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.
Distribution name
|
(standard) Fatigue
distribution
|
Common notation
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|
Parameters
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=
shape parameter ()
|
Domain
|
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Probability density
function
|
where
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Cumulative distribution
function
|
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Mean
|
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Variance
|
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Other comments
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Its quantile function, i.e. the inverse of its cdf, is:
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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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