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Chi Class

Continuous Univariate Chi distribution. This distribution is a continuous probability distribution. The distribution usually arises when a k-dimensional vector's orthogonal components are independent and each follow a standard normal distribution. The length of the vector will then have a chi distribution. Wikipedia - Chi distribution.
Inheritance Hierarchy
SystemObject
  Altaxo.Calc.DistributionsChi

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

The Chi type exposes the following members.

Constructors
 NameDescription
Public methodChi(Double) Initializes a new instance of the Chi class.
Public methodChi(Double, Random) Initializes a new instance of the Chi class.
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Properties
 NameDescription
Public propertyDegreesOfFreedom Gets the degrees of freedom (k) of the Chi distribution. Range: k > 0.
Public propertyEntropy Gets the entropy 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 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 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 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 Chi distribution.
Public methodStatic memberSample(Int32) Generates a sample from the distribution.
Public methodStatic memberSample(Random, Int32) Generates a sample from the distribution.
Public methodSamples Generates a sequence of samples from the Chi distribution.
Public methodSamples(Double) Fills an array with samples generated from the distribution.
Public methodStatic memberSamples(Int32) Generates a sequence of samples from the distribution.
Public methodStatic memberSamples(Double, Int32) Fills an array with samples generated from the distribution.
Public methodStatic memberSamples(Random, Int32) Generates a sequence of samples from the distribution.
Public methodStatic memberSamples(Random, Double, Int32) Fills an array with samples generated from the distribution.
Public methodToString A string representation of the distribution.
(Overrides ObjectToString)
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See Also