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 | 
 | 
 
  | 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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