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Noncentral Chi-Square Distribution

Evaluate and generate random samples from noncentral chi-square distribution

Statistics and Machine Learning Toolbox™ offers multiple ways to work with the noncentral chi-square distribution.

  • Use distribution-specific functions with specified distribution parameters. The functions can accept parameters of multiple noncentral chi-square distributions.

  • Use the generic distribution functions with the specified distribution name "Noncentral Chi-square" and corresponding parameters.

To learn about the noncentral chi-square distribution, see Noncentral Chi-Square Distribution.


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ncx2cdfNoncentral chi-square cumulative distribution function
ncx2pdfNoncentral chi-square probability density function
ncx2invNoncentral chi-square inverse cumulative distribution function
ncx2statNoncentral chi-square mean and variance
ncx2rndNoncentral chi-square random numbers
cdfCumulative distribution function
icdfInverse cumulative distribution function
pdfProbability density function
randomRandom numbers


  • Noncentral Chi-Square Distribution

    The noncentral chi-square distribution is a more general case of the chi-square distribution, with applications in thermodynamics and signal processing. The literature in these areas may refer to it as the Rician Distribution or generalized Rayleigh Distribution.