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The uniform (discrete) distribution

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The uniform (discrete) distribution involves equally probable outcomes that are spaced uniform intervals apart.

 

Distribution name

Uniform (discrete) distribution

Common notation

Parameters

 = lower limit

 = upper limit ()

 = step size ( where  is a positive integer)

Support

Probability mass function

Cumulative distribution function

Mean

Variance

Skewness

(Excess) kurtosis

Characteristic function

Other comments

The median of this distribution is the same as its mean.

 

Nematrian web functions

 

Functions relating to the above distribution may be accessed via the Nematrian web function library by using a DistributionName of “uniform (discrete)”. For details of other supported probability distributions see here.

 


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