CauchyDistribution Class

[SerializableAttribute]
public class CauchyDistribution : ContinuousDistribution

<SerializableAttribute>
Public Class CauchyDistribution
	Inherits ContinuousDistribution

[SerializableAttribute]
public ref class CauchyDistribution : public ContinuousDistribution

[<SerializableAttribute>]
type CauchyDistribution = 
    class
        inherit ContinuousDistribution
    end

Inheritance

Object  →  Distribution  →  ContinuousDistribution  →  CauchyDistribution

The Cauchy distribution looks similar to the Normal distribution, but has a much heavier tail. It has some unusual properties. The mean is undefined, and the variance is infinite.

The Cauchy distribution is sometimes called the Lorentz distribution.

The quotient X/Y of two variables with a Normal distribution follow a Cauchy distribution.

When shots are fired from a point in a random direction, the points of impact on a straight wall have a Cauchy distribution.

Reference