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19:49, 6 June 2012 Lisa Hacker talk contribs deleted page New11 The Exponential Distribution (content was: 'The exponential distribution is a very commonly used distribution in reliability engineering. Due to its simplicity, it has been widely employed even in c…' (and the only contributor was 'Steve Sharp'))
19:48, 6 June 2012 Lisa Hacker talk contribs deleted page New11 The Weibull Distribution (content was: 'The Weibull distribution is one of the most commonly used distributions in reliability engineering because of the many shapes it attains for various value…' (and the only contributor was 'Steve Sharp'))
19:48, 6 June 2012 Lisa Hacker talk contribs deleted page MLE Parameter Estimation (content was: 'The parameters of the 2-parameter Weibull distribution can also be estimated using Maximum Likelihood Estimation (MLE). This log-likelihood function is co…' (and the only contributor was 'Steve Sharp'))
18:00, 6 June 2012 Lisa Hacker talk contribs deleted page Chapter 5: Life Distributions (content was: 'In this section we will briefly present three lifetime distributions commonly used in accelerated life test analysis, namely the 1-parameter exponential, …' (and the only contributor was 'Steve Sharp'))
17:59, 6 June 2012 Lisa Hacker talk contribs deleted page Arrhenius-Exponential (content was: 'The <math>pdf</math> of the 1-parameter exponential distribution is given by: ::<math>\mathop{f(t)=\lambda {{e}^{-\lambda t}}}</math> It can…' (and the only contributor was 'Steve Sharp'))
17:59, 6 June 2012 Lisa Hacker talk contribs deleted page Arrhenius-Weibull (content was: '==The Model== The Arrhenius-Weibull model as used in acclerated life testing is a combination of the 2-parameter Weibull distribution and the Arrhenius life-stress relationship, or: ::<math>f(t)=\frac{\beta }{\eta }{{\lef…')
17:59, 6 June 2012 Lisa Hacker talk contribs deleted page Arrhenius-Lognormal (content was: 'The <math>pdf</math> of the lognormal distribution is given by: ::<math>f(T)=\frac{1}{T\text{ }{{\sigma }_{{{T}'}}}\sqrt{2\pi }}{{e}^{-\tfrac…' (and the only contributor was 'Steve Sharp'))
17:57, 6 June 2012 Lisa Hacker talk contribs deleted page Eyring-Exponential (content was: 'The <math>pdf</math> of the 1-parameter exponential distribution is given by: ::<math>f(t)=\lambda \cdot {{e}^{-\lambda \cdot t}}</math> It ca…' (and the only contributor was 'Steve Sharp'))
17:57, 6 June 2012 Lisa Hacker talk contribs deleted page New13 Parameter Estimation (content was: '===Maximum Likelihood Estimation Method=== The Eyring-Weibull log-likelihood function is composed of two summation portions: ::<math>\begin{al…' (and the only contributor was 'Steve Sharp'))
17:56, 6 June 2012 Lisa Hacker talk contribs deleted page Eyring-Lognormal (content was: 'The <math>pdf</math> of the lognormal distribution is given by: ::<math>f(T)=\frac{1}{T\text{ }{{\sigma }_{{{T}'}}}\sqrt{2\pi }}{{e}^{-\tfrac{1}{…' (and the only contributor was 'Steve Sharp'))
17:56, 6 June 2012 Lisa Hacker talk contribs deleted page Generalized Eyring Relationship (content was: '===Introduction=== The generalized Eyring relationship is used when temperature and a second non-thermal stress (e.g. voltage) are the accelerated s…' (and the only contributor was 'Steve Sharp'))
17:56, 6 June 2012 Lisa Hacker talk contribs deleted page New14 Acceleration Factor (content was: 'For the IPL relationship the acceleration factor is given by: ::<math>{{A}_{F}}=\frac{{{L}_{USE}}}{{{L}_{Accelerated}}}=\frac{\tfrac{1}{KV_{u}^{n}}…' (and the only contributor was 'Steve Sharp'))
17:55, 6 June 2012 Lisa Hacker talk contribs deleted page IPL-Exponential (content was: 'The IPL-exponential model can be derived by setting <math>m=L(V)</math> in Eqn. (inverse), yielding the following IPL-exponential <math>pdf</math> : <…' (and the only contributor was 'Steve Sharp'))
17:55, 6 June 2012 Lisa Hacker talk contribs deleted page IPL-Weibull (content was: 'The IPL-Weibull model can be derived by setting <math>\eta =L(V)</math> , yielding the following IPL-Weibull <math>pdf\ \ :</math> ::<math>f(t,V)…' (and the only contributor was 'Steve Sharp'))
17:54, 6 June 2012 Lisa Hacker talk contribs deleted page IPL-Lognormal (content was: 'The <math>pdf</math> of the lognormal distribution is given by: ::<math>f(T)=\frac{1}{T\text{ }{{\sigma }_{{{T}'}}}\sqrt{2\pi }}{{e}^{-\tfrac{1}{2…' (and the only contributor was 'Steve Sharp'))
17:54, 6 June 2012 Lisa Hacker talk contribs deleted page IPL and the Coffin-Manson Relationship (content was: 'In accelerated life testing analysis, thermal cycling is commonly treated as a low-cycle fatigue problem, using the inverse power law relationship. Coffin…' (and the only contributor was 'Steve Sharp'))
17:54, 6 June 2012 Lisa Hacker talk contribs deleted page New15 Introduction (content was: 'The Temperature-Humidity (T-H) relationship, a variation of the Eyring relationship, has been proposed for predicting the life at use conditions when tem…' (and the only contributor was 'Steve Sharp'))
17:54, 6 June 2012 Lisa Hacker talk contribs deleted page New15 Acceleration Factor (content was: 'The acceleration factor for the T-H relationship is given by: ::<math>{{A}_{F}}=\frac{{{L}_{USE}}}{{{L}_{Accelerated}}}=\frac{A{{e}^{\tfrac{\phi }{…' (and the only contributor was 'Steve Sharp'))
17:53, 6 June 2012 Lisa Hacker talk contribs deleted page T-H Exponential (content was: 'By setting <math>m=L(U,V)</math> in Eqn. (Temp-Hum) the exponential <math>pdf</math> becomes: ::<math>f(t,V,U)=\frac{1}{A}{{e}^{-\left( \tfrac{\…' (and the only contributor was 'Steve Sharp'))
17:53, 6 June 2012 Lisa Hacker talk contribs deleted page T-NT Lognormal (content was: 'The <math>pdf</math> of the lognormal distribution is given by: ::<math>f(T)=\frac{1}{T\text{ }{{\sigma }_{{{T}'}}}\sqrt{2\pi }}{{e}^{-\tfrac{1}{2…' (and the only contributor was 'Steve Sharp'))
17:52, 6 June 2012 Lisa Hacker talk contribs deleted page T-H Weibull (content was: 'By setting <math>\eta =L(U,V)</math> as given in Eqn. (Temp-Hum), the T--H Weibull model's <math>pdf</math> is given by: .. ===T-H Weibull Stat…' (and the only contributor was 'Steve Sharp'))
17:52, 6 June 2012 Lisa Hacker talk contribs deleted page T-H Lognormal (content was: 'The <math>pdf</math> of the lognormal distribution is given by: ::<math>f(T)=\frac{1}{T\text{ }{{\sigma }_{{{T}'}}}\sqrt{2\pi }}{{e}^{-\tfrac{1}{2…' (and the only contributor was 'Steve Sharp'))
17:51, 6 June 2012 Lisa Hacker talk contribs deleted page Chapter 9: Temperature-Humidity Relationship (content was: '=Sections= #New15 Introduction #A Look at the Parameters Phi and b #T-H Data #New15 Acceleration Factor #T-H Exponential #T-H Weibul…' (and the only contributor was 'Steve Sharp'))
17:51, 6 June 2012 Lisa Hacker talk contribs deleted page New17 Introduction (content was: 'When temperature and a second non-thermal stress (e.g. voltage) are the accelerated stresses of a test, then the Arrhenius and the inverse power law relat…' (and the only contributor was 'Steve Sharp'))
17:51, 6 June 2012 Lisa Hacker talk contribs deleted page New17 Acceleration Factor (content was: 'The acceleration factor for the T-NT relationship is given by: ::<math>{{A}_{F}}=\frac{{{L}_{USE}}}{{{L}_{Accelerated}}}=\frac{\tfrac{C}{U_{u}^{n}}{…' (and the only contributor was 'Steve Sharp'))
17:50, 6 June 2012 Lisa Hacker talk contribs deleted page T-NT Exponential (content was: 'By setting <math>m=L(U,V)</math> as given in Eqn. (Temp-Volt), the exponential <math>pdf</math> becomes: ::<math>f(t,U,V)=\frac{{{U}^{n}}}{C}{{e}^{-\t…' (and the only contributor was 'Steve Sharp'))
17:47, 6 June 2012 Lisa Hacker talk contribs deleted page T-NT Weibull (content was: 'By setting <math>\eta =L(U,V)</math> from Eqn. (Temp-Volt), the T-NT Weibull model is given by: ::<math>f(t,U,V)=\frac{\beta {{U}^{n}}{{e}^{-\tfrac{B}{V…' (and the only contributor was 'Steve Sharp'))
17:46, 6 June 2012 Lisa Hacker talk contribs deleted page Chapter 10: Temperature-NonThermal Relationship (content was: '=Sections= #New17 Introduction #A Look at the Parameters B and n #New17 Acceleration Factor #T-NT Exponential #T-NT Weibull #T-NT Lo…' (and the only contributor was 'Steve Sharp'))
17:46, 6 June 2012 Lisa Hacker talk contribs deleted page Accelerated Life Test Plans (content was: 'Poor accelerated test plans waste time, effort and money and may not even yield the desired information. Before starting an accelerated test (which is som…' (and the only contributor was 'Steve Sharp'))
17:46, 6 June 2012 Lisa Hacker talk contribs deleted page Example 8 (content was: 'An electronic component was redesigned and was tested to failure at three different temperatures. Six units were tested at each stress level. At the 406K …' (and the only contributor was 'Steve Sharp'))
17:45, 6 June 2012 Lisa Hacker talk contribs deleted page General Log-Linear Relationship (content was: 'When a test involves multiple accelerating stresses or requires the inclusion of an engineering variable, a general multivariable relationship is needed. …' (and the only contributor was 'Steve Sharp'))
17:45, 6 June 2012 Lisa Hacker talk contribs deleted page Proportional Hazards Model (content was: 'Introduced by D. R. Cox, the Proportional Hazards (PH) model was developed in order to estimate the effects of different covariates influencing the times-…' (and the only contributor was 'Steve Sharp'))
17:44, 6 June 2012 Lisa Hacker talk contribs deleted page Indicator Variables (content was: 'Another advantage of the models presented in this chapter is that they allow for simultaneous analysis of continuous and categorical variables. Categorica…' (and the only contributor was 'Steve Sharp'))
17:44, 6 June 2012 Lisa Hacker talk contribs deleted page Chapter 11: Multivariable Relationships: General Log-Linear and Proportional Hazards (content was: '=Sections= #New18 Introduction #General Log-Linear Relationship #Proportional Hazards Model #Indicator Variables' (and the only contributor was 'Steve Sharp'))
17:44, 6 June 2012 Lisa Hacker talk contribs deleted page New19 Example (content was: 'Using the simple step-stress data given in Section 12.2, one would define <math>x(t)</math> as: ::<math>\begin{align} x(t)= & 2,\text{ }0<t\le …' (and the only contributor was 'Steve Sharp'))
17:43, 6 June 2012 Lisa Hacker talk contribs deleted page Cumulative Damage General Log-Linear Relationship (content was: 'This section presents a generalized formulation of the cumulative damage model where multiple stress types are used in the analysis and where the stresses…' (and the only contributor was 'Steve Sharp'))
17:43, 6 June 2012 Lisa Hacker talk contribs deleted page Common Shape Parameter Likelihood Ratio Test (content was: 'In order to assess the assumption of a common shape parameter among the data obtained at various stress levels, the likelihood ratio (LR) test can be util…' (and the only contributor was 'Steve Sharp'))
17:43, 6 June 2012 Lisa Hacker talk contribs deleted page Tests of Comparison (content was: 'It is often desirable to be able to compare two sets of accelerated life data in order to determine which of the data sets has a more favorable life distr…' (and the only contributor was 'Steve Sharp'))
17:42, 6 June 2012 Lisa Hacker talk contribs deleted page Degradation Analysis (content was: 'Given that products are frequently being designed with higher reliabilities and developed in shorter amounts of time, even accelerated life testing is oft…' (and the only contributor was 'Steve Sharp'))
17:42, 6 June 2012 Lisa Hacker talk contribs deleted page Chapter 13: Additional Tools (content was: 'ALTA and ALTA PRO contain some additional analysis tools that allow you to perform supplementary analyses. These include tests of comparison between two d…' (and the only contributor was 'Steve Sharp'))
17:41, 6 June 2012 Lisa Hacker talk contribs deleted page Example 3 (content was: 'A mechanical component was put into an accelerated test with temperature as the accelerated stress. The following times-to-failure were observed. {|styl…' (and the only contributor was 'Steve Sharp'))
17:38, 6 June 2012 Lisa Hacker talk contribs deleted page Chapter 14: General Examples & Case Studies (content was: 'In this chapter we present some application examples utilizing ReliaSoft's ALTA and ALTA PRO. We assume that you have previously consulted the ALTA User's…' (and the only contributor was 'Steve Sharp'))
17:37, 6 June 2012 Lisa Hacker talk contribs deleted page Brief Statistical Background (content was: 'In this appendix we attempt to provide a brief elementary introduction to the most common and fundamental statistical equations and definitions used in re…' (and the only contributor was 'Steve Sharp'))
17:37, 6 June 2012 Lisa Hacker talk contribs deleted page Confidence Limits Determination (content was: 'This section presents an overview of the theory on obtaining approximate confidence bounds on suspended (multiply censored) data. The methodology used is …' (and the only contributor was 'Steve Sharp'))
17:36, 6 June 2012 Lisa Hacker talk contribs deleted page Maximum Likelihood (MLE) Parameter Estimation (content was: 'The idea behind maximum likelihood parameter estimation is to determine the parameters that maximize the probability (likelihood) of the sample data. From…' (and the only contributor was 'Steve Sharp'))
17:36, 6 June 2012 Lisa Hacker talk contribs deleted page MLE of Accelerated Life Data (content was: 'Maximum likelihood offers a very powerful method in estimating the parameters of accelerated testing models, making possible the analysis of very complex …' (and the only contributor was 'Steve Sharp'))
17:19, 6 June 2012 Lisa Hacker talk contribs deleted page New22 Example 1 (content was: 'From Wayne Nelson [28, p. 135]. ==Published Results for Example 1== ::• Published Results: ::<math>\begin{align} {{\widehat{\sigma }}_{{…' (and the only contributor was 'Steve Sharp'))
17:18, 6 June 2012 Lisa Hacker talk contribs deleted page New22 Example 2 (content was: 'From Wayne Nelson [28, p. 453], time to breakdown of a transformer oil, tested at 26kV, 28kV, 30kV, 32kV, 34kV, 36kV and 38kV. ==Published Resul…' (and the only contributor was 'Steve Sharp'))
17:16, 6 June 2012 Lisa Hacker talk contribs deleted page New22 Example 3 (content was: 'From Wayne Nelson [28, p. 157], forty bearings were tested to failure at four different test loads. The data were analyzed using the inverse power law Wei…' (and the only contributor was 'Steve Sharp'))
17:15, 6 June 2012 Lisa Hacker talk contribs deleted page New22 Example 4 (content was: 'From Meeker and Escobar [26, p. 504], Mylar-Polyurethane Insulating Structure data using the inverse power law lognormal model. ==Published Resu…' (and the only contributor was 'Steve Sharp'))

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