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19:15, 7 June 2012 Lisa Hacker talk contribs deleted page About This Reference (content was: 'This reference is one in a series of reliability engineering reference works created by ReliaSoft. Some concepts and examples related to life data analysi…' (and the only contributor was 'Steve Sharp'))
19:15, 7 June 2012 Lisa Hacker talk contribs deleted page New Foreword (content was: 'Traditional life data analysis involves analyzing times-to-failure data (of a product, system or component) obtained under normal operating conditions in…' (and the only contributor was 'Steve Sharp'))
19:14, 7 June 2012 Lisa Hacker talk contribs deleted page Data and Data Types (content was: 'The analysis of accelerated life tests relies extensively on data. Specifically, analysis relies on life and stress data or times-to-failure data at a spe…' (and the only contributor was 'Steve Sharp'))
19:14, 7 June 2012 Lisa Hacker talk contribs deleted page New Residual Plots (content was: 'Residual analysis for reliability consists of analyzing the results of a regression analysis by assigning residual values to each data point in the data set. Plotting these residuals provides a very good tool in assessing model assumptio…')
19:13, 7 June 2012 Lisa Hacker talk contribs deleted page New11 Parameter Estimation (content was: 'The parameter of the exponential distribution can be estimated graphically on probability plotting paper or analytically using either least squares or max…' (and the only contributor was 'Steve Sharp'))
19:13, 7 June 2012 Lisa Hacker talk contribs deleted page Acceleration Factor (content was: 'Most practitioners use the term acceleration factor to refer to the ratio of the life (or acceleration characteristic) between the use level and a higher …' (and the only contributor was 'Steve Sharp'))
19:13, 7 June 2012 Lisa Hacker talk contribs deleted page Example (content was: 'Consider the following times-to-failure data at three different stress levels. center The data set was analyzed jointly and with a complete MLE solution over the entire data set, using…')
19:10, 7 June 2012 Lisa Hacker talk contribs deleted page New13 Acceleration Factor (content was: 'For the Eyring model the acceleration factor is given by: ::<math>{{A}_{F}}=\frac{{{L}_{USE}}}{{{L}_{Accelerated}}}=\frac{\tfrac{1}{{{V}_{u}}}\text{…' (and the only contributor was 'Steve Sharp'))
19:10, 7 June 2012 Lisa Hacker talk contribs deleted page New13 Example (content was: 'Consider the following times-to-failure data at three different stress levels. center The data se…' (and the only contributor was 'Steve Sharp'))
19:10, 7 June 2012 Lisa Hacker talk contribs deleted page Appendix 7A: Eyring Confidence Bounds (content was: '==Approximate Confidence Bounds for the Eyring-Exponential== ===Confidence Bounds on Mean Life=== The mean life for the Eyring relationship l i…' (and the only contributor was 'Steve Sharp'))
19:10, 7 June 2012 Lisa Hacker talk contribs deleted page New14 Example 1 (content was: 'Consider the following times-to-failure data at two different stress levels. center The data set was analy…' (and the only contributor was 'Steve Sharp'))
19:09, 7 June 2012 Lisa Hacker talk contribs deleted page A Look at the Parameters Phi and b (content was: 'Depending on which stress type is kept constant, it can be seen from Eqn. (ln Temp-Hum) that either the parameter <math>\phi </math> or the parameter <…' (and the only contributor was 'Steve Sharp'))
19:09, 7 June 2012 Lisa Hacker talk contribs deleted page T-H Data (content was: 'When using the T-H relationship, the effect of both temperature and humidity on life is sought. For this reason, the test must be performed in a combinati…' (and the only contributor was 'Steve Sharp'))
19:09, 7 June 2012 Lisa Hacker talk contribs deleted page Appendix 9A: T-H Confidence Bounds (content was: '==Approximate Confidence Bounds for the T-H Exponential== ===Confidence Bounds on the Mean Life=== The mean life for the T-H exponential distrib…' (and the only contributor was 'Steve Sharp'))
19:09, 7 June 2012 Lisa Hacker talk contribs deleted page A Look at the Parameters B and n (content was: 'Depending on which stress type is kept constant, it can be seen from Eqns. (ln Temp) and (ln Hum) that either the parameter <math>B</math> or the parame…' (and the only contributor was 'Steve Sharp'))
19:08, 7 June 2012 Lisa Hacker talk contribs deleted page New17 Example (content was: 'Twelve electronic devices were put into a continuous accelerated test and the following data were collected. center …' (and the only contributor was 'Steve Sharp'))
19:08, 7 June 2012 Lisa Hacker talk contribs deleted page Appendix 10A: T-NT Confidence Bounds (content was: '==Approximate Confidence Bounds for the T-NT Exponential== ===Confidence Bounds on the Mean Life=== The mean life for the T-NT model is given by…' (and the only contributor was 'Steve Sharp'))
19:07, 7 June 2012 Lisa Hacker talk contribs deleted page New18 Introduction (content was: 'So far in this reference the life-stress relationships presented have been either single stress relationships (Chapters 6, 7, and 8) or two stress relatio…' (and the only contributor was 'Steve Sharp'))
19:07, 7 June 2012 Lisa Hacker talk contribs deleted page New19 Introduction (content was: 'Traditionally, accelerated tests that use a time-varying stress application have been used to assure failures quickly. This is highly desirable given the …' (and the only contributor was 'Steve Sharp'))
18:58, 7 June 2012 Lisa Hacker talk contribs deleted page Confidence Intervals (content was: 'Using the same methodology as in previous sections, approximate confidence intervals can be derived and applied to all results of interest using the Fishe…' (and the only contributor was 'Steve Sharp'))
18:57, 7 June 2012 Lisa Hacker talk contribs deleted page Example 5 (content was: 'In the previous example, it was found that the 10,000 landings life criterion for a 90% reliability was met. However, the estimate of 11,668.73 cycles (or…' (and the only contributor was 'Steve Sharp'))
18:57, 7 June 2012 Lisa Hacker talk contribs deleted page Example 7 (content was: 'Twenty-seven circuit boards were tested with temperature as the accelerated stress (or stimuli). The goal was to estimate the reliability after 10 years a…' (and the only contributor was 'Steve Sharp'))
18:57, 7 June 2012 Lisa Hacker talk contribs deleted page Example 10 (content was: 'Consider a test in which multiple stresses were applied simultaneously to a particular automotive part in order to precipitate failures more quickly than …' (and the only contributor was 'Steve Sharp'))
18:56, 7 June 2012 Lisa Hacker talk contribs deleted page Confidence Intervals (or Bounds) (content was: 'One of the most confusing concepts to an engineer new to the field is the concept of putting a probability on a probability. In life data analysis, this c…' (and the only contributor was 'Steve Sharp'))
18:56, 7 June 2012 Lisa Hacker talk contribs deleted page Conclusions (content was: 'In this appendix, two methods for estimating the parameters of accelerated life testing models were presented. First, the graphical method was illustrated…' (and the only contributor was 'Steve Sharp'))
18:55, 7 June 2012 Lisa Hacker talk contribs deleted page New Appendix D: References (content was: '#REDIRECT Reference Appendix D: References' (and the only contributor was 'Athanasios Gerokostopoulos'))
18:54, 7 June 2012 Lisa Hacker talk contribs deleted page Lifetime Distributions (Life Data Models) (content was: 'Statistical distributions have been formulated by statisticians, mathematicians and engineers to mathematically model or represent certain behavior. The p…' (and the only contributor was 'Steve Sharp'))
18:53, 7 June 2012 Lisa Hacker talk contribs deleted page New Introduction to Life Data Analysis (content was: '= Sections = #An Overview of Basic Concepts #Life Data #Lifetime Distributions (Life Data Models) #References' (and the only contributor was 'Steve Sharp'))
18:53, 7 June 2012 Lisa Hacker talk contribs deleted page The Reliability Function (content was: 'The reliability function can be derived using the previous definition of the cumulative distribution function, Eqn. (e21). The probability of an event hap…' (and the only contributor was 'Steve Sharp'))
18:52, 7 June 2012 Lisa Hacker talk contribs deleted page New Basic Statistical Background (content was: 'In this section provides a brief elementary introduction to the most common and fundamental statistical equations and definitions used in reliability engi…' (and the only contributor was 'Steve Sharp'))
18:51, 7 June 2012 Lisa Hacker talk contribs deleted page Most Commonly Used Distributions (content was: 'There are many different lifetime distributions that can be used to model reliability data. Leemis [22] and others present a good overview of many of thes…' (and the only contributor was 'Steve Sharp'))
18:51, 7 June 2012 Lisa Hacker talk contribs deleted page Other Distributions (content was: 'In addition to the distributions mentioned, the following additional distributions, even though not as frequently used in Life Data Analysis, have a varie…' (and the only contributor was 'Steve Sharp'))
18:51, 7 June 2012 Lisa Hacker talk contribs deleted page Maximum Likelihood (MLE) Parameter Estimation for Complete Data (content was: 'From a statistical point of view, the method of maximum likelihood estimation is, with some exceptions, considered to be the most robust of the parameter …' (and the only contributor was 'Steve Sharp'))
18:50, 7 June 2012 Lisa Hacker talk contribs deleted page Bayesian Statistics (content was: 'Up to this point, we have dealt exclusively with what is commonly referred to as classical statistics. In this section, another school of thought in stati…' (and the only contributor was 'Steve Sharp'))
18:49, 7 June 2012 Lisa Hacker talk contribs deleted page New Maximum Likelihood Parameter Estimation (content was: '= Sections = #Maximum Likelihood Estimation #Distribution Log-Likelihood Equations' (and the only contributor was 'Steve Sharp'))
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'))

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