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The Burr distribution

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Distribution name

Burr

Common notation

 or

Parameters

 = shape parameter ()

 = shape parameter ()

 = shape parameter ()

Domain

Probability density function

Cumulative distribution function

Mean

Variance

Other comments

The Burr distribution is also known as the Burr Type XII distribution or the Singh-Maddala distribution (sometimes also called the generalised log-logistic distribution).

 

Its non-central moments are:

 

Nematrian web functions

 

Functions relating to the above distribution may be accessed via the Nematrian web function library by using a DistributionName of “burr”. 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 “burr5” ”, see also including additional shift and scale parameters. For details of other supported probability distributions see here.

 


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