User contributions for Nicolette Young

4 January 2012

• 17:2817:28, 4 January 2012 diff hist −543 Template:Normal statistical properties →The Normal Conditional Reliability Function
• 17:2717:27, 4 January 2012 diff hist +636 N Template:Normal reliability function Created page with '===The Normal Reliability Function=== The reliability for a mission of time <math>T</math> for the normal distribution is determined by: ::<math>R(T)=\int_{T}^{\infty }f(t)dt=…'
• 17:2717:27, 4 January 2012 diff hist −605 Template:Normal statistical properties →The Normal Reliability Function
• 17:2717:27, 4 January 2012 diff hist +190 N Template:Normal standard deviation Created page with '===The Normal Standard Deviation=== As with the mean, the standard deviation for the normal distribution is actually one of the parameters, usually denoted as <math>{{\sigma }_…'
• 17:2717:27, 4 January 2012 diff hist −162 Template:Normal statistical properties →The Normal Standard Deviation
• 17:2617:26, 4 January 2012 diff hist +301 N Template:Normal mean median and mode Created page with '===The Normal Mean, Median and Mode=== The normal mean or MTTF is actually one of the parameters of the distribution, usually denoted as <math>\mu .</math> Since the normal di…'
• 17:2617:26, 4 January 2012 diff hist −271 Template:Normal statistical properties →The Normal Mean, Median and Mode
• 17:2517:25, 4 January 2012 diff hist +2,567 N Template:Normal statistical properties Created page with '==Normal Statistical Properties== ===The Normal Mean, Median and Mode=== The normal mean or MTTF is actually one of the parameters of the distribution, usually denoted as <mat…'
• 17:2517:25, 4 January 2012 diff hist −2,535 The Normal Distribution →Normal Statistical Properties
• 17:2517:25, 4 January 2012 diff hist +598 N Template:Normal probability density function Created page with '==Normal Probability Density Function== The <math>pdf</math> of the normal distribution is given by: ::<math>f(T)=\frac{1}{{{\sigma }_{T}}\sqrt{2\pi }}{{e}^{-\tfrac{1}{2}{{\…'
• 17:2417:24, 4 January 2012 diff hist −559 The Normal Distribution →Normal Probability Density Function
• 16:5516:55, 4 January 2012 diff hist +15,780 N Template:Weibull-bayesian analysis Created page with '== Weibull-Bayesian Analysis == In this section, the Bayesian methods are presented for the two-parameter Weibull distribution. Bayesian concepts were introduced in Chapter 3. Th…'
• 16:5516:55, 4 January 2012 diff hist −15,751 The Weibull Distribution →Weibull-Bayesian Analysis
• 16:5416:54, 4 January 2012 diff hist +3,533 N Template:Weibull bayesian confidence bounds Created page with '== Bayesian Confidence Bounds == === Bounds on Parameters === Bayesian Bounds use non-informative prior distributions for both parameters. From Chapter 5, we know that if the p…'
• 16:5416:54, 4 January 2012 diff hist −3,495 The Weibull Distribution →Bayesian Confidence Bounds
• 16:5216:52, 4 January 2012 diff hist +2,483 N Template:Weibull likelihood ratio confidence bounds Created page with '== Likelihood Ratio Confidence Bounds == As covered in Chapter 5, the likelihood confidence bounds are calculated by finding values for <span class="texhtml">θ₁</spa…'
• 16:5216:52, 4 January 2012 diff hist −2,437 The Weibull Distribution →Likelihood Ratio Confidence Bounds
• 16:5116:51, 4 January 2012 diff hist +8,835 N Template:Weibull fisher matrix confidence bounds Created page with '== Fisher Matrix Confidence Bounds == One of the methods used by the application in estimating the different types of confidence bounds for Weibull data, the Fisher matrix metho…'
• 16:5116:51, 4 January 2012 diff hist −8,792 The Weibull Distribution →Fisher Matrix Confidence Bounds
• 16:4816:48, 4 January 2012 diff hist +2,643 N Template:Weibull parameters maximum likelihood estimation Created page with '=== Maximum Likelihood Estimation === As outlined in Chapter 3, maximum likelihood estimation works by developing a likelihood function based on the available data and finding t…'
• 16:4816:48, 4 January 2012 diff hist −2,591 Template:Estimation of the Weibull Parameters →Maximum Likelihood Estimation
• 16:4716:47, 4 January 2012 diff hist +2,249 N Template:Three-parameter weibull regression Created page with '=== Three-Parameter Weibull Regression === When the MR versus <span class="texhtml">''T''_''j''</span> points plotted on the Weibull probability paper do not fall on a…'
• 16:4716:47, 4 January 2012 diff hist −2,211 Template:Estimation of the Weibull Parameters →Three-Parameter Weibull Regression
• 16:4616:46, 4 January 2012 diff hist +3,657 N Template:Weibull parameters rank regression on x Created page with '=== Rank Regression on X === Performing a rank regression on X is similar to the process for rank regression on Y, with the difference being that the ''horizontal'' deviations f…'
• 16:4516:45, 4 January 2012 diff hist −3,614 Template:Estimation of the Weibull Parameters →Rank Regression on X
• 16:4516:45, 4 January 2012 diff hist +8,276 N Template:Weibull parameters Rank Regression on Y Created page with '=== Rank Regression on Y === Performing rank regression on Y requires that a straight line mathematically be fitted to a set of data points such that the sum of the squares of th…'
• 16:4516:45, 4 January 2012 diff hist +19 Template:Estimation of the Weibull Parameters No edit summary
• 16:4416:44, 4 January 2012 diff hist −8,252 Template:Estimation of the Weibull Parameters →Rank Regression on Y
• 16:4216:42, 4 January 2012 diff hist +907 Template:Weibull parameters probability plotting →Probability Plotting
• 16:4216:42, 4 January 2012 diff hist −908 Template:Estimation of the Weibull Parameters →Example 2
• 16:4216:42, 4 January 2012 diff hist +6,863 N Template:Weibull parameters probability plotting Created page with '=== Probability Plotting === One method of calculating the parameters of the Weibull distribution is by using probability plotting. To better illustrate this procedure, consider…'
• 16:4216:42, 4 January 2012 diff hist −6,820 Template:Estimation of the Weibull Parameters →Probability Plotting
• 16:4116:41, 4 January 2012 diff hist +24,834 N Template:Estimation of the Weibull Parameters Created page with '== Estimation of the Weibull Parameters == The estimates of the parameters of the Weibull distribution can be found graphically via probability plotting paper, or analytically, …'
• 16:4016:40, 4 January 2012 diff hist −24,794 The Weibull Distribution →Estimation of the Weibull Parameters
• 16:3616:36, 4 January 2012 diff hist +12,061 N Template:Characteristics of the Weibull Distribution Created page with '== Characteristics of the Weibull Distribution == As was mentioned previously, the Weibull distribution is widely used in reliability and life data analysis due to its versatili…'
• 16:3616:36, 4 January 2012 diff hist −12,014 The Weibull Distribution →Characteristics of the Weibull Distribution
• 16:3516:35, 4 January 2012 diff hist +281 N Template:Weibull failure rate function Created page with '=== The Weibull Failure Rate Function === The Weibull failure rate function, <math> \lambda(t) \,\!</math>, is given by: ::<math> \lambda \left( T\right) = \frac{f\left( T\rig…'
• 16:3516:35, 4 January 2012 diff hist −248 Template:Weibull Statistical Properties →The Weibull Failure Rate Function
• 16:3516:35, 4 January 2012 diff hist +540 N Template:Weibull reliable life Created page with '=== The Weibull Reliable Life === The reliable life, <math> T_{R} \,\!</math>, of a unit for a specified reliability,<math> R \,\!</math>, starting the mission at age zero, is g…'
• 16:3516:35, 4 January 2012 diff hist −515 Template:Weibull Statistical Properties →The Weibull Reliable Life
• 16:3416:34, 4 January 2012 diff hist +911 N Template:Weibull conditional reliability function Created page with '=== The Weibull Conditional Reliability Function === The three-parameter Weibull conditional reliability function is given by: ::<math> R(t|T)={ \frac{R(T+t)}{R(T)}}={\frac{e^…'
• 16:3416:34, 4 January 2012 diff hist −867 Template:Weibull Statistical Properties →The Weibull Conditional Reliability Function
• 16:3316:33, 4 January 2012 diff hist +580 N Template:Weibull reliability function Created page with '=== The Weibull Reliability Function === The equation for the three-parameter Weibull cumulative density function, ''cdf'', is given by: ::<math> F(T)=1-e^{-\left( \frac{T-\ga…'
• 16:3316:33, 4 January 2012 diff hist +2 Template:Weibull Statistical Properties No edit summary
• 16:3316:33, 4 January 2012 diff hist −550 Template:Weibull Statistical Properties →The Weibull Reliability Function
• 16:3216:32, 4 January 2012 diff hist +257 N Template:Weibull standard deviation Created page with '=== The Standard Deviation === The standard deviation, <span class="texhtml">σ_''T'',</span> is given by: ::<math> \sigma _{T}=\eta \cdot \sqrt{\Gamma \left( {\frac…'
• 16:3216:32, 4 January 2012 diff hist −227 Template:Weibull Statistical Properties →The Standard Deviation
• 16:3216:32, 4 January 2012 diff hist +162 N Template:Weibull mode Created page with '=== The Mode === The mode, <math> \tilde{T}, </math> is given by: ::<math> \tilde{T}=\gamma +\eta \left( 1-\frac{1}{\beta }\right) ^{\frac{1}{\beta }} </math>'
• 16:3216:32, 4 January 2012 diff hist −146 Template:Weibull Statistical Properties →The Mode
• 16:3116:31, 4 January 2012 diff hist +180 N Template:Weibull median Created page with '=== The Median === The median, <math> \breve{T}, </math> of the Weibull distribution is given by: ::<math> \breve{T}=\gamma +\eta \left( \ln 2\right) ^{\frac{1}{\beta }} </mat…'