Template:Arrhenius-Weibull: Difference between revisions

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{| style="border-bottom: rgb(255,229,184) 1px solid; border-left: rgb(255,229,184) 1px solid; background-color: rgb(255,229,184); color: rgb(0,0,0); border-top: rgb(255,229,184) 1px solid; border-right: rgb(255,229,184) 1px solid" border="1" cellspacing="0" cellpadding="4" align="center"
#REDIRECT [[Arrhenius_Relationship#Arrhenius-Weibull]]
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| bgcolor="#ffe5b8" valign="middle" colspan="2" align="center" | {{font|Arrhenius-Weibull|12|Tahoma|bold}}
|-
| bgcolor="#ffe5b8" colspan="2" |
{| border="1" cellspacing="0" cellpadding="2" width="100%"
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| bgcolor="#f0f0ed" valign="middle" align="center" | Model 
| bgcolor="#f0f0ed" valign="middle" align="center" |  Life Distribution
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| rowspan="3" | {{arrhWeibullpdf}}
| {{weibull2pdf}}
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| bgcolor="#f0f0ed" valign="middle" align="center" | Life Stress Relationship
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| {{arrhenius}}
|}
 
|-
| valign="middle" align="center" | Type
| bgcolor="#ffffff" | Exponential LSR Arrhenius-Weibull MLE
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| valign="middle" align="center" | Reliability
| bgcolor="#ffffff" | {{ArrhWeibullrel}}
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| valign="middle" align="center" | Reliable Life
| bgcolor="#ffffff" | {{ArrhWeibullTR}}
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| valign="middle" align="center" | BX Life
| bgcolor="#ffffff" | <math>{BX}=C\cdot {{e}^{\tfrac{B}{V}}}{{\left\{ -\ln \left[1-{\frac{X}{100}}\right] \right\}}^{\tfrac{1}{\beta }}}</math>
|-
| valign="middle" align="center" | Failure Rate
| bgcolor="#ffffff" | <math>\lambda \left( T,V \right)=\frac{f\left( T,V \right)}{R\left( T,V \right)}=\frac{\beta }{C\cdot {{e}^{\tfrac{B}{V}}}}{{\left( \frac{T}{C\cdot {{e}^{\tfrac{B}{V}}}} \right)}^{\beta -1}}</math>
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| valign="middle" align="center" | Mean or MTTF
| bgcolor="#ffffff" | <math>\overline{T}=C\cdot {{e}^{\tfrac{B}{V}}}\cdot \Gamma \left( \frac{1}{\beta }+1 \right)</math>
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| valign="middle" align="center" | Median
| bgcolor="#ffffff" | <math>\breve{T}=C\cdot {{e}^{\tfrac{B}{V}}}{{\left( \ln 2 \right)}^{\tfrac{1}{\beta }}}</math>
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| valign="middle" align="center" | Mode
| bgcolor="#ffffff" | <math>\tilde{T}=C\cdot {{e}^{\tfrac{B}{V}}}{{\left( 1-\frac{1}{\beta } \right)}^{\tfrac{1}{\beta }}}</math>
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| valign="middle" align="center" | Standard deviation
| bgcolor="#ffffff" | <math>{{\sigma }_{T}}=C\cdot {{e}^{\tfrac{B}{V}}}\cdot \sqrt{\Gamma \left( \frac{2}{\beta }+1 \right)-{{\left( \Gamma \left( \frac{1}{\beta }+1 \right) \right)}^{2}}}</math>
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| valign="middle" colspan="2" align="center" | [[Arrhenius-Weibull_MLE|MLE Equations]]
|}

Latest revision as of 04:24, 16 August 2012

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