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Zbl 0801.62054
Wei, Gaoyuan; Eichinger, B.E.
Asymptotic expansions of some matrix argument hypergeometric functions, with applications to macromolecules. (English)
[J] Ann. Inst. Stat. Math. 45, No.3, 467-475 (1993). ISSN 0020-3157; ISSN 1572-9052/e

Summary: We have studied the asymptotics of two special two-matrix hypergeometric functions. The validity of the asymptotic expressions for these functions is seen in several selected numerical comparisons between the exact and asymptotic results. These hypergeometric functions find applications in configuration statistics of macromolecules as well as multivariate statistics.

MSC 2000:: *62H25 Factor analysis, etc.
33C90 Appl. of hypergeometric functions
62P99 Appl. of statistics
62E20 Asymptotic distribution theory in statistics
62H10 Multivariate distributions of statistics

Keywords: Wishart distribution; macromolecule size and shape distribution functions; asymptotics; two-matrix hypergeometric functions; numerical comparisons; configuration statistics of macromolecules

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