Template:LSRstats

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Model Life Distribution {{{2}}} {{{{3}}} Life Stress Relationship [math]\displaystyle{ L(V)=C{{e}^{\tfrac{B}{V}}} }[/math]
Type	Exponential LSR
Reliability	[math]\displaystyle{ R(T,V)={{e}^{-{{\left( \tfrac{T}{C\cdot {{e}^{\tfrac{B}{V}}}} \right)}^{\beta }}}} }[/math]
Reliable Life	[math]\displaystyle{ {T(R)}=C\cdot {{e}^{\tfrac{B}{V}}}{{\left\{ -\ln \left[R\right] \right\}}^{\tfrac{1}{\beta }}} }[/math]
BX Life	[math]\displaystyle{ {BX}=C\cdot {{e}^{\tfrac{B}{V}}}{{\left\{ -\ln \left[1-{\frac{X}{100}}\right] \right\}}^{\tfrac{1}{\beta }}} }[/math]
Failure Rate	[math]\displaystyle{ \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]\displaystyle{ \overline{T}=C\cdot {{e}^{\tfrac{B}{V}}}\cdot \Gamma \left( \frac{1}{\beta }+1 \right) }[/math]
Median	[math]\displaystyle{ \breve{T}=C\cdot {{e}^{\tfrac{B}{V}}}{{\left( \ln 2 \right)}^{\tfrac{1}{\beta }}} }[/math]
Mode	[math]\displaystyle{ \tilde{T}=C\cdot {{e}^{\tfrac{B}{V}}}{{\left( 1-\frac{1}{\beta } \right)}^{\tfrac{1}{\beta }}} }[/math]
Standard deviation	[math]\displaystyle{ {{\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]