TriangularDistribution Class

Class TriangularDistribution represents the triangular probability distribution.

Inheritance Hierarchy

SystemObject
CenterSpace.NMath.CoreProbabilityDistribution
CenterSpace.NMath.CoreTriangularDistribution

Namespace: CenterSpace.NMath.Core
Assembly: NMath (in NMath.dll) Version: 7.4

Syntax

C++

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[SerializableAttribute]
public class TriangularDistribution : ProbabilityDistribution, 
	IRandomVariableMoments

<SerializableAttribute>
Public Class TriangularDistribution
	Inherits ProbabilityDistribution
	Implements IRandomVariableMoments

[SerializableAttribute]
public ref class TriangularDistribution : public ProbabilityDistribution, 
	IRandomVariableMoments

[<SerializableAttribute>]
type TriangularDistribution =  
    class
        inherit ProbabilityDistribution
        interface IRandomVariableMoments
    end

The TriangularDistribution type exposes the following members.

Constructors

	Name	Description
	TriangularDistribution	Default constructor. Constructs a TriangularDistribution with lower limit 0, upper limit 1, and mode 0.5.
	TriangularDistribution(Double, Double)	Constructs a TriangularDistribution instance with the given upper and lower limits and mode equal to their midpoint.
	TriangularDistribution(Double, Double, Double)	Constructs a TriangularDistribution with the given parameters.

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Properties

	Name	Description
	Kurtosis	Gets the kurtosis, a measure of the degree of peakednesss of the distribution.
	LowerLimit	Gets the lower limit of the distribution.
	Mean	Gets the mean of the distribution.
	Mode	Gets the mode of the distribution.
	Skewness	Gets the skewness, a measure of the degree of asymmetry of this distribution.
	UpperLimit	Gets the upper limit of the distribution.
	Variance	Gets the variance of the distribution. Remarks The variance of the distribution is the standard deviation squared.

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Methods

	Name	Description
	CDF	Returns the cumulative density function evaluated at a given value. (Overrides ProbabilityDistributionCDF(Double).)
	Clone	Creates a deep copy of this TriangularDistribution. (Overrides ProbabilityDistributionClone.)
	InverseCDF	Returns the inverse cumulative density function evaluated a the given value. (Overrides ProbabilityDistributionInverseCDF(Double).)
	InverseCdfUsingBracket	Uses a bracketing method to evaluate the inverse of cumulative distribution functions. (Inherited from ProbabilityDistribution.)
	InverseDiscreteCdfUsingBracket	Uses a bracketing method to evaluate the inverse of cumulative distribution functions for discrete distributions. (Inherited from ProbabilityDistribution.)
	OnDeserialized	Constructs a TriangularDistribution instance from serialization information.
	PDF	Returns the probability density function evaluated at a given value. (Overrides ProbabilityDistributionPDF(Double).)
	SetParameters	Sets the parameter for this distribution.
	ToString	Returns a formatted string representation of this distribution. (Overrides ProbabilityDistributionToString.)

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Remarks

The triangular distribution is defined by three parameters, a lower limit a, an upper limit b, and number c, between a and b, called the mode. the probability density function (PDF) has the shape of a triangle in the X/Y plane with verices (a, 0), (b, 0), and (c, y), where y is chosen so that the area of the triangle is 1.

Reference

CenterSpace.NMath.Core Namespace