User contributions for Nicolette Young

12 January 2012

• 22:2022:20, 12 January 2012 diff hist −2,868 Template:Appr conf bounds for arr-weibull →Bounds on the Parameters
• 22:1922:19, 12 January 2012 diff hist +8,685 N Template:Appr conf bounds for arr-weibull Created page with '==Approximate Confidence Bounds for the Arrhenius-Lognormal== <br> ===Bounds on the Parameters=== <br> The lower and upper bounds on <math>B</math> are estimated from: <br>…'
• 22:1922:19, 12 January 2012 diff hist −8,649 Template:Arrhenius confidence bounds →Approximate Confidence Bounds for the Arrhenius-Lognormal
• 22:1822:18, 12 January 2012 diff hist +558 N Template:Acb on time Created page with '===Confidence Bounds on Time=== <br> The bounds on time (ML estimate of time) for a given reliability are estimated by first solving the reliability function with respect to time…'
• 22:1822:18, 12 January 2012 diff hist −543 Template:Appr conf bounds for arr-exp →Confidence Bounds on Time
• 22:1722:17, 12 January 2012 diff hist +404 N Template:Acb on reliability Created page with '===Confidence Bounds on Reliability=== <br> The bounds on reliability for any given time, <math>T</math> , are estimated by: <br> ::<math>\begin{align} & {{R}_{U}}(T)= & {{e}^…'
• 22:1722:17, 12 January 2012 diff hist −382 Template:Appr conf bounds for arr-exp →Confidence Bounds on Reliability
• 22:1722:17, 12 January 2012 diff hist +2,252 N Template:Acb on the mean life Created page with '===Confidence Bounds on the Mean Life=== <br> The Arrhenius-exponential distribution is given by Eqn. (arrhenius) by setting <math>m=L(V)</math> as shown in Eqn. (Arrean). The …'
• 22:1722:17, 12 January 2012 diff hist −2,228 Template:Appr conf bounds for arr-exp →Confidence Bounds on the Mean Life
• 22:1622:16, 12 January 2012 diff hist +3,514 N Template:Appr conf bounds for arr-exp Created page with '==Approximate Confidence Bounds for the Arrhenius-Exponential== <br> There are different methods for computing confidence bounds. ALTA utilizes confidence bounds that are based o…'
• 22:1622:16, 12 January 2012 diff hist −3,483 Template:Arrhenius confidence bounds →Approximate Confidence Bounds for the Arrhenius-Exponential
• 22:1422:14, 12 January 2012 diff hist +19,963 N Template:Arrhenius confidence bounds Created page with '=Appendix 6.A: Arrhenius Confidence Bounds= <br> ==Approximate Confidence Bounds for the Arrhenius-Exponential== <br> There are different methods for computing confidence bounds.…'
• 22:1422:14, 12 January 2012 diff hist −19,932 Arrhenius Relationship →Appendix 6.A: Arrhenius Confidence Bounds
• 22:1322:13, 12 January 2012 diff hist +6,046 N Template:Arrhenius-log mle Created page with '====Maximum Likelihood Estimation Method==== <br> The lognormal log-likelihood function for the Arrhenius-lognormal model is as follows: <br> ::<math>\begin{align} & \ln (L)= …'
• 22:1322:13, 12 January 2012 diff hist −6,025 Template:Alta al →Maximum Likelihood Estimation Method
• 22:1222:12, 12 January 2012 diff hist +485 N Template:Alta al fr Created page with '====Arrhenius-Lognormal Failure Rate==== <br> The Arrhenius-lognormal failure rate is given by: <br> ::<math>\lambda (T,V)=\frac{f(T,V)}{R(T,V)}=\frac{\tfrac{1}{T\text{ }{{\sigm…'
• 22:1222:12, 12 January 2012 diff hist −471 Template:Alta al stat prop sum →Arrhenius-Lognormal Failure Rate
• 22:1122:11, 12 January 2012 diff hist +635 N Template:Alta al rl Created page with '====Reliable Life==== <br> For the Arrhenius-lognormal model, the reliable life, or the mission duration for a desired reliability goal, <math>{{t}_{R}},</math> is estimated by…'
• 22:1122:11, 12 January 2012 diff hist −621 Template:Alta al stat prop sum →Reliable Life
• 22:1022:10, 12 January 2012 diff hist +711 N Template:Alta al rf Created page with '====Arrhenius-Lognormal Reliability Function==== <br> The reliability for a mission of time <math>T</math> , starting at age 0, for the Arrhenius-lognormal model is determined b…'
• 22:1022:10, 12 January 2012 diff hist −696 Template:Alta al stat prop sum →Arrhenius-Lognormal Reliability Function
• 22:1022:10, 12 January 2012 diff hist +263 N Template:Alta al mode Created page with '====The Mode==== <br> • The mode of the Arrhenius-lognormal model is given by: ::<math>\begin{align} & \tilde{T}= & {{e}^{{{\overline{T}}^{\prime }}-\sigma _{{{T}'}}^{2}}…'
• 22:1022:10, 12 January 2012 diff hist −250 Template:Alta al stat prop sum →The Mode
• 22:1022:10, 12 January 2012 diff hist +830 N Template:Alta al sd Created page with '====The Standard Deviation==== <br> • The standard deviation of the Arrhenius-lognormal model (standard deviation of the times-to-failure), <math>{{\sigma }_{T}}</math> , is g…'
• 22:1022:10, 12 January 2012 diff hist −815 Template:Alta al stat prop sum →The Standard Deviation
• 22:0922:09, 12 January 2012 diff hist +670 N Template:Alta al mean Created page with '====The Mean==== <br> • The mean life of the Arrhenius-lognormal model (mean of the times-to-failure), <math>\bar{T}</math> , is given by: <br> ::<math>\begin{align} & \bar…'
• 22:0922:09, 12 January 2012 diff hist −656 Template:Alta al stat prop sum →The Mean
• 21:5021:50, 12 January 2012 diff hist +4,719 N Template:Alta al stat prop sum Created page with '===Arrhenius-Lognormal Statistical Properties Summary=== ====The Mean==== <br> • The mean life of the Arrhenius-lognormal model (mean of the times-to-failure), <math>\bar{T}</…'
• 21:4921:49, 12 January 2012 diff hist −4,693 Template:Alta al →Arrhenius-Lognormal Statistical Properties Summary
• 21:4821:48, 12 January 2012 diff hist +12,575 N Template:Alta al Created page with '==Arrhenius-Lognormal== <br> The <math>pdf</math> of the lognormal distribution is given by: <br> <br> ::<math>f(T)=\frac{1}{T\text{ }{{\sigma }_{{{T}'}}}\sqrt{2\pi }}{{e}^{-\…'
• 21:4721:47, 12 January 2012 diff hist −12,564 Arrhenius Relationship →Arrhenius-Lognormal
• 19:1719:17, 12 January 2012 diff hist +6,096 N Template:Aaw mle Created page with '====Maximum Likelihood Estimation Method==== <br> The Arrhenius-Weibull log-likelihood function is as follows: <br> ::<math>\begin{align} & \Lambda = & \underset{i=1}{\overset…'
• 19:1719:17, 12 January 2012 diff hist −6,085 Template:Aaw →Maximum Likelihood Estimation Method
• 19:1619:16, 12 January 2012 diff hist +494 N Template:Aaw frf Created page with '====Arrhenius-Weibull Failure Rate Function==== <br> The Arrhenius-Weibull failure rate function, <math>\lambda (T)</math> , is given by: <br> ::<math>\lambda \left( T,V \right…'
• 19:1619:16, 12 January 2012 diff hist −483 Template:Aaw stat prob sum →Arrhenius-Weibull Failure Rate Function
• 19:1619:16, 12 January 2012 diff hist +614 N Template:Aaw rl Created page with '====Reliable Life==== <br> For the Arrhenius-Weibull relationship, the reliable life, <math>{{t}_{R}}</math> , of a unit for a specified reliability and starting the mission at…'
• 19:1619:16, 12 January 2012 diff hist −604 Template:Aaw stat prob sum →Reliable Life
• 19:1519:15, 12 January 2012 diff hist +520 N Template:Aaw crf Created page with '====Conditional Reliability Function==== <br> The Arrhenius-Weibull conditional reliability function at a specified stress level is given by: <br> ::<math>R(T,t,V)=\frac{R(T+t,…'
• 19:1519:15, 12 January 2012 diff hist +2 Template:Aaw stat prob sum →Conditional Reliability Function
• 19:1519:15, 12 January 2012 diff hist −510 Template:Aaw stat prob sum →Conditional Reliability Function
• 19:1419:14, 12 January 2012 diff hist +314 N Template:Aaw sd Created page with '====Standard Deviation==== <br> The standard deviation, <math>{{\sigma }_{T}},</math> for the Arrhenius-Weibull model is given by: <br> ::<math>{{\sigma }_{T}}=C\cdot {{e}^{\t…'
• 19:1319:13, 12 January 2012 diff hist +1,007 N Template:Aaw rf Created page with '====Arrhenius-Weibull Reliability Function==== <br> The Arrhenius-Weibull reliability function is given by: <br> ::<math>R(T,V)={{e}^{-{{\left( \tfrac{T}{C\cdot {{e}^{\tfrac{B}{…'
• 19:1319:13, 12 January 2012 diff hist −996 Template:Aaw stat prob sum →Arrhenius-Weibull Reliability Function
• 19:1319:13, 12 January 2012 diff hist −304 Template:Aaw stat prob sum →Standard Deviation
• 19:1219:12, 12 January 2012 diff hist +215 N Template:Aaw mode Created page with '====Mode==== <br> The mode, <math>\tilde{T},</math> for the Arrhenius-Weibull model is given by: <br> ::<math>\tilde{T}=C\cdot {{e}^{\tfrac{B}{V}}}{{\left( 1-\frac{1}{\beta }…'
• 19:1219:12, 12 January 2012 diff hist −203 Template:Aaw stat prob sum →Mode
• 19:1219:12, 12 January 2012 diff hist +206 N Template:Aaw median Created page with '====Median==== <br> The median, <math>\breve{T},</math> for the Arrhenius-Weibull model is given by: <br> ::<math>\breve{T}=C\cdot {{e}^{\tfrac{B}{V}}}{{\left( \ln 2 \right)}…'
• 19:1219:12, 12 January 2012 diff hist −192 Template:Aaw stat prob sum →Median
• 19:1119:11, 12 January 2012 diff hist +452 N Template:Aaw mean Created page with '====Mean or MTTF==== <br> The mean, <math>\overline{T}</math> (also called <math>MTTF</math> by some authors), of the Arrhenius-Weibull relationship is given by: <br> ::<ma…'
• 19:1119:11, 12 January 2012 diff hist −439 Template:Aaw stat prob sum →Mean or MTTF