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]](I/FatigueDistribution_files/image001.gif)
![[SmartChart]](I/FatigueDistribution_files/image002.gif)
![[SmartChart]](I/FatigueDistribution_files/image003.gif)
Distribution name
|
(standard) Fatigue
distribution
|
Common notation
|
![](I/FatigueDistribution_files/image004.png)
|
Parameters
|
=
shape parameter ( )
|
Domain
|
![](I/FatigueDistribution_files/image007.png)
|
Probability density
function
|
![](I/FatigueDistribution_files/image008.png)
where ![](I/FatigueDistribution_files/image009.png)
|
Cumulative distribution
function
|
![](I/FatigueDistribution_files/image010.png)
|
Mean
|
![](I/FatigueDistribution_files/image011.png)
|
Variance
|
![](I/FatigueDistribution_files/image012.png)
|
Other comments
|
Its quantile function, i.e. the inverse of its cdf, is:
![](I/FatigueDistribution_files/image013.png)
|
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.
NAVIGATION LINKS
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