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  • Extreme.Statistics.Distributions Namespace
    • BernoulliDistribution Class
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  • CauchyDistribution Class
    • Members
    • CauchyDistribution Constructor
    • Methods
    • Properties
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CauchyDistribution Class

Members  Example  See Also 
Represents the Cauchy distribution.

Namespace:  Extreme.Statistics.Distributions
Assembly:  Extreme.Numerics.Net20 (in Extreme.Numerics.Net20.dll) Version: 3.6.10055.0 (3.6.10077.0)

Syntax

C#
[SerializableAttribute]
public class CauchyDistribution : ContinuousDistribution
Visual Basic (Declaration)
<SerializableAttribute> _
Public Class CauchyDistribution _
	Inherits ContinuousDistribution
Visual C++
[SerializableAttribute]
public ref class CauchyDistribution : public ContinuousDistribution
F#
[<SerializableAttribute>]
type CauchyDistribution =  
    class
        inherit ContinuousDistribution
    end

Remarks

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.

Examples

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.

Inheritance Hierarchy

System..::.Object
  Extreme.Statistics.Distributions..::.Distribution
    Extreme.Statistics.Distributions..::.ContinuousDistribution
      Extreme.Statistics.Distributions..::.CauchyDistribution

See Also

CauchyDistribution Members
Extreme.Statistics.Distributions Namespace

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