Recurrence relations of coefficients of the generalized hypergeometric function in multivariate analysis

DOI10.1080/03610929908832328zbMath0918.62048OpenAlexW2076123018MaRDI QIDQ4240729

Takakazu Sugiyama, Masafumi Fukuda, Yuichi Takeda

Publication date: 7 July 1999

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610929908832328

zbMATH Keywords

recurrence relationspartial differential equationsgeneralized hypergeometric functionszonal polynomialselementary symmetric functions

Mathematics Subject Classification ID

Multivariate distribution of statistics (62H10) Characterization and structure theory for multivariate probability distributions; copulas (62H05) Generalized hypergeometric series, ({}_pF_q) (33C20)

Related Items (1)

Unnamed Item

Cites Work

• Asymptotic solutions of the hypergeometric function \(_1F_1\) of matrix argument, useful in multivariate analysis
• Asymptotic formulas for the distributions of three statistics for multivariate linear hypothesis
• Asymptotic formulas for the hypergeometric function \(_2F_1\) of matrix argument, useful in multivariate analysis
• On the Distribution of the Largest Latent Root and the Corresponding Latent Vector for Principal Component Analysis
• Asymptotic Expansions of the Non-Null Distributions of the Likelihood Ratio Criteria for Multivariate Linear Hypothesis and Independence
• The Distribution of the Latent Roots of the Covariance Matrix
• Distributions of Matrix Variates and Latent Roots Derived from Normal Samples
• A generating function for averages over the orthogonal group

This page was built for publication: Recurrence relations of coefficients of the generalized hypergeometric function in multivariate analysis