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The Pareto distribution

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Distribution name

Pareto distribution

Common notation

Parameters

 = shape parameter ()

 = scale parameter ()

Domain

Probability density function

Cumulative distribution function

Mean

Variance

Skewness

(Excess) kurtosis

Other comments

Also known as the Pareto distribution of the second kind in which case the Pareto distribution of the first kind has ,  and .

 

Nematrian web functions

 

Functions relating to the above distribution may be accessed via the Nematrian web function library by using a DistributionName of “pareto”. Functions relating to a generalised version of this distribution including an additional location (i.e. shift) parameter may be accessed by using a DistributionName of “pareto3”, see also including additional shift and scale parameters. For details of other supported probability distributions see here.

 


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