions of interest are part repairs/replacements. This is accomplished in BlockSim through the use of maintenance tasks. Specifically, four different types of tasks can be defined for maintenance actions: corrective maintenance, preventive maintenance, on condition maintenance and inspe..." current
18:4518:45, 10 March 2023 diff hist +82‎ System Analysis Reference ‎No edit summary
18:4318:43, 10 March 2023 diff hist +22,835‎ N Using Pools and Crews ‎ Created page with "{{Template:bsbook|7.2}} {{TU}} =Using Resources: Pools and Crews= In order to make the analysis more realistic, one may wish to consider additional sources of delay times in the analysis or study the effect of limited resources. In the prior examples, we used a repair distribution to identify how long it takes to restore a component. The factors that one chooses to consider in this time may include the time it takes to do the repair and/or the time it takes to get a cr..." current
18:2218:22, 10 March 2023 diff hist −7‎ Appendix: Maximum Likelihood Estimation Example ‎ →‎Illustrating the MLE Method Using Normal Distribution
18:2118:21, 10 March 2023 diff hist −11‎ Appendix: Maximum Likelihood Estimation Example ‎ →‎Illustrating the MLE Method Using the Exponential Distribution
18:0118:01, 10 March 2023 diff hist +66‎ Life Data Analysis Reference Book ‎No edit summary
18:0018:00, 10 March 2023 diff hist −41,264‎ The Normal Distribution ‎No edit summary current
18:0018:00, 10 March 2023 diff hist +21,108‎ N Normal Confidence Bounds ‎ Created page with "{{template:LDABOOK|9.2|Normal Confidence Bounds}} ==Confidence Bounds== The method used by the application in estimating the different types of confidence bounds for normally distributed data is presented in this section. The complete derivations were presented in detail (for a general function) in Confidence Bounds. ===Exact Confidence Bounds=== There are closed-form solutions for exact confidence bounds for both the normal and lognormal distributions. However thes..." current
17:5617:56, 10 March 2023 diff hist +20,259‎ N Normal Parameter Estimation ‎ Created page with "{{template:LDABOOK|9.1|Normal Parameter Estimation}} ==Estimation of the Parameters== ===Probability Plotting=== As described before, probability plotting involves plotting the failure times and associated unreliability estimates on specially constructed probability plotting paper. The form of this paper is based on a linearization of the ''cdf'' of the specific distribution. For the normal distribution, the cumulative density function can be written as: ::<math>F(t)=\..." current
17:4817:48, 10 March 2023 diff hist +20‎ Lognormal Confidence Bounds ‎ →‎Example: Bayesian Bounds
17:3417:34, 10 March 2023 diff hist −7‎ Lognormal Confidence Bounds ‎ Undo revision 65646 by Lisa Hacker (talk) Tag: Undo
17:3117:31, 10 March 2023 diff hist +1‎ Lognormal Confidence Bounds ‎ →‎Bounds on Time(Type 1)
01:1401:14, 10 March 2023 diff hist +33‎ m Parameter Estimation ‎ Reverted edits by Lisa Hacker (talk) to last revision by M Spivey current Tag: Rollback
01:1201:12, 10 March 2023 diff hist −33‎ Parameter Estimation ‎No edit summary Tag: Reverted
01:0301:03, 10 March 2023 diff hist +34‎ Life Data Analysis Reference Book ‎No edit summary
00:5900:59, 10 March 2023 diff hist −4,922‎ The Logistic Distribution ‎No edit summary current
00:5900:59, 10 March 2023 diff hist +4,968‎ N Logistic Confidence Bounds ‎ Created page with "{{template:LDABOOK|14.1|Logistic Confidence Bounds}} ==Confidence Bounds== In this section, we present the methods used in the application to estimate the different types of confidence bounds for logistically distributed data. The complete derivations were presented in detail (for a general function) in Confidence Bounds. ===Bounds on the Parameters=== The lower and upper bounds on the location parameter <math>\widehat{\mu }\,\!</math> are estimated from : ::<math..." current
00:5200:52, 10 March 2023 diff hist +7‎ The Logistic Distribution ‎No edit summary
00:4800:48, 10 March 2023 diff hist +23‎ The Logistic Distribution ‎ →‎Logistic Probability Density Function
00:4700:47, 10 March 2023 diff hist −25‎ The Logistic Distribution ‎No edit summary
00:4000:40, 10 March 2023 diff hist −164‎ Logistic Distribution Example ‎No edit summary
00:3600:36, 10 March 2023 diff hist +7‎ Logistic Distribution Example ‎No edit summary
00:2900:29, 10 March 2023 diff hist −157‎ Complex Failure Modes Example ‎No edit summary
00:2400:24, 10 March 2023 diff hist +48‎ Competing Failure Modes Analysis ‎ →‎CFM Example
00:1900:19, 10 March 2023 diff hist −370‎ Competing Failure Modes Analysis ‎ →‎CFM Example

01:0201:02, 9 March 2023 diff hist +1‎ Gamma Distribution Example ‎No edit summary
01:0101:01, 9 March 2023 diff hist −101‎ Gamma Distribution Example ‎No edit summary
00:5400:54, 9 March 2023 diff hist −1‎ Life Data Classification ‎ →‎Fractional Failures current
00:5300:53, 9 March 2023 diff hist +216‎ Life Data Classification ‎ →‎Fractional Failures
00:5200:52, 9 March 2023 diff hist +202‎ Life Data Classification ‎ →‎Fractional Failures
00:3500:35, 9 March 2023 diff hist +7‎ Life Data Classification ‎ →‎Fractional Failures
00:2900:29, 9 March 2023 diff hist −72‎ The Weibull Distribution ‎No edit summary Tags: Manual revert Reverted
00:2700:27, 9 March 2023 diff hist +72‎ The Weibull Distribution ‎No edit summary Tag: Reverted
00:2600:26, 9 March 2023 diff hist +1‎ Life Data Analysis Reference Book ‎No edit summary
00:2300:23, 9 March 2023 diff hist −27,135‎ The Exponential Distribution ‎No edit summary current
00:2300:23, 9 March 2023 diff hist +14,796‎ N Exponential Confidence Bounds ‎ Created page with "{{template:LDABOOK|7.2|Exponential Confidence Bounds}} ==Confidence Bounds== In this section, we present the methods used in the application to estimate the different types of confidence bounds for exponentially distributed data. The complete derivations were presented in detail (for a general function) in the chapter for Confidence Bounds. At this time we should point out that exact confidence bounds for the exponential distribution have been derived, and exist in a..." current
00:2100:21, 9 March 2023 diff hist +12,452‎ N Exponential Parameter Estimation ‎ Created page with "{{template:LDABOOK|7.1|Exponential Parameter Estimation}} ==Estimation of the Exponential Parameters== ===Probability Plotting=== Estimation of the parameters for the exponential distribution via probability plotting is very similar to the process used when dealing with the Weibull distribution. Recall, however, that the appearance of the probability plotting paper and the methods by which the parameters are estimated vary from distribution to distribution, so there will..." current
00:1300:13, 9 March 2023 diff hist +5‎ Bayesian-Weibull Analysis ‎No edit summary current
00:0800:08, 9 March 2023 diff hist +135‎ Life Data Analysis Reference Book ‎No edit summary
00:0600:06, 9 March 2023 diff hist −150‎ Bayesian-Weibull Analysis ‎No edit summary
00:0300:03, 9 March 2023 diff hist −38,627‎ The Weibull Distribution ‎ Replaced content with "{{template:LDABOOK|8|The Weibull Distribution}} The Weibull distribution is one of the most widely used lifetime distributions in reliability engineering. It is a versatile distribution that can take on the characteristics of other types of distributions, based on the value of the shape parameter, <math> {\beta} \,\!</math>. This chapter provides a brief background on the Weibull distribution, presents and derives most of the applicable equations and presents example..." Tag: Replaced
00:0200:02, 9 March 2023 diff hist +14,856‎ N Weibull Confidence Bounds ‎ Created page with "{{template:LDABOOK|8.2|Weibull Confidence Bounds}} == Fisher Matrix Confidence Bounds == One of the methods used by the application in estimating the different types of confidence bounds for Weibull data, the Fisher matrix method, is presented in this section. The complete derivations were presented in detail (for a general function) in Confidence Bounds. === Bounds on the Parameters === One of the properties of maximum likelihood estimators is that they are asymp..."
00:0000:00, 9 March 2023 diff hist +23,739‎ N Weibull Parameter Estimation ‎ Created page with "{{template:LDABOOK|8.1|Weibull Parameter Estimation}} == Estimation of the Weibull Parameters == The estimates of the parameters of the Weibull distribution can be found graphically via probability plotting paper, or analytically, using either least squares (rank regression) or maximum likelihood estimation (MLE). === Probability Plotting === One method of calculating the parameters of the Weibull distribution is by using probability plotting. To better illustrate this..."

23:5323:53, 8 March 2023 diff hist +7‎ Lognormal Confidence Bounds ‎ →‎Bounds on Time (Type 1) Tag: Reverted
23:5023:50, 8 March 2023 diff hist +13‎ Life Data Analysis Reference Book ‎No edit summary
23:4923:49, 8 March 2023 diff hist +59‎ Life Data Analysis Reference Book ‎No edit summary
23:4823:48, 8 March 2023 diff hist +38‎ Life Data Analysis Reference Book ‎No edit summary
23:4723:47, 8 March 2023 diff hist +53‎ Lognormal Confidence Bounds ‎No edit summary
23:4623:46, 8 March 2023 diff hist +53‎ Lognormal Parameter Estimation ‎No edit summary current
23:4423:44, 8 March 2023 diff hist −40,892‎ The Lognormal Distribution ‎ Replaced content with "{{template:LDABOOK|10|The Lognormal Distribution}} The lognormal distribution is commonly used to model the lives of units whose failure modes are of a fatigue-stress nature. Since this includes most, if not all, mechanical systems, the lognormal distribution can have widespread application. Consequently, the lognormal distribution is a good companion to the Weibull distribution when attempting to model these types of units. As may be surmised by the name, the logno..." Tag: Replaced
23:4423:44, 8 March 2023 diff hist +24,512‎ N Lognormal Confidence Bounds ‎ Created page with " ==Confidence Bounds== The method used by the application in estimating the different types of confidence bounds for lognormally distributed data is presented in this section. Note that there are closed-form solutions for both the normal and lognormal reliability that can be obtained without the use of the Fisher information matrix. However, these closed-form solutions only apply to complete data. To achieve consistent application across all possible data types, Weibull+..."
23:4223:42, 8 March 2023 diff hist +16,303‎ N Lognormal Parameter Estimation ‎ Created page with "==Estimation of the Parameters== ===Probability Plotting=== As described before, probability plotting involves plotting the failure times and associated unreliability estimates on specially constructed probability plotting paper. The form of this paper is based on a linearization of the ''cdf'' of the specific distribution. For the lognormal distribution, the cumulative density function can be written as: ::<math>F({t}')=\Phi \left( \frac{{t}'-{\mu }'}{{{\sigma'}}} \ri..."
00:0700:07, 8 March 2023 diff hist +2,094‎ m The Weibull Distribution ‎ Reverted edits by Lisa Hacker (talk) to last revision by M Spivey Tag: Rollback
00:0100:01, 8 March 2023 diff hist −2,094‎ The Weibull Distribution ‎No edit summary Tag: Reverted

23:5323:53, 7 March 2023 diff hist +38,628‎ The Weibull Distribution ‎No edit summary Tag: Reverted
23:5123:51, 7 March 2023 diff hist +94‎ The Weibull Distribution ‎No edit summary Tag: Reverted
23:5023:50, 7 March 2023 diff hist −93‎ The Weibull Distribution ‎No edit summary Tag: Reverted
23:5023:50, 7 March 2023 diff hist +164‎ The Weibull Distribution ‎No edit summary Tag: Reverted
23:4923:49, 7 March 2023 diff hist +1,070‎ The Weibull Distribution ‎No edit summary Tag: Reverted
23:4923:49, 7 March 2023 diff hist −39,863‎ The Weibull Distribution ‎ Replaced content with "{{template:LDABOOK|8|The Weibull Distribution}} The Weibull distribution is one of the most widely used lifetime distributions in reliability engineering. It is a versatile distribution that can take on the characteristics of other types of distributions, based on the value of the shape parameter, <math> {\beta} \,\!</math>. This chapter provides a brief background on the Weibull distribution, presents and derives most of the applicable equations and presents example..." Tags: Replaced Reverted
22:0522:05, 7 March 2023 diff hist +7‎ Template:LDABOOK ‎No edit summary

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