User contributions for Nicolette Young

4 January 2012

• 22:3222:32, 4 January 2012 diff hist +1,358 N Template:Loglogistic distribution characteristics Created page with '====Distribution Characteristics==== For <math>\sigma >1</math> : :• <math>f(T)</math> decreases monotonically and is convex. Mode and mean do not exist. For <math>\sigma…'
• 22:3222:32, 4 January 2012 diff hist −1,314 Template:Loglogistic distribution →Distribution Characteristics
• 22:3122:31, 4 January 2012 diff hist +156 N Template:Loglogistic failure rate function Created page with '====The loglogistic Failure Rate Function==== The loglogistic failure rate is given by: ::<math>\lambda (T)=\frac{{{e}^{z}}}{\sigma T(1+{{e}^{z}})}</math>'
• 22:3122:31, 4 January 2012 diff hist −120 Template:Loglogistic distribution →The loglogistic Failure Rate Function
• 22:3122:31, 4 January 2012 diff hist +136 N Template:Loglogistic reliable life Created page with '====The loglogistic Reliable Life==== The logistic reliable life is: ::<math>{{T}_{R}}={{e}^{\mu +\sigma [\ln (1-R)-\ln (R)]}}</math>'
• 22:3122:31, 4 January 2012 diff hist −107 Template:Loglogistic distribution →The loglogistic Reliable Life
• 22:3022:30, 4 January 2012 diff hist +373 N Template:Loglogistic reliability function Created page with '====The Loglogistic Reliability Function==== The reliability for a mission of time <math>T</math> , starting at age 0, for the loglogistic distribution is determined by: ::<mat…'
• 22:3022:30, 4 January 2012 diff hist −337 Template:Loglogistic distribution →The Loglogistic Reliability Function
• 22:2922:29, 4 January 2012 diff hist +355 N Template:Loglogistic standard deviation Created page with '====The Standard Deviation==== The standard deviation of the loglogistic distribution, <math>{{\sigma }_{T}}</math> , is given by: ::<math>{{\sigma }_{T}}={{e}^{\mu }}\sqrt{\G…'
• 22:2922:29, 4 January 2012 diff hist −321 Template:Loglogistic distribution →The Standard Deviation
• 22:2822:28, 4 January 2012 diff hist +2 Template:Loglogistic mean median and mode No edit summary
• 22:2822:28, 4 January 2012 diff hist −6 Template:Loglogistic mean median and mode No edit summary
• 22:2622:26, 4 January 2012 diff hist +595 N Template:Loglogistic mean median and mode Created page with ' ====Mean, Median and Mode==== The mean of the loglogistic distribution, <math>\overline{T}</math> , is given by: ::<math>\overline{T}={{e}^{\mu }}\Gamma (1+\sigma )\Gamma (1-…'
• 22:1822:18, 4 January 2012 diff hist −486 Template:Loglogistic distribution →Mean, Median and Mode
• 22:1722:17, 4 January 2012 diff hist +622 N Template:Loglogistic probability density function Created page with '====Loglogistic Probability Density Function==== The loglogistic distribution is a two-parameter distribution with parameters <math>\mu </math> and <math>\sigma </math> . The …'
• 22:1722:17, 4 January 2012 diff hist −578 Template:Loglogistic distribution →Loglogistic Probability Density Function
• 22:1322:13, 4 January 2012 diff hist +10,700 N Template:Loglogistic distribution Created page with '===The Loglogistic Distribution=== As may be indicated by the name, the loglogistic distribution has certain similarities to the logistic distribution. A random variable is loglo…'
• 22:1322:13, 4 January 2012 diff hist −10,672 The Loglogistic Distribution →The Loglogistic Distribution
• 21:5921:59, 4 January 2012 diff hist +6,476 N Template:Logistic confidence bounds Created page with '====Confidence Bounds==== In this section, we present the methods used in the application to estimate the different types of confidence bounds for logistically distributed data. …'
• 21:5921:59, 4 January 2012 diff hist −6,446 Template:Logistic distribution →Confidence Bounds
• 21:5821:58, 4 January 2012 diff hist +1,645 N Template:Logistic probability paper Created page with '====Probability Paper==== The form of the Logistic probability paper is based on linearizing the <math>cdf</math> . From Eqn. (UnR fcn), <math>z</math> can be calculated as a…'
• 21:5821:58, 4 January 2012 diff hist −1,615 Template:Logistic distribution →Probability Paper
• 21:5721:57, 4 January 2012 diff hist +4,166 N Template:Characteristics of the logistic distribution Created page with '====Characteristics of the Logistic Distribution==== :• The logistic distribution has no shape parameter. This means that the logistic <math>pdf</math> has only one shape, th…'
• 21:5721:57, 4 January 2012 diff hist −4,118 Template:Logistic distribution →Characteristics of the Logistic Distribution
• 21:5621:56, 4 January 2012 diff hist +158 N Template:Logistic failure rate function Created page with '====The Logistic Failure Rate Function==== The logistic failure rate function is given by: ::<math>\lambda (T)=\frac{{{e}^{z}}}{\sigma (1+{{e}^{z}})}</math>'
• 21:5621:56, 4 January 2012 diff hist −125 Template:Logistic distribution →The Logistic Failure Rate Function
• 21:5621:56, 4 January 2012 diff hist +133 N Template:Logistic reliable life Created page with '====The Logistic Reliable Life==== The logistic reliable life is given by: ::<math>{{T}_{R}}=\mu +\sigma [\ln (1-R)-\ln (R)]</math>'
• 21:5621:56, 4 January 2012 diff hist −107 Template:Logistic distribution →The Logistic Reliable Life
• 21:3621:36, 4 January 2012 diff hist +389 N Template:Logistic reliability function Created page with '====The Logistic Reliability Function==== The reliability for a mission of time <math>T</math> , starting at age 0, for the logistic distribution is determined by: ::<math>R(T)…'
• 21:3621:36, 4 January 2012 diff hist −355 Template:Logistic distribution →The Logistic Reliability Function
• 21:3521:35, 4 January 2012 diff hist +352 N Template:Logistic mean median and mode Created page with '====The Logistic Mean, Median and Mode==== The logistic mean or MTTF is actually one of the parameters of the distribution, usually denoted as <math>\mu </math> . Since the logi…'
• 21:3521:35, 4 January 2012 diff hist −318 Template:Logistic distribution →The Logistic Mean, Median and Mode
• 21:3421:34, 4 January 2012 diff hist +234 N Template:Logistic conditional reliability function Created page with '====The Logistic Conditional Reliability Function==== The logistic conditional reliability function is given by: ::<math>R(t/T)=\frac{R(T+t)}{R(T)}=\frac{1+{{e}^{\tfrac{T-\mu }…'
• 21:3421:34, 4 January 2012 diff hist −190 Template:Logistic distribution →The Logistic Conditional Reliability Function
• 21:3321:33, 4 January 2012 diff hist +202 N Template:Logistic standard deviation Created page with '====The Logistic Standard Deviation==== The standard deviation of the logistic distribution, <math>{{\sigma }_{T}}</math> , is given by: ::<math>{{\sigma }_{T}}=\sigma \pi \…'
• 21:3321:33, 4 January 2012 diff hist −172 Template:Logistic distribution →The Logistic Standard Deviation
• 21:3321:33, 4 January 2012 diff hist +454 N Template:Logistic probability density function Created page with '====Logistic Probability Density Function==== The logistic <math>pdf</math> is given by: ::<math>\begin{matrix} f(T)=\tfrac{{{e}^{z}}}{\sigma {{(1+{{e}^{z}})}^{2}}} \\ …'
• 21:3321:33, 4 January 2012 diff hist −413 Template:Logistic distribution →Logistic Probability Density Function
• 21:3021:30, 4 January 2012 diff hist +15,681 N Template:Logistic distribution Created page with '===The Logistic Distribution=== The logistic distribution has been used for growth models, and is used in a certain type of regression known as the logistic regression. It has al…'
• 21:3021:30, 4 January 2012 diff hist −15,656 The Logistic Distribution →The Logistic Distribution
• 21:2721:27, 4 January 2012 diff hist +913 Template:Gamma distribution confidence bounds →Confidence Bounds
• 21:2621:26, 4 January 2012 diff hist −914 The Gamma Distribution →Bounds on Reliability
• 21:2621:26, 4 January 2012 diff hist +2,373 N Template:Gamma distribution confidence bounds Created page with '===Confidence Bounds=== The only method available in Weibull++ for confidence bounds for the gamma distribution is the Fisher matrix, which is described next. The complete deriva…'
• 21:2621:26, 4 January 2012 diff hist −2,349 The Gamma Distribution →Confidence Bounds
• 21:2421:24, 4 January 2012 diff hist +1,936 N Template:Characteristics of the gamma distribution Created page with '===Characteristics of the Gamma Distribution=== Some of the specific characteristics of the gamma distribution are the following: For <math>k>1</math> : :• As <math>T\to 0,\…'
• 21:2421:24, 4 January 2012 diff hist −1,891 The Gamma Distribution →Characteristics of the Gamma Distribution
• 21:2321:23, 4 January 2012 diff hist +186 N Template:Gamma failure rate function Created page with '===The Gamma Failure Rate Function=== The instantaneous gamma failure rate is given by: ::<math>\lambda =\frac{{{e}^{kz-{{e}^{z}}}}}{t\Gamma (k)(1-{{\Gamma }_{1}}(k;{{e}^{z}}))…'
• 21:2321:23, 4 January 2012 diff hist −155 The Gamma Distribution →The Gamma Failure Rate Function
• 21:2221:22, 4 January 2012 diff hist +126 N Template:Gamma reliable life Created page with '===The Gamma Reliable Life=== The gamma reliable life is: ::<math>{{T}_{R}}={{e}^{\mu +\ln (\Gamma _{1}^{-1}(1-R;k))}}</math>'
• 21:2221:22, 4 January 2012 diff hist −103 The Gamma Distribution →The Gamma Reliable Life