Estimation of the eigenvalues of noncentrality parameter in matrix variate noncentral beta distribution

DOI10.1007/BF02530527zbMath1063.62084MaRDI QIDQ1881007

Yasunori Fujikoshi, Yo Sheena, Arjun K. Gupta

Publication date: 27 September 2004

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

zbMATH Keywords

simulationszonal polynomialunbiased estimatorempirical Bayes estimatororthogonal invariant estimator

Mathematics Subject Classification ID

Estimation in multivariate analysis (62H12) Eigenvalues, singular values, and eigenvectors (15A18) Empirical decision procedures; empirical Bayes procedures (62C12)

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Cites Work

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• Estimation of the eigenvalues of noncentrality parameter matrix in noncentral Wishart distribu\-tion
• Estimation of parameter matrices and eigenvalues in MANOVA and canonical correlation analysis
• Estimation of the scale matrix and its eigenvalues in the Wishart and the multivariate \(F\) distributions
• Modified AIC and Cp in multivariate linear regression

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