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Combined display of all available logs of ReliaWiki. You can narrow down the view by selecting a log type, the username (case-sensitive), or the affected page (also case-sensitive).

• 16:34, 7 June 2012 Lisa Hacker talk contribs deleted page The Mathematics (content was: '#REDIRECT Median Ranks' (and the only contributor was 'Pantelis'))
• 16:34, 7 June 2012 Lisa Hacker talk contribs deleted page New Grouped Data Parameter Estimation (content was: '= Sections = #Grouped Data Analysis #When Using Rank Regression (Least Squares) #The Mathematics #When Using Maximum Likelihood' (and the only contributor was 'Steve Sharp'))
• 16:30, 7 June 2012 Lisa Hacker talk contribs deleted page Results (content was: 'The results of the first five iterations are shown in Table B.10. Using Weibull++ with rank regression on X yields: ::<math>{{\widehat{\beta }}_{RRX}}=1…' (and the only contributor was 'Steve Sharp'))
• 16:29, 7 June 2012 Lisa Hacker talk contribs deleted page Exponential Statistical Properties (content was: '====The Mean or MTTF==== The mean, <math>\overline{T},</math> or mean time to failure (MTTF) is given by: :<math>\begin{align} \bar{T}= & \int_{\gamm…' (and the only contributor was 'Steve Sharp'))
• 16:29, 7 June 2012 Lisa Hacker talk contribs deleted page Estimation of the Exponential Parameters (content was: '====Probability Plotting==== Estimation of the parameters for the exponential distribution via probability plotting is very similar to the process used wh…' (and the only contributor was 'Steve Sharp'))
• 16:25, 7 June 2012 Lisa Hacker talk contribs deleted page Newerer Confidence Bounds (content was: 'In this section, we present the methods used in the application to estimate the different types of confidence bounds for exponentially distributed data. T…' (and the only contributor was 'Steve Sharp'))
• 16:25, 7 June 2012 Lisa Hacker talk contribs deleted page Bayesian Confidence Bounds (content was: '====Bounds on Parameters==== From Chapter 5, we know that the posterior distribution of <math>\lambda </math> can be written as: ::<math>f(\lambda |Data…' (and the only contributor was 'Steve Sharp'))
• 16:24, 7 June 2012 Lisa Hacker talk contribs deleted page General Examples (content was: '=====Example 8===== Twenty units were reliability tested with the following results: {| border=1 cellspacing=0 |+ Table 7.1 - Life Test Data |- |Number…' (and the only contributor was 'Steve Sharp'))
• 16:24, 7 June 2012 Lisa Hacker talk contribs deleted page Characteristics of the Weibull Distribution (content was: 'As was mentioned previously, the Weibull distribution is widely used in reliability and life data analysis due to its versatility. Depending on the values…' (and the only contributor was 'Steve Sharp'))
• 16:24, 7 June 2012 Lisa Hacker talk contribs deleted page New Fisher Matrix Confidence Bounds (content was: '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…' (and the only contributor was 'Steve Sharp'))
• 16:23, 7 June 2012 Lisa Hacker talk contribs deleted page New Bayesian Confidence Bounds (content was: '== Bounds on Parameters == Bayesian Bounds use non-informative prior distributions for both parameters. From Chapter 5, we know that if the prior distrib…' (and the only contributor was 'Steve Sharp'))
• 16:23, 7 June 2012 Lisa Hacker talk contribs deleted page Newer Fisher Matrix Confidence Bounds (content was: '===Bounds on the Parameters=== The lower and upper bounds on the mean, <math>\widehat{\mu }</math> , are estimated from: ::<math>\begin{align} & {{\m…' (and the only contributor was 'Steve Sharp'))
• 16:23, 7 June 2012 Lisa Hacker talk contribs deleted page Newer Likelihood Ratio Confidence Bounds (content was: '===Bounds on Parameters=== As covered in Chapter 5, the likelihood confidence bounds are calculated by finding values for <math>{{\theta }_{1}}</math> a…' (and the only contributor was 'Steve Sharp'))
• 16:22, 7 June 2012 Lisa Hacker talk contribs deleted page Mixed Weibull Parameter Estimation (content was: '====Regression Solution==== Weibull++ utilizes a modified Levenberg-Marquardt algorithm (non-linear regression) when performing regression analysis on a m…' (and the only contributor was 'Steve Sharp'))
• 16:22, 7 June 2012 Lisa Hacker talk contribs deleted page Generalized Gamma Probability Density Function (content was: 'The generalized gamma function is a three-parameter distribution. One version of the generalized gamma distribution uses the parameters <math>k</math>, …' (and the only contributor was 'Steve Sharp'))
• 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'))