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Triangular Class

Triangular distribution. For details, see Wikipedia - Triangular distribution.
Inheritance Hierarchy
SystemObject
  Altaxo.Calc.DistributionsTriangular

Namespace: Altaxo.Calc.Distributions
Assembly: AltaxoCore (in AltaxoCore.dll) Version: 4.8.3179.0 (4.8.3179.0)
Syntax
C#
public class Triangular : IContinuousDistribution, IUnivariateDistribution, 
	IDistribution

The Triangular type exposes the following members.

Constructors
 NameDescription
Public methodTriangular(Double, Double, Double) Initializes a new instance of the Triangular class with the given lower bound, upper bound and mode.
Public methodTriangular(Double, Double, Double, Random) Initializes a new instance of the Triangular class with the given lower bound, upper bound and mode.
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Properties
 NameDescription
Public propertyEntropy Gets the entropy of the distribution.
Public propertyLowerBound Gets the lower bound of the distribution.
Public propertyMaximum Gets the maximum of the distribution.
Public propertyMean Gets the mean of the distribution.
Public propertyMedian Gets the median of the distribution.
Public propertyMinimum Gets the minimum of the distribution.
Public propertyMode Gets or sets the mode of the distribution.
Public propertyRandomSource Gets or sets the random number generator which is used to draw random samples.
Public propertySkewness Gets the skewness of the distribution.
Public propertyStdDev Gets the standard deviation of the distribution.
Public propertyUpperBound Gets the upper bound of the distribution.
Public propertyVariance Gets the variance of the distribution.
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Methods
 NameDescription
Public methodStatic memberCDF Computes the cumulative distribution (CDF) of the distribution at x, i.e. P(X ≤ x).
Public methodCumulativeDistribution Computes the cumulative distribution (CDF) of the distribution at x, i.e. P(X ≤ x).
Public methodDensity Computes the probability density of the distribution (PDF) at x, i.e. ∂P(X ≤ x)/∂x.
Public methodDensityLn Computes the log probability density of the distribution (lnPDF) at x, i.e. ln(∂P(X ≤ x)/∂x).
Public methodEqualsDetermines whether the specified object is equal to the current object.
(Inherited from Object)
Protected methodFinalizeAllows an object to try to free resources and perform other cleanup operations before it is reclaimed by garbage collection.
(Inherited from Object)
Public methodGetHashCodeServes as the default hash function.
(Inherited from Object)
Public methodGetTypeGets the Type of the current instance.
(Inherited from Object)
Public methodStatic memberInvCDF Computes the inverse of the cumulative distribution function (InvCDF) for the distribution at the given probability. This is also known as the quantile or percent point function.
Public methodInverseCumulativeDistribution Computes the inverse of the cumulative distribution function (InvCDF) for the distribution at the given probability. This is also known as the quantile or percent point function.
Public methodStatic memberIsValidParameterSet Tests whether the provided values are valid parameters for this distribution.
Protected methodMemberwiseCloneCreates a shallow copy of the current Object.
(Inherited from Object)
Public methodStatic memberPDF Computes the probability density of the distribution (PDF) at x, i.e. ∂P(X ≤ x)/∂x.
Public methodStatic memberPDFLn Computes the log probability density of the distribution (lnPDF) at x, i.e. ln(∂P(X ≤ x)/∂x).
Public methodSample Generates a sample from the Triangular distribution.
Public methodStatic memberSample(Double, Double, Double) Generates a sample from the Triangular distribution.
Public methodStatic memberSample(Random, Double, Double, Double) Generates a sample from the Triangular distribution.
Public methodSamples Generates a sequence of samples from the Triangular distribution.
Public methodSamples(Double) Fills an array with samples generated from the distribution.
Public methodStatic memberSamples(Double, Double, Double) Generates a sequence of samples from the Triangular distribution.
Public methodStatic memberSamples(Double, Double, Double, Double) Fills an array with samples generated from the distribution.
Public methodStatic memberSamples(Random, Double, Double, Double) Generates a sequence of samples from the Triangular distribution.
Public methodStatic memberSamples(Random, Double, Double, Double, Double) Fills an array with samples generated from the distribution.
Public methodToString A string representation of the distribution.
(Overrides ObjectToString)
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Remarks

The distribution will use the Random by default. Users can get/set the random number generator by using the RandomSource property.

The statistics classes will check whether all the incoming parameters are in the allowed range. This might involve heavy computation. Optionally, by setting Control.CheckDistributionParameters to false, all parameter checks can be turned off.

See Also