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| ===IPL-Exponential Reliability Function===
| | #REDIRECT [[Inverse_Power_Law_(IPL)_Relationship#IPL-Exponential]] |
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| The IPL-exponential reliability function is given by:
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| ::<math>R(T,V)={{e}^{-TK{{V}^{n}}}}</math>
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| This function is the complement of the IPL-exponential cumulative distribution function:
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| ::<math>R(T,V)=1-Q(T,V)=1-\int_{0}^{T}f(T,V)dT</math>
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| or:
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| ::<math>R(T,V)=1-\int_{0}^{T}K{{V}^{n}}{{e}^{-K{{V}^{n}}T}}dT={{e}^{-K{{V}^{n}}T}}</math>
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| <br>
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| {{ipl ex conditional rel}}
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| {{ipl ex reliable life}}
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