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- W2129016822 abstract "Abstract : For independent chi-square variables x squared sub m and x squared sub n with m and n degrees of freedom, respectively, we consider the quadratic form where the positive ci are distinct. This paper gives exact finite expressions for the distribution of Q in terms of available functions such as the distribution function of chi-square random variables, modified Bessel Functions, Dawson's integral. These formulas are useful for checking the accuracy of approximations and tables of the distribution of Q and provide a simple alternative in their absence. For large m and n, reasonable approximations to the distribution of Q are available. For the general quadratic form Williams (1984) compares algorithms for truncations of infinite series expansions of the distribution." @default.
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- W2129016822 date "1988-05-01" @default.
- W2129016822 modified "2023-09-27" @default.
- W2129016822 title "DISTRIBUTIONS OF QUADRATIC FORMS" @default.
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- W2129016822 doi "https://doi.org/10.1111/j.1467-842x.1988.tb00470.x" @default.
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