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The Degenerate distribution

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The degenerate distribution characterises a distribution involving a single outcome. It can be viewed as the limiting case of many common distributions in which the scale parameter tends to zero, so the distribution function concentrates onto a single point. It is also called the Dirac delta function.

 

Distribution name

Degenerate distribution (can also be viewed as a discrete distribution)

Common notation

Parameters

 = location parameter

Domain

Probability density function

Cumulative distribution function

Mean

Variance

Skewness

Does not exist

(Excess) kurtosis

Does not exist

Characteristic function

 

Nematrian web functions

 

Given its degenerate form, no functions relating to the above distribution are accessible via the Nematrian web function library. For details of other supported probability distributions see here.

 


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