net.maizegenetics.stats.statistics

Class ApproxFastChiSquareDistribution

GammaDistribution

net.maizegenetics.stats.statistics.ApproxFastChiSquareDistribution

public class ApproxFastChiSquareDistribution
extends GammaDistribution

chi-square distribution (distribution of sum of squares of n uniform random variables) (Parameter: n; mean: n; variance: 2*n) The chi-square distribution is a special case of the Gamma distribution (shape parameter = n/2.0, scale = 2.0).

Constructor Detail

ApproxFastChiSquareDistribution

public ApproxFastChiSquareDistribution(int maxX,
                                       int maxN)

Method Detail

pdf

public static double pdf(double x,
                         double n)

probability density function of the chi-square distribution

Parameters:

x - argument

n - degrees of freedom

Returns:

org.jetbrains.dokka.NodeRenderContent@3b9c1fcf: pdf value

cdf

public static double cdf(double x,
                         double n)

cumulative density function of the chi-square distribution

Parameters:

x - argument

n - degrees of freedom

Returns:

org.jetbrains.dokka.NodeRenderContent@1c611fc7: cdf value

cdfFastApprox

public double cdfFastApprox(double x,
                            double n)

cumulative density function of the chi-square distribution

Parameters:

x - argument

n - degrees of freedom

Returns:

org.jetbrains.dokka.NodeRenderContent@3b37aa81: cdf value

quantile

public static double quantile(double y,
                              double n)

quantile (inverse cumulative density function) of the chi-square distribution

Parameters:

n - degrees of freedom

Returns:

org.jetbrains.dokka.NodeRenderContent@7b003e04: icdf value

mean

public static double mean(double n)

mean of the chi-square distribution

Parameters:

n - degrees of freedom

Returns:

org.jetbrains.dokka.NodeRenderContent@203934cc: mean

variance

public static double variance(double n)

variance of the chi-square distribution

Parameters:

n - degrees of freedom

Returns:

org.jetbrains.dokka.NodeRenderContent@34b2882b: variance