Template:Normal reliable life: Difference between revisions
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(Created page with '===The Normal Reliable Life=== Since there is no closed-form solution for the normal reliability function, there will also be no closed-form solution for the normal reliable lif…') |
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Since there is no closed-form solution for the normal reliability function, there will also be no closed-form solution for the normal reliable life. To determine the normal reliable life, one must solve: | Since there is no closed-form solution for the normal reliability function, there will also be no closed-form solution for the normal reliable life. To determine the normal reliable life, one must solve: | ||
::<math>R(T)=\int_{T}^{\infty }\frac{1}{{{\sigma | ::<math>R(T)=\int_{T}^{\infty }\frac{1}{{{\sigma }}\sqrt{2\pi }}{{e}^{-\tfrac{1}{2}{{\left( \tfrac{t-\mu }{{{\sigma }}} \right)}^{2}}}}dt</math> | ||
for <math>T</math> . | |||
Revision as of 18:03, 10 February 2012
The Normal Reliable Life
Since there is no closed-form solution for the normal reliability function, there will also be no closed-form solution for the normal reliable life. To determine the normal reliable life, one must solve:
- [math]\displaystyle{ R(T)=\int_{T}^{\infty }\frac{1}{{{\sigma }}\sqrt{2\pi }}{{e}^{-\tfrac{1}{2}{{\left( \tfrac{t-\mu }{{{\sigma }}} \right)}^{2}}}}dt }[/math]
for [math]\displaystyle{ T }[/math] .