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
recurrence relationspartial differential equationsgeneralized hypergeometric functionszonal polynomialselementary symmetric functions
Multivariate distribution of statistics (62H10) Characterization and structure theory for multivariate probability distributions; copulas (62H05) Generalized hypergeometric series, ({}_pF_q) (33C20)
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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
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