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| ==IPL-Exponential==
| | #REDIRECT [[Inverse_Power_Law_(IPL)_Relationship#IPL-Exponential]] |
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| The IPL-exponential model can be derived by setting <math>m=L(V)</math> in the exponential <math>pdf</math>, yielding the following IPL-exponential <math>pdf</math> :
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| ::<math>f(t,V)=K{{V}^{n}}{{e}^{-K{{V}^{n}}t}}</math>
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| Note that this is a 2-parameter model. The failure rate (the parameter of the exponential distribution) of the model is simply <math>\lambda =K{{V}^{n}},</math> and is only a function of stress.
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| [[Image:ALTA8.4.png|center|500px|IPL-exponential failure rate function at different stress levels.]]
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| {{ipl ex stat prop sum}}
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| {{ipl ex rel function}}
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| ===Parameter Estimation===
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| {{ipl ex mle}}
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