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• 16:22, 7 June 2012 Lisa Hacker talk contribs deleted page Generalized Gamma Reliability Function (content was: 'The reliability function for the generalized gamma distribution is given by: <math></math> ::<math>R(t)=\left\{ \begin{array}{*{35}{l}} 1-{{\Gamma }…' (and the only contributor was 'Steve Sharp'))
• 16:21, 7 June 2012 Lisa Hacker talk contribs deleted page Generalized Gamma Failure Rate Function (content was: 'As defined in Chapter 3, the failure rate function is given by: ::<math>\lambda (t)=\frac{f(t)}{R(t)}</math> Owing to the complexity of the equations i…' (and the only contributor was 'Steve Sharp'))
• 16:21, 7 June 2012 Lisa Hacker talk contribs deleted page Generalized Gamma Reliable Life (content was: 'The reliable life, <math>{{T}_{R}}</math> , of a unit for a specified reliability, starting the mission at age zero, is given by: ::<math>{{T}_{R}}=\le…' (and the only contributor was 'Steve Sharp'))
• 16:21, 7 June 2012 Lisa Hacker talk contribs deleted page Gamma Probability Density Function (content was: 'The <math>pdf</math> of the gamma distribution is given by: ::<math>f(T)=\frac{{{e}^{kz-{{e}^{z}}}}}{t\Gamma (k)}</math> where: ::<math>z=\ln (t)-\…' (and the only contributor was 'Steve Sharp'))
• 16:20, 7 June 2012 Lisa Hacker talk contribs deleted page The Gamma Mean, Median and Mode (content was: 'The gamma mean or MTTF is: ::<math>\overline{T}=k{{e}^{\mu }}</math> The mode exists if <math>k>1</math> and is given by: ::<math>\tilde{T}=(k-1){…' (and the only contributor was 'Steve Sharp'))
• 16:20, 7 June 2012 Lisa Hacker talk contribs deleted page The Gamma Standard Deviation (content was: 'The standard deviation for the gamma distribution is: ::<math>{{\sigma }_{T}}=\sqrt{k}{{e}^{\mu }}</math>' (and the only contributor was 'Steve Sharp'))
• 16:20, 7 June 2012 Lisa Hacker talk contribs deleted page Newererer Confidence Bounds (content was: 'The only method available in Weibull++ for confidence bounds for the generalized gamma distribution is the Fisher matrix, which is described next. ====Bo…' (and the only contributor was 'Steve Sharp'))
• 16:20, 7 June 2012 Lisa Hacker talk contribs deleted page The Gamma Reliable Life (content was: 'The gamma reliable life is: ::<math>{{T}_{R}}={{e}^{\mu +\ln (\Gamma _{1}^{-1}(1-R;k))}}</math>' (and the only contributor was 'Steve Sharp'))
• 16:19, 7 June 2012 Lisa Hacker talk contribs deleted page The Gamma Failure Rate Function (content was: 'The instantaneous gamma failure rate is given by: ::<math>\lambda =\frac{{{e}^{kz-{{e}^{z}}}}}{t\Gamma (k)(1-{{\Gamma }_{1}}(k;{{e}^{z}}))}</math>' (and the only contributor was 'Steve Sharp'))
• 16:19, 7 June 2012 Lisa Hacker talk contribs deleted page Bounds of the Parameters (content was: 'The lower and upper bounds on the mean, <math>\widehat{\mu }</math> , are estimated from: ::<math>\begin{align} {{\mu }_{U}}= & \widehat{\mu }+{{K}_…' (and the only contributor was 'Steve Sharp'))
• 16:19, 7 June 2012 Lisa Hacker talk contribs deleted page The Logistic Conditional Reliability Function (content was: 'The logistic conditional reliability function is given by: ::<math>R(t/T)=\frac{R(T+t)}{R(T)}=\frac{1+{{e}^{\tfrac{T-\mu }{\sigma }}}}{1+{{e}^{\tfrac{t+…' (and the only contributor was 'Steve Sharp'))
• 16:19, 7 June 2012 Lisa Hacker talk contribs deleted page Bounds on Reliability (content was: 'The reliability of the gamma distribution is: ::<math>\widehat{R}(T;\hat{\mu },\hat{k})=1-{{\Gamma }_{1}}(\widehat{k};{{e}^{\widehat{z}}})</math> where…' (and the only contributor was 'Steve Sharp'))
• 16:18, 7 June 2012 Lisa Hacker talk contribs deleted page Bounds on Time (content was: 'The bounds around time for a given gamma percentile (unreliability) are estimated by first solving the reliability equation with respect to time, as follo…' (and the only contributor was 'Steve Sharp'))
• 16:18, 7 June 2012 Lisa Hacker talk contribs deleted page The Logistic Standard Deviation (content was: 'The standard deviation of the logistic distribution, <math>{{\sigma }_{T}}</math> , is given by: ::<math>{{\sigma }_{T}}=\sigma \pi \frac{\sqrt{3}}{3…' (and the only contributor was 'Steve Sharp'))
• 16:18, 7 June 2012 Lisa Hacker talk contribs deleted page The Logistic Reliability Function (content was: 'The reliability for a mission of time <math>T</math> , starting at age 0, for the logistic distribution is determined by: ::<math>R(T)=\int_{T}^{\infty…' (and the only contributor was 'Steve Sharp'))
• 16:05, 7 June 2012 Lisa Hacker talk contribs deleted page The Logistic Failure Rate Function (content was: 'The logistic failure rate function is given by: ::<math>\lambda (T)=\frac{{{e}^{z}}}{\sigma (1+{{e}^{z}})}</math>' (and the only contributor was 'Steve Sharp'))
• 16:04, 7 June 2012 Lisa Hacker talk contribs deleted page Bounds on the Parameters (content was: 'The lower and upper bounds on the location parameter <math>\widehat{\mu }</math> are estimated from : ::<math>{{\mu }_{U}}=\widehat{\mu }+{{K}_{\alpha…' (and the only contributor was 'Steve Sharp'))
• 16:04, 7 June 2012 Lisa Hacker talk contribs deleted page New3 Bounds on Reliability (content was: 'The reliability of the logistic distribution is: ::<math>\widehat{R}=\frac{1}{1+{{e}^{\widehat{z}}}}</math> where: ::<math>\widehat{z}=\frac{T-\wideh…' (and the only contributor was 'Steve Sharp'))
• 16:04, 7 June 2012 Lisa Hacker talk contribs deleted page Mean, Median and Mode (content was: 'The mean of the loglogistic distribution, <math>\overline{T}</math> , is given by: ::<math>\overline{T}={{e}^{\mu }}\Gamma (1+\sigma )\Gamma (1-\sigma …' (and the only contributor was 'Steve Sharp'))
• 16:04, 7 June 2012 Lisa Hacker talk contribs deleted page The Standard Deviation (content was: 'The standard deviation of the loglogistic distribution, <math>{{\sigma }_{T}}</math> , is given by: ::<math>{{\sigma }_{T}}={{e}^{\mu }}\sqrt{\Gamma (1…' (and the only contributor was 'Steve Sharp'))
• 16:03, 7 June 2012 Lisa Hacker talk contribs deleted page The Loglogistic Failure Rate Function (content was: 'The loglogistic failure rate is given by: ::<math>\lambda (T)=\frac{{{e}^{z}}}{\sigma T(1+{{e}^{z}})}</math>' (and the only contributor was 'Steve Sharp'))
• 15:42, 7 June 2012 Lisa Hacker talk contribs deleted page New4 Bounds on the Parameters (content was: 'The lower and upper bounds on the mean, <math>{\mu }'</math> , are estimated from: ::<math>\begin{align} & \mu _{U}^{\prime }= & {{\widehat{\mu }}^{\…' (and the only contributor was 'Steve Sharp'))
• 15:41, 7 June 2012 Lisa Hacker talk contribs deleted page New4 Bounds on Reliability (content was: 'The reliability of the logistic distribution is: ::<math>\widehat{R}=\frac{1}{1+\exp (\widehat{z})}</math> where: ::<math>\widehat{z}=\frac{{T}'-\wi…' (and the only contributor was 'Steve Sharp'))
• 15:41, 7 June 2012 Lisa Hacker talk contribs deleted page The Gumbel Probability Density Function (content was: 'The <math>pdf</math> of the Gumbel distribution is given by: ::<math>f(T)=\frac{1}{\sigma }{{e}^{z-{{e}^{z}}}}</math> ::<math>f(T)\ge 0,\sigma >0</…' (and the only contributor was 'Steve Sharp'))
• 15:41, 7 June 2012 Lisa Hacker talk contribs deleted page The Gumbel Mean, Median and Mode (content was: 'The Gumbel mean or MTTF is: ::<math>\overline{T}=\mu -\sigma \gamma </math> where <math>\gamma \approx 0.5772</math> (Euler's constant). The mode of…' (and the only contributor was 'Steve Sharp'))
• 15:40, 7 June 2012 Lisa Hacker talk contribs deleted page The Gumbel Standard Deviation (content was: 'The standard deviation for the Gumbel distribution is given by: ::<math>{{\sigma }_{T}}=\sigma \pi \frac{\sqrt{6}}{6}</math>' (and the only contributor was 'Steve Sharp'))
• 15:40, 7 June 2012 Lisa Hacker talk contribs deleted page The Gumbel Reliability Function (content was: 'The reliability for a mission of time <math>T</math> for the Gumbel distribution is given by: ::<math>R(T)={{e}^{-{{e}^{z}}}}</math> The unreliabilit…' (and the only contributor was 'Steve Sharp'))
• 15:40, 7 June 2012 Lisa Hacker talk contribs deleted page Example 1 (content was: 'A health care company maintains five identical pieces of equipment used by a hospital. When a piece of equipment fails, the company sends a crew to repair…' (and the only contributor was 'Steve Sharp'))
• 15:40, 7 June 2012 Lisa Hacker talk contribs deleted page Solution to Example 2 (content was: 'Using Eq. MCF Var the following table of variance values can be obtained: Using Eqn.(MCF Bounds) and <math>{{K}_{5}}=1.644</math> for a 95% confiden…' (and the only contributor was 'Steve Sharp'))
• 15:39, 7 June 2012 Lisa Hacker talk contribs deleted page New6 Example 3 (content was: 'The following table displays transmission repairs on a sample of 14 cars with manual transmission in a preproduction road test [31]. Here + denotes the ce…' (and the only contributor was 'Steve Sharp'))
• 15:39, 7 June 2012 Lisa Hacker talk contribs deleted page New7 Confidence Bounds (content was: 'In general, in order to obtain the virtual age, the exact occurrence time of each event (failure) should be available, see Eqns.(Type I) and (Type 2). How…' (and the only contributor was 'Steve Sharp'))
• 15:39, 7 June 2012 Lisa Hacker talk contribs deleted page Warranty Prediction (content was: 'Once a life data analysis has been performed on warranty data, this information can be used to predict how many warranty returns there will be in subseque…' (and the only contributor was 'Steve Sharp'))
• 15:39, 7 June 2012 Lisa Hacker talk contribs deleted page Example 13 (content was: 'From Meeker & Escobar [27], the following table gives failure times for an electric component that has two failure modes. One failure mode is due to rand…' (and the only contributor was 'Steve Sharp'))
• 15:38, 7 June 2012 Lisa Hacker talk contribs deleted page Solution to Example 13 (content was: 'We will begin by performing a Weibull analysis of the voltage spike ( <math>V</math> ) failure mode. In order to do this, we must consider all of the fail…' (and the only contributor was 'Steve Sharp'))
• 15:38, 7 June 2012 Lisa Hacker talk contribs deleted page Example 15 (content was: 'The following data represent the times-to-failure for a product. Certain modifications were made to this product in order to improve its reliability. Re…' (and the only contributor was 'Steve Sharp'))
• 15:38, 7 June 2012 Lisa Hacker talk contribs deleted page New Stress Strength Analysis (content was: 'Using the same idea as illustrated in the previous section, one could determine the probability of failure based on the probability of stress exceeding st…' (and the only contributor was 'Steve Sharp'))
• 15:38, 7 June 2012 Lisa Hacker talk contribs deleted page New Solution to Example 16 (content was: 'The parts dimensions measurements were entered into a Weibull++ standard folio as separate data sheets and were analyzed assuming normal distribution and …' (and the only contributor was 'Steve Sharp'))
• 15:37, 7 June 2012 Lisa Hacker talk contribs deleted page Warranty Cost (content was: 'Warranty cost is a function of total market value, market share, reliability, and cost per failure. The function of cost per failure \(f_{4}\left(x\right)…' (and the only contributor was 'Steve Sharp'))
• 15:37, 7 June 2012 Lisa Hacker talk contribs deleted page Determining System Performance (content was: 'The values of system reliability ''R'', confidence level ''CL'', number of units tested ''n'', and number of failures ''r'' are related by the equation :…' (and the only contributor was 'Steve Sharp'))
• 15:35, 7 June 2012 Lisa Hacker talk contribs deleted page Regarding BlockSim's the Random Number Generator (RNG) (content was: '#REDIRECT Regarding BlockSim's Random Number Generator (RNG)' (and the only contributor was 'Steve Sharp'))
• 15:35, 7 June 2012 Lisa Hacker talk contribs deleted page Stress Loading (content was: 'The discussion of accelerated life testing analysis thus far has included the assumption that the stress loads applied to units in an accelerated test hav…' (and the only contributor was 'Steve Sharp'))
• 15:35, 7 June 2012 Lisa Hacker talk contribs deleted page Appendix 8A: IPL Confidence Bounds (content was: '==Approximate Confidence Bounds on IPL-Exponential== <br> ===Confidence Bounds on the Mean Life=== <br> From the inverse power law relationship the mean l…' (and the only contributor was 'Steve Sharp'))
• 15:35, 7 June 2012 Lisa Hacker talk contribs deleted page Example 6 (content was: 'ACME manufacturing has implemented an accelerated testing program for their new design. A total of 40 units were tested at four different pressure levels.…' (and the only contributor was 'Steve Sharp'))
• 15:34, 7 June 2012 Lisa Hacker talk contribs deleted page Example 11 (content was: 'A sample of and electronic device was tested in two testing chambers set at different temperatures and monitored on a weekly basis. The test was perfromed…' (and the only contributor was 'Steve Sharp'))
• 15:34, 7 June 2012 Lisa Hacker talk contribs deleted page Initial Parameter Estimation (content was: 'As a preliminary step, we need to provide a crude estimate of the Weibull parameters for this data. To begin, we will extract the exact times-to-failure: …' (and the only contributor was 'Steve Sharp'))
• 15:33, 7 June 2012 Lisa Hacker talk contribs deleted page New ReliaSoft's Alternate Ranking Method (content was: '= Sections = #ReliaSoft's Alternate Ranking Method (RRM) Step-by-Step Example #Initial Parameter Estimation #Results' (and the only contributor was 'Steve Sharp'))
• 15:05, 7 June 2012 Lisa Hacker talk contribs deleted page Expenential Probability Density Function (content was: '====The Two-Parameter Exponential Distribution==== The two-parameter exponential <math>pdf</math> is given by: ::<math>f(T)=\lambda {{e}^{-\lambda (T-\ga…' (and the only contributor was 'Steve Sharp'))
• 15:04, 7 June 2012 Lisa Hacker talk contribs deleted page New The Exponential Distribution (content was: 'The exponential distribution is a commonly used distribution in reliability engineering. Mathematically, it is a fairly simple distribution, which many ti…' (and the only contributor was 'Steve Sharp'))
• 15:04, 7 June 2012 Lisa Hacker talk contribs deleted page Background (content was: 'Consider a life test of identical components. The components were placed in a test at age <math>T=0</math> and were tested to failure, with their times…' (and the only contributor was 'Steve Sharp'))
• 15:03, 7 June 2012 Lisa Hacker talk contribs deleted page Characteristics of the Generalized Gamma Distribution (content was: 'As mentioned previously, the generalized gamma distribution includes other distributions as special cases based on the values of the parameters. ::• T…' (and the only contributor was 'Steve Sharp'))