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- W4226253153 abstract "In this paper, we consider the function fp(t) = ? 2p?2(?2pt + p;p), where ?2(x;n) defined by ?2(x;p) = 2?p/2/?(p/2) e?x/2xp/2?1, is the density function of a ?2-distribution with n degrees of freedom. The asymptotic expansion of fp(t) for p ? ?, where p is not necessarily an integer, is obtained by an application of the standard asymptotics of ln ?(x). Two different methods of obtaining the coefficients in the asymptotic expansion are presented, which involve the use of the Bell polynomials." @default.
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- W4226253153 date "2022-01-01" @default.
- W4226253153 modified "2023-10-18" @default.
- W4226253153 title "Complete asymptotic expansions related to the probability density function of the χ2-distribution" @default.
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- W4226253153 doi "https://doi.org/10.2298/aadm210720015c" @default.
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