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| ====Reliability Function====
| | #REDIRECT [[Distributions_Used_in_Accelerated_Testing#The_Lognormal_Distribution]] |
| For the lognormal distribution, the reliability for a mission of time <math>T</math> , starting at age 0, is given by:
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| ::<math>R(T)=\int_{T}^{\infty }f(t)dt</math>
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| or:
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| ::<math>R(T)=\int_{{{T}^{^{\prime }}}}^{\infty }\frac{1}{{{\sigma }_{{{T}'}}}\sqrt{2\pi }}{{e}^{-\tfrac{1}{2}{{\left( \tfrac{t-\overline{{{T}'}}}{{{\sigma }_{{{T}'}}}} \right)}^{2}}}}dt</math>
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| There is no closed form solution for the lognormal reliability function. Solutions can be obtained via the use of standard normal tables.
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