Template:LSRstats: Difference between revisions

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{| border="1" cellpadding="4" cellspacing="0" align="center"
[[Category: For Deletion]]
|-
| colspan="2" align="center" valign="middle" bgcolor="#ff9900" | Arrhenious-Weibull
|-
| colspan="2" |
{| width="0" border="1" cellpadding="2" cellspacing="0"
|-
| align="center" valign="middle" bgcolor="#99ccff" | Model 
| align="center" valign="middle" bgcolor="#99ccff" |  Life Distribution
|-
| rowspan="3" | <math>f(t,V)=\frac{\beta }{C\cdot {{e}^{\tfrac{B}{V}}}}{{\left( \frac{t}{C\cdot {{e}^{\tfrac{B}{V}}}} \right)}^{\beta -1}}{{e}^{-{{\left( \tfrac{t}{C\cdot {{e}^{\tfrac{B}{V}}}} \right)}^{\beta }}}}</math>
| {{weibull2pdf}}
|-
| align="center" valign="top" bgcolor="#99ccff" | Life Stress Relationship
|-
| <math>L(V)=C{{e}^{\tfrac{B}{V}}}</math>
|}
 
|-
| Type
| Exponential LSR
|-
| Reliability
|<math>R(T,V)={{e}^{-{{\left( \tfrac{T}{C\cdot {{e}^{\tfrac{B}{V}}}} \right)}^{\beta }}}}</math>
|-
| Reliable Life
|<math>{{t}_{R}}=C\cdot {{e}^{\tfrac{B}{V}}}{{\left\{ -\ln \left[ R\left( {{t}_{R}},V \right) \right] \right\}}^{\tfrac{1}{\beta }}}</math>
|-
| BX Life
|<math>{BX}=C\cdot {{e}^{\tfrac{B}{V}}}{{\left\{ -\ln \left[ R\left( {{t}_{R}},V \right) \right] \right\}}^{\tfrac{1}{\beta }}}</math>
|-
| Failure Rate
| <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>
|-
| Mean or MTTF
|<math>\overline{T}=C\cdot {{e}^{\tfrac{B}{V}}}\cdot \Gamma \left( \frac{1}{\beta }+1 \right)</math>
|-
| Median
| <math>\breve{T}=C\cdot {{e}^{\tfrac{B}{V}}}{{\left( \ln 2 \right)}^{\tfrac{1}{\beta }}}</math>
|-
| Mode
|<math>\tilde{T}=C\cdot {{e}^{\tfrac{B}{V}}}{{\left( 1-\frac{1}{\beta } \right)}^{\tfrac{1}{\beta }}}</math>
|-
| Standard deviation
|<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>
|}

Latest revision as of 23:45, 24 June 2015

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