User contributions for Nicolette Young

4 January 2012

• 21:2121:21, 4 January 2012 diff hist +142 N Template:Gamma standard deviation Created page with '===The Gamma Standard Deviation=== The standard deviation for the gamma distribution is: ::<math>{{\sigma }_{T}}=\sqrt{k}{{e}^{\mu }}</math>'
• 21:2121:21, 4 January 2012 diff hist −115 The Gamma Distribution →The Gamma Standard Deviation
• 21:1921:19, 4 January 2012 diff hist +299 N Template:Gamma mean median and mode Created page with '===The Gamma Mean, Median and Mode=== 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>\t…'
• 21:1921:19, 4 January 2012 diff hist −269 The Gamma Distribution →The Gamma Mean, Median and Mode
• 21:1921:19, 4 January 2012 diff hist +173 N Template:Gamma reliability function Created page with '===The Gamma Reliability Function=== The reliability for a mission of time <math>T</math> for the gamma distribution is: ::<math>R=1-{{\Gamma }_{1}}(k;{{e}^{z}})</math>'
• 21:1821:18, 4 January 2012 diff hist −146 The Gamma Distribution →The Gamma Reliability Function
• 21:1721:17, 4 January 2012 diff hist +432 N Template:Gamma probability density function Created page with '===Gamma Probability Density Function=== The <math>pdf</math> of the gamma distribution is given by: ::<math>f(T)=\frac{{{e}^{kz-{{e}^{z}}}}}{t\Gamma (k)}</math> :where: :…'
• 21:1721:17, 4 January 2012 diff hist −394 The Gamma Distribution →Gamma Probability Density Function
• 21:1221:12, 4 January 2012 diff hist +8,382 N Template:Generalized Gamma Confidence bounds Created page with '===Confidence Bounds=== The only method available in Weibull++ for confidence bounds for the generalized gamma distribution is the Fisher matrix, which is described next. ====Bo…'
• 21:1221:12, 4 January 2012 diff hist −8,358 The Generalized Gamma Distribution →Confidence Bounds
• 21:1021:10, 4 January 2012 diff hist +1,298 N Template:Characteristics of the generalized gamma distribution Created page with '===Characteristics of the Generalized Gamma Distribution=== As mentioned previously, the generalized gamma distribution includes other distributions as special cases based on the…'
• 21:1021:10, 4 January 2012 diff hist −1,241 The Generalized Gamma Distribution →Characteristics of the Generalized Gamma Distribution
• 21:1021:10, 4 January 2012 diff hist +643 N Template:Generalized gamma reliable life Created page with '===Generalized Gamma Reliable Life=== The reliable life, <math>{{T}_{R}}</math> , of a unit for a specified reliability, starting the mission at age zero, is given by: ::<math…'
• 21:0921:09, 4 January 2012 diff hist −608 The Generalized Gamma Distribution →Generalized Gamma Reliable Life
• 21:0921:09, 4 January 2012 diff hist +387 N Template:Generalized gamma failure rate function Created page with '===Generalized Gamma Failure Rate Function=== As defined in Chapter 3, the failure rate function is given by: ::<math>\lambda (t)=\frac{f(t)}{R(t)}</math> Owing to the complex…'
• 21:0921:09, 4 January 2012 diff hist −344 The Generalized Gamma Distribution →Generalized Gamma Failure Rate Function
• 21:0821:08, 4 January 2012 diff hist +1,268 N Template:Generalized gamma reliability function Created page with '===Generalized Gamma Reliability Function=== The reliability function for the generalized gamma distribution is given by: ::<math>R(t)=\left\{ \begin{array}{*{35}{l}} 1-{{\Ga…'
• 21:0821:08, 4 January 2012 diff hist −1,226 The Generalized Gamma Distribution →Generalized Gamma Reliability Function
• 21:0821:08, 4 January 2012 diff hist +2,519 N Template:Generalized gamma probability density function Created page with '===Generalized Gamma Probability Density Function=== The generalized gamma function is a three-parameter distribution. One version of the generalized gamma distribution uses the …'
• 21:0821:08, 4 January 2012 diff hist −2,469 The Generalized Gamma Distribution →The Generalized Gamma Distribution
• 18:4318:43, 4 January 2012 diff hist +138 N Template:Mixed weibull parameter estimation Created page with '===Mixed Weibull Parameter Estimation=== {{mixed weibull regression solution}} {{mixed weibull MLE}} {{mixed weibull confidence bounds}}'
• 18:4318:43, 4 January 2012 diff hist −100 The Mixed Weibull Distribution →Mixed Weibull Parameter Estimation
• 18:4218:42, 4 January 2012 diff hist +2,437 N Template:Mixed weibull confidence bounds Created page with '===Mixed Weibull Confidence Bounds=== In Weibull++, two methods are available for estimating the confidence bounds for the mixed Weibull distribution. The first method is the bet…'
• 18:4218:42, 4 January 2012 diff hist −2,402 The Mixed Weibull Distribution →Mixed Weibull Confidence Bounds
• 18:4218:42, 4 January 2012 diff hist +692 N Template:Mixed weibull MLE Created page with '====MLE==== The same space of parameters, namely <math>\widehat{{{\rho }_{1,\text{ }}}}</math> <math>\widehat{{{\beta }_{1}}},</math> <math>\widehat{{{\eta }_{1}}},</math> …'
• 18:4118:41, 4 January 2012 diff hist −671 The Mixed Weibull Distribution →MLE
• 18:4118:41, 4 January 2012 diff hist +1,270 N Template:Mixed weibull regression solution Created page with '====Regression Solution==== Weibull++ utilizes a modified Levenberg-Marquardt algorithm (non-linear regression) when performing regression analysis on a mixed Weibull distributio…'
• 18:4118:41, 4 January 2012 diff hist −1,233 The Mixed Weibull Distribution →Regression Solution
• 18:4018:40, 4 January 2012 diff hist +6,272 N Template:Background of weibull distribution Created page with '===Background=== 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-to-fai…'
• 18:4018:40, 4 January 2012 diff hist −6,234 The Mixed Weibull Distribution →Background
• 18:3818:38, 4 January 2012 diff hist +5,082 N Template:Lognormal distribution bayesian confidence bounds Created page with '==Bayesian Confidence Bounds== ===Bounds on Parameters=== From Chapter 5, we know that the marginal distribution of parameter <math>{\mu }'</math> is: ::<math>\begin{align} …'
• 18:3818:38, 4 January 2012 diff hist −5,049 The Lognormal Distribution →Bayesian Confidence Bounds
• 18:3718:37, 4 January 2012 diff hist +12,193 N Template:Lognormal distribution Likelihood ratio confidence bounds Created page with '===Likelihood Ratio Confidence Bounds=== ====Bounds on Parameters==== As covered in Chapter 5, the likelihood confidence bounds are calculated by finding values for <math>{{\th…'
• 18:3718:37, 4 January 2012 diff hist −12,155 Template:Lognormal distribution confidence bounds →Likelihood Ratio Confidence Bounds
• 18:3618:36, 4 January 2012 diff hist +8,611 N Template:Lognormal distribution fisher matrix bounds Created page with '===Fisher Matrix Bounds=== ====Bounds on the Parameters==== The lower and upper bounds on the mean, <math>{\mu }'</math> , are estimated from: ::<math>\begin{align} & \mu _{…'
• 18:3618:36, 4 January 2012 diff hist −8,584 Template:Lognormal distribution confidence bounds →Fisher Matrix Bounds
• 18:3618:36, 4 January 2012 diff hist +21,524 N Template:Lognormal distribution confidence bounds Created page with '==Confidence Bounds== The method used by the application in estimating the different types of confidence bounds for lognormally distributed data is presented in this section. Not…'
• 18:3518:35, 4 January 2012 diff hist −21,500 Template:Lognormal distribution estimation of the parameters →Confidence Bounds
• 18:3518:35, 4 January 2012 diff hist −2 Template:Lognormal distribution estimation of the parameters →Confidence Bounds
• 18:3418:34, 4 January 2012 diff hist +955 N Template:Lognormal distribution maximum likelihood estimation Created page with '===Maximum Likelihood Estimation=== As it was outlined in Chapter 3, maximum likelihood estimation works by developing a likelihood function based on the available data and findi…'
• 18:3418:34, 4 January 2012 diff hist −919 Template:Lognormal distribution estimation of the parameters No edit summary
• 18:3218:32, 4 January 2012 diff hist +4,220 N Template:Lognormal distributionrank regression on x Created page with '===Rank Regression on X=== Performing a rank regression on X requires that a straight line be fitted to a set of data points such that the sum of the squares of the horizontal de…'
• 18:3218:32, 4 January 2012 diff hist −4,194 Template:Lognormal distribution estimation of the parameters No edit summary
• 18:3118:31, 4 January 2012 diff hist +7,078 N Template:Lognormal distribution rank regression on Y Created page with '===Rank Regression on Y=== Performing a rank regression on Y requires that a straight line be fitted to a set of data points such that the sum of the squares of the vertical devi…'
• 18:3118:31, 4 January 2012 diff hist −7,050 Template:Lognormal distribution estimation of the parameters No edit summary
• 18:3018:30, 4 January 2012 diff hist +3,937 N Template:Lognormal distribution probability plotting Created page with '===Probability Plotting=== As described before, probability plotting involves plotting the failure times and associated unreliability estimates on specially constructed probabili…'
• 18:3018:30, 4 January 2012 diff hist −3,910 Template:Lognormal distribution estimation of the parameters No edit summary
• 18:2718:27, 4 January 2012 diff hist +37,758 N Template:Lognormal distribution estimation of the parameters Created page with '==Estimation of the Parameters== ===Probability Plotting=== As described before, probability plotting involves plotting the failure times and associated unreliability estimates …'
• 18:2618:26, 4 January 2012 diff hist −37,723 The Lognormal Distribution →Estimation of the Parameters
• 18:2618:26, 4 January 2012 diff hist +2,358 N Template:Lognormal distribution characteristics Created page with '==Distribution Characteristics== thumb|center|300px| <math></math> :• The lognormal distribution is a distribution skewed to the right. :• The <math>p…'