User contributions for Nicolette Young

4 January 2012

• 16:3116:31, 4 January 2012 diff hist −162 Template:Weibull Statistical Properties →The Median
• 16:3116:31, 4 January 2012 diff hist +1,086 N Template:Weibull mean Created page with '=== The Mean or MTTF === The mean, <math> \overline{T} \,\!</math>, (also called ''MTTF'' of the Weibull ''pdf'' is given by: ::<math> \overline{T}=\gamma +\eta \cdot \Gamma \…'
• 16:3116:31, 4 January 2012 diff hist −1,070 Template:Weibull Statistical Properties →The Mean or MTTF
• 16:3016:30, 4 January 2012 diff hist +4,049 N Template:Weibull Statistical Properties Created page with '== Weibull Statistical Properties == === The Mean or MTTF === The mean, <math> \overline{T} \,\!</math>, (also called ''MTTF'' of the Weibull ''pdf'' is given by: ::<math> \o…'
• 16:3016:30, 4 January 2012 diff hist −4,015 The Weibull Distribution →Weibull Statistical Properties
• 16:2716:27, 4 January 2012 diff hist +1,680 N Template:Weibull Probability Density Function Created page with '== Weibull Probability Density Function == === The Three-Parameter Weibull Distribution === The three-parameter Weibull ''pdf'' is given by: ::<math> f(T)={ \frac{\beta }{\et…'
• 16:2716:27, 4 January 2012 diff hist −1,640 The Weibull Distribution →Weibull Probability Density Function
• 16:1916:19, 4 January 2012 diff hist +2,735 N Template:Bayesian Confidence Bounds ED Created page with '==Bayesian Confidence Bounds== ===Bounds on Parameters=== From Chapter 5, we know that the posterior distribution of <math>\lambda </math> can be written as: ::<math>f(\lambda …'
• 16:1916:19, 4 January 2012 diff hist −2,702 The Exponential Distribution →Bayesian Confidence Bounds
• 16:1716:17, 4 January 2012 diff hist +1 Template:Bounds on Parameters.LRCB.FMB.ED →Bounds on Parameters
• 16:1616:16, 4 January 2012 diff hist +1,492 N Template:Bounds on Time and Reliability.LRCB.FMB.ED Created page with '====Bounds on Time and Reliability==== In order to calculate the bounds on a time estimate for a given reliability, or on a reliability estimate for a given time, the likelihood …'
• 16:1516:15, 4 January 2012 diff hist −1,446 Template:Likelihood Ratio Confidence Bounds FMB ED →Likelihood Ratio Confidence Bounds
• 16:1316:13, 4 January 2012 diff hist 0 Template:Bounds on Parameters.LRCB.FMB.ED No edit summary
• 16:1216:12, 4 January 2012 diff hist +1,812 Template:Bounds on Parameters.LRCB.FMB.ED →Bounds on Parameters
• 16:1216:12, 4 January 2012 diff hist −1,812 Template:Likelihood Ratio Confidence Bounds FMB ED No edit summary
• 16:1116:11, 4 January 2012 diff hist +2,036 Template:Bounds on Parameters.LRCB.FMB.ED →Bounds on Parameters
• 16:1116:11, 4 January 2012 diff hist −2,038 Template:Likelihood Ratio Confidence Bounds FMB ED →Example 5
• 16:1116:11, 4 January 2012 diff hist +1,161 N Template:Bounds on Parameters.LRCB.FMB.ED Created page with '====Bounds on Parameters==== For one-parameter distributions such as the exponential, the likelihood confidence bounds are calculated by finding values for <math>\theta </math> …'
• 16:1116:11, 4 January 2012 diff hist −1,126 Template:Likelihood Ratio Confidence Bounds FMB ED →Bounds on Parameters
• 16:0916:09, 4 January 2012 diff hist +6,548 N Template:Likelihood Ratio Confidence Bounds FMB ED Created page with '===Likelihood Ratio Confidence Bounds=== ====Bounds on Parameters==== For one-parameter distributions such as the exponential, the likelihood confidence bounds are calculated b…'
• 16:0916:09, 4 January 2012 diff hist −6,503 Template:Confidence Bounds →Likelihood Ratio Confidence Bounds
• 16:0716:07, 4 January 2012 diff hist +620 N Template:Bounds on Time FMB ED Created page with '====Bounds on Time==== The bounds around time for a given exponential percentile, or reliability value, are estimated by first solving the reliability equation with respect to t…'
• 16:0716:07, 4 January 2012 diff hist −595 Template:Fisher Matrix Confidence Bounds ED →Bounds on Time
• 16:0616:06, 4 January 2012 diff hist +510 N Template:Bounds on Reliability FMB ED Created page with '====Bounds on Reliability==== The reliability of the two-parameter exponential distribution is: ::<math>\hat{R}(T;\hat{\lambda })={{e}^{-\hat{\lambda }(T-\hat{\gamma })}}</mat…'
• 16:0616:06, 4 January 2012 diff hist −479 Template:Fisher Matrix Confidence Bounds ED →Bounds on Reliability
• 16:0516:05, 4 January 2012 diff hist +1,941 N Template:Bounds on the Parameters FMB ED Created page with '====Bounds on the Parameters==== For the failure rate <math>\hat{\lambda }</math> the upper (<math>{{\lambda }_{U}}</math>) and lower (<math>{{\lambda }_{L}}</math>) bounds are …'
• 16:0516:05, 4 January 2012 diff hist −1,905 Template:Fisher Matrix Confidence Bounds ED →Fisher Matrix Bounds
• 16:0416:04, 4 January 2012 diff hist +3,104 N Template:Fisher Matrix Confidence Bounds ED Created page with '===Fisher Matrix Bounds=== ====Bounds on the Parameters==== For the failure rate <math>\hat{\lambda }</math> the upper (<math>{{\lambda }_{U}}</math>) and lower (<math>{{\lambd…'
• 16:0416:04, 4 January 2012 diff hist −3,065 Template:Confidence Bounds No edit summary
• 16:0216:02, 4 January 2012 diff hist +10,606 N Template: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 exponentially distributed data. The…'
• 16:0216:02, 4 January 2012 diff hist −10,585 The Exponential Distribution →Confidence Bounds
• 15:5615:56, 4 January 2012 diff hist +2,202 N Template:Maximum Likelihood Estimation for Exponential Distribution 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 the …'
• 15:5515:55, 4 January 2012 diff hist −2,169 The Exponential Distribution →Maximum Likelihood Estimation
• 15:5415:54, 4 January 2012 diff hist +4,963 N Template:Rank Regression on X for Exponential Distribution Created page with '===Rank Regression on X=== Similar to rank regression on Y, performing a rank regression on X requires that a straight line be fitted to a set of data points such that the sum of…'
• 15:5415:54, 4 January 2012 diff hist −4,939 The Exponential Distribution →Rank Regression on X
• 15:5315:53, 4 January 2012 diff hist +7,355 N Template:Rank Regression on Y for Exponential Distribution Created page with '===Rank Regression on Y=== Performing a rank regression on Y requires that a straight line be fitted to the set of available data points such that the sum of the squares of the v…'
• 15:5315:53, 4 January 2012 diff hist −7,331 The Exponential Distribution →Rank Regression on Y
• 15:5215:52, 4 January 2012 diff hist +4,107 N Template:Probability Plotting Exponential Distribution Created page with '===Probability Plotting=== Estimation of the parameters for the exponential distribution via probability plotting is very similar to the process used when dealing with the Weibul…'
• 15:5215:52, 4 January 2012 diff hist −4,081 The Exponential Distribution →Probability Plotting
• 15:5015:50, 4 January 2012 diff hist +2,979 N Template:Characteristics of the Exponential Distribution Created page with '==Characteristics of the Exponential Distribution== As mentioned before, the primary trait of the exponential distribution is that it is used for modeling the behavior of items w…'
• 15:5015:50, 4 January 2012 diff hist −2,928 The Exponential Distribution →Characteristics of the Exponential Distribution
• 00:1600:16, 4 January 2012 diff hist +392 N Template:Exponential Reliable Life Created page with '===The Exponential Reliable Life=== The reliable life, or the mission duration for a desired reliability goal, <math>{{t}_{R}}</math>, for the one-parameter exponential distribu…'
• 00:1600:16, 4 January 2012 diff hist −392 Template:Exponential Statistical Properties →The Exponential Reliable Life
• 00:1600:16, 4 January 2012 diff hist +452 N Template:Exponential Failure Rate Function Created page with '===The Exponential Failure Rate Function=== The exponential failure rate function is: ::<math>\lambda (T)=\frac{f(T)}{R(T)}=\frac{\lambda {{e}^{-\lambda (T-\gamma )}}}{{{e}^{-\l…'
• 00:1600:16, 4 January 2012 diff hist −453 Template:Exponential Statistical Properties →The Exponential Failure Rate Function
• 00:1600:16, 4 January 2012 diff hist +800 N Template:Exponential Conditional Reliability Created page with '===The Exponential Conditional Reliability=== The exponential conditional reliability equation gives the reliability for a mission of <math>t</math> duration, having already suc…'
• 00:1500:15, 4 January 2012 diff hist −799 Template:Exponential Statistical Properties →The Exponential Conditional Reliability
• 00:1500:15, 4 January 2012 diff hist +182 N Template:One-Parameter Exponential Reliability Function Created page with '====One-Parameter Exponential Reliability Function==== The one-parameter exponential reliability function is given by: ::<math>R(T)={{e}^{-\lambda T}}={{e}^{-\tfrac{T}{m}}}</m…'
• 00:1500:15, 4 January 2012 diff hist −184 Template:Exponential Statistical Properties →One-Parameter Exponential Reliability Function
• 00:1500:15, 4 January 2012 diff hist +557 N Template:Exponential Reliability Function Created page with '===The Exponential Reliability Function=== The equation for the two-parameter exponential cumulative density function, or <math>cdf,</math> is given by: ::<math>F(T)=Q(T)=1-{{e…'