High Quality Content by WIKIPEDIA articles! In probability theory and statistics, the specific name generalized chi-square distribution (also generalized chi-squared distribution) arises in relation to one particular family of variants of the chi-square distribution. There are several other such variants for which the same term is sometimes used, or which clearly are generalizations of the chi-squared distribution, and which are treated elsewhere: some are special cases of the family discussed here, for example the noncentral chi-square distribution and the gamma distribution, while the generalized gamma distribution is outside this family.

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