Calculation of zonal polynomials of \(3\times 3\) positive definite symmetric matrices

DOI10.1007/BF02480277zbMath0447.62052OpenAlexW2068427370MaRDI QIDQ1146471

Rameshwar D. Gupta, Donald St. P. Richards

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1007/bf02480277

zbMATH Keywords

positive definite symmetric matricescalculation of zonal polynomials

Mathematics Subject Classification ID

Multivariate distribution of statistics (62H10) Multivariate analysis (62H99) Determinants, permanents, traces, other special matrix functions (15A15)

Related Items

Differential operators associated with zonal polynomials. I ⋮ Invariant Polynomials and Related Tests

Cites Work

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• Calculation of Zonal Polynomial Coefficients by Use of the Laplace-Beltrami Operator
• The Distribution of Noncentral Means with Known Covariance
• Note on Some Formulas for Weighted Sums of Zonal Polynomials
• Probability Content of Regions Under Spherical Normal Distributions, IV: The Distribution of Homogeneous and Non-Homogeneous Quadratic Functions of Normal Variables
• Distributions of Matrix Variates and Latent Roots Derived from Normal Samples
• Some Non-Central Distribution Problems in Multivariate Analysis