User contributions for Steve Sharp

30 June 2011

• 22:3022:30, 30 June 2011 diff hist −39‎ Probability Plotting ‎No edit summary
• 19:0519:05, 30 June 2011 diff hist +1‎ Bayesian-Weibull Analysis ‎ →‎Confidence Bounds on R(T)
• 18:5918:59, 30 June 2011 diff hist +9‎ Fisher Matrix Confidence Bounds ‎ →‎Confidence Bounds on Time (Type 1) current
• 18:5918:59, 30 June 2011 diff hist +14‎ Fisher Matrix Confidence Bounds ‎ →‎Bayesian Confidence Bounds
• 18:5818:58, 30 June 2011 diff hist +10‎ Fisher Matrix Confidence Bounds ‎ →‎Bayesian Confidence Bounds
• 18:5718:57, 30 June 2011 diff hist +6‎ Fisher Matrix Confidence Bounds ‎ →‎Introduction
• 18:5118:51, 30 June 2011 diff hist +154‎ Appendix: Log-Likelihood Equations ‎No edit summary
• 16:0016:00, 30 June 2011 diff hist 0‎ Time-Dependent System Reliability (Analytical) ‎No edit summary

29 June 2011

• 22:2122:21, 29 June 2011 diff hist +47‎ Probability Plotting ‎No edit summary
• 22:0222:02, 29 June 2011 diff hist −4‎ Appendix A: Generating Random Numbers from a Distribution ‎No edit summary
• 21:1021:10, 29 June 2011 diff hist +47‎ N Basics of System Reliability Analysis ‎ Created page with '=Sections= #Overview #Basic Terminology'
• 17:1317:13, 29 June 2011 diff hist +16‎ Lognormal Statistical Properties ‎No edit summary
• 16:5716:57, 29 June 2011 diff hist +53‎ Bayesian-Weibull Analysis ‎No edit summary
• 16:5416:54, 29 June 2011 diff hist +10‎ Template:Likelihood Ratio Confidence Bounds ‎No edit summary
• 16:1916:19, 29 June 2011 diff hist +128‎ Fisher Matrix Confidence Bounds ‎No edit summary
• 16:0816:08, 29 June 2011 diff hist +12‎ Median Ranks ‎No edit summary
• 16:0616:06, 29 June 2011 diff hist +90‎ Appendix: Log-Likelihood Equations ‎No edit summary
• 15:5915:59, 29 June 2011 diff hist +2‎ Appendix: Maximum Likelihood Estimation Example ‎ →‎Illustrating the MLE Method Using the Exponential Distribution
• 15:5915:59, 29 June 2011 diff hist +26‎ Appendix: Maximum Likelihood Estimation Example ‎No edit summary
• 15:0915:09, 29 June 2011 diff hist +5,886‎ N Appendix E: References ‎ Created page with '1) Aitchison, J., Jr. and Brown, J.A.C., The Lognormal Distribution, Cambridge University Press, New York, 176 pp., 1957. <br> <br> 2) Cramer, H., Mathematical Methods of Statist…'
• 15:0715:07, 29 June 2011 diff hist −2‎ Appendix C: Benchmark Examples ‎No edit summary
• 15:0615:06, 29 June 2011 diff hist +2‎ Appendix C: Benchmark Examples ‎No edit summary
• 15:0615:06, 29 June 2011 diff hist 0‎ Appendix C: Benchmark Examples ‎No edit summary
• 15:0615:06, 29 June 2011 diff hist +30‎ Appendix C: Benchmark Examples ‎No edit summary
• 15:0515:05, 29 June 2011 diff hist +541‎ N Appendix C: Benchmark Examples ‎ Created page with 'In this section, five published examples are presented for comparison purposes. ReliaSoft's R&D validated the ALTA software with hundreds of data sets and methods. ALTA also cros…'
• 00:0600:06, 29 June 2011 diff hist +784‎ N Appendix B: Parameter Estimation ‎ Created page with 'Once a life distribution and a life-stress relationship have been selected, the parameters (i.e. the variables that govern the characteristics of the ) need to be determined. Sev…'
• 00:0200:02, 29 June 2011 diff hist +6‎ Appendix A: Brief Statistical Background ‎No edit summary
• 00:0200:02, 29 June 2011 diff hist +138‎ N Appendix A: Brief Statistical Background ‎ Created page with '=Sections= #Brief Statistical Background #Distributions #Confidence Intervals (or Bounds) #Confidence Limits Determination'

28 June 2011

• 21:4521:45, 28 June 2011 diff hist +6,894‎ N Probability Plotting ‎ Created page with 'One method of calculating the parameter of the exponential distribution is by using probability plotting. To better illustrate this procedure, consider the following example. <b…'
• 17:0917:09, 28 June 2011 diff hist +2,827‎ N Mixed Weibull Distribution ‎ Created page with 'The mixed Weibull distribution (also known as a multimodal Weibull) is used to model data that do not fall on a straight line on a Weibull probability plot. Data of this type, pa…' current
• 17:0217:02, 28 June 2011 diff hist +2,106‎ N Lognormal Statistical Properties ‎ Created page with '====The Mean or MTTF==== The mean of the lognormal distribution, <math>\mu </math> , is given by [18]: <math>\mu ={{e}^{{\mu }'+\tfrac{1}{2}\sigma _{{{T}'}}^{2}}}</math> The…'
• 16:5416:54, 28 June 2011 diff hist +15,502‎ N Bayesian-Weibull Analysis ‎ Created page with 'In this section, the Bayesian methods are presented for the two-parameter Weibull distribution. Bayesian concepts were introduced in Chapter 3. This model considers prior knowled…'
• 16:5316:53, 28 June 2011 diff hist +2,431‎ N Template:Likelihood Ratio Confidence Bounds ‎ Created page with 'As covered in Chapter 5, the likelihood confidence bounds are calculated by finding values for <span class="texhtml">θ₁</span> and <span class="texhtml">θ<sub>2</sub…'
• 00:0400:04, 28 June 2011 diff hist +45,766‎ N Fisher Matrix Confidence Bounds ‎ Created page with 'This section presents an overview of the theory on obtaining approximate confidence bounds on suspended (multiply censored) data. The methodology used is the so-called Fisher mat…'

27 June 2011

• 23:5423:54, 27 June 2011 diff hist +6,934‎ N Data & Data Types ‎ Created page with 'Statistical models rely extensively on data to make predictions. In our case, the models are the ''statistical distributions'' and the data are the '' life data''or '' times-to-f…'
• 23:4923:49, 27 June 2011 diff hist +369‎ N ReliaSoft's Alternate Ranking Method (RRM) Step-by-Step Example ‎ Created page with 'This section illustrates the ReliaSoft ranking method (RRM), which is an iterative improvement on the standard ranking method (SRM). This method is illustrated in this section us…' current
• 23:4523:45, 27 June 2011 diff hist +539‎ N When Using Maximum Likelihood ‎ Created page with 'When using maximum likelihood methods, each individual time is explicitly used in the calculation of the parameters, thus there is no difference in the entry of a group of 10 uni…'
• 23:4423:44, 27 June 2011 diff hist +1,595‎ N Median Ranks ‎ Created page with 'Median ranks are used to obtain an estimate of the unreliability, <math>Q({{T}_{j}}),</math> for each failure at a <math>50%</math> confidence level. In the case of grouped data,…'
• 23:4423:44, 27 June 2011 diff hist +1,279‎ N When Using Rank Regression (Least Squares) ‎ Created page with 'When using grouped data, Weibull++ plots the data point corresponding to the highest rank position in each group. In other words, given 3 groups of 10 units, each failing at 100,…'
• 23:4023:40, 27 June 2011 diff hist −18‎ Appendix: Log-Likelihood Equations ‎ →‎Logistic Log-Likelihood Functions and their Partials
• 23:3923:39, 27 June 2011 diff hist −4‎ Appendix: Log-Likelihood Equations ‎ →‎The One-Parameter Exponential
• 23:3923:39, 27 June 2011 diff hist −13‎ Appendix: Log-Likelihood Equations ‎ →‎The Three-Parameter Weibull
• 23:3823:38, 27 June 2011 diff hist −11‎ Appendix: Log-Likelihood Equations ‎ →‎The Two-Parameter Weibull
• 23:3723:37, 27 June 2011 diff hist +57,958‎ N Appendix: Log-Likelihood Equations ‎ Created page with 'This appendix covers the log-likelihood functions and their associated partial derivatives for most of the distributions available in Weibull++. These distributions are discussed…'
• 23:3623:36, 27 June 2011 diff hist +7,524‎ N Appendix: Maximum Likelihood Estimation Example ‎ Created page with 'If <math>x</math> is a continuous random variable with <math>pdf\ \ :</math> <math>f(x;{{\theta }_{1}},{{\theta }_{2}},...,{{\theta }_{k}}),</math> where <math>{{\theta }_{1}},…'
• 22:4122:41, 27 June 2011 diff hist +155‎ Appendix A: Generating Random Numbers from a Distribution ‎No edit summary
• 22:4122:41, 27 June 2011 diff hist +146‎ N Appendix A: Generating Random Numbers from a Distribution ‎ Created page with '= Sections = #Generating Random Times from a Weibull Distribution #Conditional #Regarding BlockSim's the Random Number Generator (RNG)'
• 22:3822:38, 27 June 2011 diff hist +3,576‎ N Appendix B: References ‎ Created page with '1) Aitchison, J. and J.A.C. Brown, The Lognormal Distribution, Cambridge University Press, New York, 1957. <br> <br> 2) Barlow, R. and L. Hunter, Optimum Preventive Maintenance P…'
• 22:1122:11, 27 June 2011 diff hist +30‎ Reliability Phase Diagrams (RPDs) ‎No edit summary
• 22:0922:09, 27 June 2011 diff hist +299‎ N Reliability Phase Diagrams (RPDs) ‎ Created page with '= Sections = #Introduction #Types of Phases #Cycles and Phase Diagram Execution #Working with Phase Diagrams #Operational Phase Properties #Step-by-Step #…'