Template:Ipl exponential: Difference between revisions

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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|250px|IPL-exponential failure rate function at different stress levels.]]
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{{ipl ex stat prop sum}}
 
{{ipl ex rel function}}
 
===Parameter Estimation===
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{{ipl ex mle}}

Latest revision as of 23:00, 15 August 2012

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