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The Fatigue distribution

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The fatigue distribution, also known as the Birnbaum-Saunders distribution or the fatigue life distribution is used extensively to model failure times.

 


[SmartChart][SmartChart][SmartChart]

 

Distribution name

(standard) Fatigue distribution

Common notation

Parameters

 = shape parameter ()

Domain

Probability density function

where

Cumulative distribution function

Mean

Variance

Other comments

Its quantile function, i.e. the inverse of its cdf, is:

 

Nematrian web functions

 

Functions relating to the above distribution may be accessed via the Nematrian web function library by using a DistributionName of “fatigue”. Functions relating to a generalised version of this distribution including additional location (i.e. shift) and scale parameters may be accessed by using a DistributionName of “fatigue3”, see also including additional shift and scale parameters. For details of other supported probability distributions see here.

 


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