User contributions for Nicolette Young

12 January 2012

• 19:1119:11, 12 January 2012 diff hist +3,894 N Template:Aaw stat prob sum Created page with '===Arrhenius-Weibull Statistical Properties Summary=== <br> ====Mean or MTTF==== <br> The mean, <math>\overline{T}</math> (also called <math>MTTF</math> by some authors), o…'
• 19:1119:11, 12 January 2012 diff hist −3,873 Template:Aaw →Arrhenius-Weibull Statistical Properties Summary
• 19:0919:09, 12 January 2012 diff hist +4,417 N Template:Aae mle Created page with '====Maximum Likelihood Estimation Method==== <br> The log-likelihood function for the exponential distribution is as shown next: <br> ::<math>\begin{align} & \ln (L)= & \Lambd…'
• 19:0619:06, 12 January 2012 diff hist +11,466 N Template:Aaw Created page with '==Arrhenius-Weibull== <br> The <math>pdf</math> for 2-parameter Weibull distribution is given by: <br> ::{{weibull2pdf}} <br> The scale parameter (or characteristic life) of …'
• 19:0619:06, 12 January 2012 diff hist −11,459 Arrhenius Relationship →Arrhenius-Weibull
• 19:0319:03, 12 January 2012 diff hist +432 N Template:Aae rl Created page with '====Reliable Life==== <br> For the Arrhenius-exponential model, the reliable life, or the mission duration for a desired reliability goal, <math>{{t}_{R}},</math> is given by: …'
• 19:0319:03, 12 January 2012 diff hist −422 Template:Aae stat prop sum →Reliable Life
• 19:0319:03, 12 January 2012 diff hist +244 N Template:Aae cr Created page with '====Conditional Reliability==== The Arrhenius-exponential conditional reliability function is given by, ::<math>R(T,t,V)=\frac{R(T+t,V)}{R(T,V)}=\frac{{{e}^{-\lambda (T+t)}}}{{{…'
• 19:0319:03, 12 January 2012 diff hist −234 Template:Aae stat prop sum →Conditional Reliability
• 19:0319:03, 12 January 2012 diff hist +536 N Template:Aae rf Created page with '====Arrhenius-Exponential Reliability Function==== <br> The Arrhenius-exponential reliability function is given by: <br> ::<math>R(T,V)={{e}^{-\tfrac{T}{C{{e}^{\tfrac{B}{V}}}}}…'
• 19:0219:02, 12 January 2012 diff hist −526 Template:Aae stat prop sum →Arrhenius-Exponential Reliability Function
• 19:0219:02, 12 January 2012 diff hist +189 N Template:Aae sd Created page with '====Standard Deviation==== The standard deviation, <math>{{\sigma }_{T}}</math> , of the Arrhenius-exponential model is given by: <br> ::<math>{{\sigma }_{T}}=C{{e}^{\tfrac{B}{…'
• 19:0219:02, 12 January 2012 diff hist −179 Template:Aae stat prop sum →Standard Deviation
• 19:0219:02, 12 January 2012 diff hist +143 N Template:Aae mode Created page with '====Mode==== <br> The mode, <math>\tilde{T},</math> of the Arrhenius-exponential model is given by: <br> ::<math>\tilde{T}=0</math> <br>'
• 19:0219:02, 12 January 2012 diff hist −131 Template:Aae stat prop sum →Mode
• 19:0119:01, 12 January 2012 diff hist +174 N Template:Aae median Created page with '====Median==== <br> The median, <math>breve{T},</math> of the Arrhenius-exponential model is given by: <br> ::<math>\breve{T}=0.693\cdot C{{e}^{\tfrac{B}{V}}}</math> <br>'
• 19:0119:01, 12 January 2012 diff hist −160 Template:Aae stat prop sum →Median
• 19:0119:01, 12 January 2012 diff hist +390 N Template:Aae mean Created page with '====Mean or MTTF==== <br> The mean, <math>\overline{T},</math> or Mean Time To Failure (MTTF) of the Arrhenius-exponential is given by, <br> ::<math>\begin{align} & \overli…'
• 19:0019:00, 12 January 2012 diff hist −378 Template:Aae stat prop sum →Arrhenius-Exponential Statistical Properties Summary
• 19:0019:00, 12 January 2012 diff hist −4,406 Template:Aae →Maximum Likelihood Estimation Method
• 18:5918:59, 12 January 2012 diff hist +2,183 N Template:Aae stat prop sum Created page with '===Arrhenius-Exponential Statistical Properties Summary=== <br> ====Mean or MTTF==== <br> The mean, <math>\overline{T},</math> or Mean Time To Failure (MTTF) of the Arrhenius-e…'
• 18:5918:59, 12 January 2012 diff hist −2,162 Template:Aae →Arrhenius-Exponential Statistical Properties Summary
• 18:5918:59, 12 January 2012 diff hist +7,500 N Template:Aae Created page with '==Arrhenius-Exponential== <br> The <math>pdf</math> of the 1-parameter exponential distribution is given by: <br> ::<math>f(t)=\lambda {{e}^{-\lambda t}}</math> <br> It can b…'
• 18:5918:59, 12 January 2012 diff hist −7,493 Arrhenius Relationship →Arrhenius-Exponential
• 18:5818:58, 12 January 2012 diff hist +799 N Template:A-a acceleration Created page with '==Acceleration Factor== <br> <br> Most practitioners use the term acceleration factor to refer to the ratio of the life (or acceleration characteristic) between the use level and…'
• 18:5818:58, 12 January 2012 diff hist −778 Arrhenius Relationship →Acceleration Factor
• 18:5718:57, 12 January 2012 diff hist +1,916 N Template:Arrhenius formulation Created page with '==Formulation== The Arrhenius reaction rate equation is given by: <br> ::<math>R(T)=A{{e}^{-\tfrac{{{E}_{A}}}{K\cdot T}}}</math> <br> :where: <br> • <math>R</math> is the s…'
• 18:5618:56, 12 January 2012 diff hist −1,891 Arrhenius Relationship →Formulation
• 18:5418:54, 12 January 2012 diff hist +4,695 N Template:Ald mle Created page with '====MLE Parameter Estimation==== The parameters of the lognormal distribution can also be estimated using Maximum Likelihood Estimation (MLE). This general log-likelihood functio…'
• 18:5418:54, 12 January 2012 diff hist −4,683 Template:Alta ld →MLE Parameter Estimation
• 18:5418:54, 12 January 2012 diff hist −195 Template:Alta ld →Probability Plotting
• 18:5318:53, 12 January 2012 diff hist +2,127 N Template:Ald characteristics Created page with '===Characteristics=== :• The lognormal distribution is a distribution skewed to the right. :• The <math>pdf</math> starts at zero, increases to its mode, and decreases ther…'
• 18:5318:53, 12 January 2012 diff hist −2,104 Template:Alta ld →Characteristics
• 18:5118:51, 12 January 2012 diff hist +413 N Template:Ald failure rate Created page with '====Lognormal Failure Rate==== The lognormal failure rate is given by: <br> ::<math>\lambda (T)=\frac{f(T)}{R(T)}=\frac{\tfrac{1}{{T}'{{\sigma }_{{{T}'}}}\sqrt{2\pi }}{{e}^{-\tfr…'
• 18:5118:51, 12 January 2012 diff hist −393 Template:Alta ld statistical prop func →Lognormal Failure Rate
• 18:5118:51, 12 January 2012 diff hist +569 N Template:Ald rf Created page with '====Reliability Function==== For the lognormal distribution, the reliability for a mission of time <math>T</math> , starting at age 0, is given by: <br> ::<math>R(T)=\mathop{}_{…'
• 18:5118:51, 12 January 2012 diff hist −558 Template:Alta ld statistical prop func →Reliability Function
• 18:5118:51, 12 January 2012 diff hist +154 N Template:Ald mode Created page with '====The Mode==== :• The mode of the lognormal distribution is given by: <br> ::<math>\tilde{T}={{e}^{{{\bar{T}}^{\prime }}-\sigma _{{{T}'}}^{2}}}</math>'
• 18:5118:51, 12 January 2012 diff hist −142 Template:Alta ld statistical prop func →The Mode
• 18:5018:50, 12 January 2012 diff hist +137 N Template:Ald median Created page with '====The Median==== :• The median of the lognormal distribution is given by: <br> ::<math>\breve{T}={{e}^{{{\bar{T}}^{\prime }}}}</math>'
• 18:5018:50, 12 January 2012 diff hist −123 Template:Alta ld statistical prop func →The Median
• 18:5018:50, 12 January 2012 diff hist +583 N Template:Ald sd Created page with '====The Standard Deviation==== :• The standard deviation of the lognormal distribution, <math>{{\sigma }_{T}}</math> , is given by: ::<math>{{\sigma }_{T}}=\sqrt{\left( {{e}^{…'
• 18:5018:50, 12 January 2012 diff hist −573 Template:Alta ld statistical prop func →The Standard Deviation
• 18:5018:50, 12 January 2012 diff hist +510 N Template:Ald mean Created page with '====The Mean or MTTF==== :• The mean of the lognormal distribution, <math>\bar{T}</math> , is given by: ::<math>\bar{T}={{e}^{\bar{{T}'}+\tfrac{1}{2}\sigma _{{{T}'}}^{2}}}</ma…'
• 18:4918:49, 12 January 2012 diff hist −498 Template:Alta ld statistical prop func →The Mean or MTTF
• 18:4918:49, 12 January 2012 diff hist +2,412 N Template:Alta ld statistical prop func Created page with '===Statistical Properties Summary=== ====The Mean or MTTF==== :• The mean of the lognormal distribution, <math>\bar{T}</math> , is given by: ::<math>\bar{T}={{e}^{\bar{{T}'}+\…'
• 18:4918:49, 12 January 2012 diff hist −2,379 Template:Alta ld →Statistical Properties Summary
• 18:4818:48, 12 January 2012 diff hist +15,922 N Template:Alta ld Created page with '==The Lognormal Distribution== <br> The lognormal distribution is commonly used for general reliability analysis, cycles-to-failure in fatigue, material strengths and loading va…'
• 18:4818:48, 12 January 2012 diff hist −15,911 Distributions Used in Accelerated Testing →The Lognormal Distribution
• 18:4718:47, 12 January 2012 diff hist +5,449 N Template:Aw mle Created page with '==MLE Parameter Estimation== The parameters of the 2-parameter Weibull distribution can also be estimated using Maximum Likelihood Estimation (MLE). This log-likelihood function …'