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In probability theory and statistics, the generalized chi-squared distribution (or generalized chi-square distribution) is the distribution of a quadratic form of a multinormal variable (normal vector), or a linear combination of different normal variables and squares of normal variables. Equivalently, it is also a linear sum of independent noncentral chi-square variables and a normal variable. There are several other such generalizations for which the same term is sometimes used; some of them are special cases of the family discussed here, for example the gamma distribution.

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  • Generalized chi-squared distribution (en)
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  • In probability theory and statistics, the generalized chi-squared distribution (or generalized chi-square distribution) is the distribution of a quadratic form of a multinormal variable (normal vector), or a linear combination of different normal variables and squares of normal variables. Equivalently, it is also a linear sum of independent noncentral chi-square variables and a normal variable. There are several other such generalizations for which the same term is sometimes used; some of them are special cases of the family discussed here, for example the gamma distribution. (en)
name
  • Generalized chi-squared distribution (en)
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  • http://commons.wikimedia.org/wiki/Special:FilePath/Generalized_chi-square_PDF.svg
  • http://commons.wikimedia.org/wiki/Special:FilePath/Generalized_chi-square_cumulative_distribution_function.svg
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  • density (en)
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  • In probability theory and statistics, the generalized chi-squared distribution (or generalized chi-square distribution) is the distribution of a quadratic form of a multinormal variable (normal vector), or a linear combination of different normal variables and squares of normal variables. Equivalently, it is also a linear sum of independent noncentral chi-square variables and a normal variable. There are several other such generalizations for which the same term is sometimes used; some of them are special cases of the family discussed here, for example the gamma distribution. (en)
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  • , mean of normal term (en)
  • , sd of normal term (en)
  • , vector of weights of noncentral chi-square components (en)
  • , vector of degrees of freedom of noncentral chi-square components (en)
  • , vector of non-centrality parameters of chi-square components (en)
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