Template:LSRstats: Difference between revisions

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| align="center" valign="middle"  | Type  
| align="center" valign="middle"  | Type  
| bgcolor="white" |Exponential LSR
| bgcolor="white" |{{{{5}}}
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| align="center" valign="middle" | Reliability  
| align="center" valign="middle" | Reliability  
| bgcolor="white" | <math>R(T,V)={{e}^{-{{\left( \tfrac{T}{C\cdot {{e}^{\tfrac{B}{V}}}} \right)}^{\beta }}}}</math>
| bgcolor="white" | {{{{6}}}
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| align="center" valign="middle"  | Reliable Life  
| align="center" valign="middle"  | Reliable Life  
| bgcolor="white" |<math>{T(R)}=C\cdot {{e}^{\tfrac{B}{V}}}{{\left\{ -\ln \left[R\right] \right\}}^{\tfrac{1}{\beta }}}</math>
| bgcolor="white" |{{{{7}}}
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| align="center" valign="middle"  | BX Life  
| align="center" valign="middle"  | BX Life  
| bgcolor="white" |<math>{BX}=C\cdot {{e}^{\tfrac{B}{V}}}{{\left\{ -\ln \left[1-{\frac{X}{100}}\right] \right\}}^{\tfrac{1}{\beta }}}</math>
| bgcolor="white" |{{{{8}}}
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| align="center" valign="middle"  | Failure Rate  
| align="center" valign="middle"  | Failure Rate  
| bgcolor="white" |<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>
| bgcolor="white" |{{{{9}}}
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| align="center" valign="middle"  | Mean or MTTF  
| align="center" valign="middle"  | Mean or MTTF  
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| align="center" valign="middle"  | Median  
| align="center" valign="middle"  | Median  
| bgcolor="white" |<math>\breve{T}=C\cdot {{e}^{\tfrac{B}{V}}}{{\left( \ln 2 \right)}^{\tfrac{1}{\beta }}}</math>
| bgcolor="white" |{{{{10}}}
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| align="center" valign="middle"  | Mode  
| align="center" valign="middle"  | Mode  
| bgcolor="white" |<math>\tilde{T}=C\cdot {{e}^{\tfrac{B}{V}}}{{\left( 1-\frac{1}{\beta } \right)}^{\tfrac{1}{\beta }}}</math>
| bgcolor="white" |{{{{11}}}
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| align="center" valign="middle"  | Standard deviation  
| align="center" valign="middle"  | Standard deviation  
| bgcolor="white)" |<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>
| bgcolor="white" |{{{{12}}}
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Revision as of 14:26, 16 July 2011

{{{1}}}
Model Life Distribution
{{{2}}} {{{{3}}}
Life Stress Relationship
{{{{4}}}
Type {{{{5}}}
Reliability {{{{6}}}
Reliable Life {{{{7}}}
BX Life {{{{8}}}
Failure Rate {{{{9}}}
Mean or MTTF [math]\displaystyle{ \overline{T}=C\cdot {{e}^{\tfrac{B}{V}}}\cdot \Gamma \left( \frac{1}{\beta }+1 \right) }[/math]
Median {{{{10}}}
Mode {{{{11}}}
Standard deviation {{{{12}}}