ncx2pdf

Noncentral chi-square probability density function

Syntax

Y = ncx2pdf(X,V,DELTA)

Description

Y = ncx2pdf(X,V,DELTA)computes the noncentral chi-square pdf at each of the values inXusing the corresponding degrees of freedom inVand positive noncentrality parameters inDELTA. Vector or matrix inputs forX,V, andDELTAmust have the same size, which is also the size ofY. A scalar input forX,V, orDELTAis expanded to a constant array with the same dimensions as the other inputs.

Some texts refer to this distribution as the generalized Rayleigh, Rayleigh-Rice, or Rice distribution.

Examples

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Compute Noncentral Chi-Square Distribution pdf

Open Live Script

Compute the pdf of a noncentral chi-square distribution with degrees of freedomV = 4and noncentrality parameterDELTA = 2. For comparison, also compute the pdf of a chi-square distribution with the same degrees of freedom.

x = (0:0.1:10)'; ncx2 = ncx2pdf(x,4,2); chi2 = chi2pdf(x,4);

Plot the pdf of the noncentral chi-square distribution on the same figure as the pdf of the chi-square distribution.

figure; plot(x,ncx2,'b-','LineWidth',2) holdonplot(x,chi2,'g--','LineWidth',2) legend('ncx2','chi2')

References

[1] Johnson, N., and S. Kotz.Distributions in Statistics: Continuous Univariate Distributions-2.Hoboken, NJ: John Wiley & Sons, Inc., 1970, pp. 130–148.

ncx2pdf

Syntax

Description

Examples

Compute Noncentral Chi-Square Distribution pdf

References

See Also

Topics

统计和机器Learning Toolbox Documentation

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