Asymptotic expansions of some matrix argument hypergeometric functions, with applications to macromolecules

DOI10.1007/BF00773349zbMath0801.62054MaRDI QIDQ1335349

Gaoyuan Wei, B. E. Eichinger

Publication date: 4 October 1994

Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)

zbMATH Keywords

asymptoticsWishart distributionnumerical comparisonsconfiguration statistics of macromoleculesmacromolecule size and shape distribution functionstwo-matrix hypergeometric functions

Mathematics Subject Classification ID

Multivariate distribution of statistics (62H10) Factor analysis and principal components; correspondence analysis (62H25) Asymptotic distribution theory in statistics (62E20) Applications of statistics (62P99) Applications of hypergeometric functions (33C90)

Related Items

Matrix calculus and related hypergeometric functions

Cites Work

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• A multidimensional variational integral and its extensions
• Latent roots and matrix variates: a review of some asymptotic results
• An identity involving partitional generalized binomial coefficients
• A theorem on the asymptotic behavior of a multiple integral
• Evaluations of distribution functions for flexible macromolecules by the saddle-point method
• Distributions of Matrix Variates and Latent Roots Derived from Normal Samples