Total positivity properties of generalized hypergeometric functions of matrix argument

DOI10.1023/B:JOSS.0000037249.50382.92zbMath1134.33315OpenAlexW2126726951MaRDI QIDQ2385672

Donald St. P. Richards

Publication date: 12 October 2007

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/b:joss.0000037249.50382.92

zbMATH Keywords

random matrixtotal positivityFKG inequalityzonal polynomiallikelihood ratio test statisticsnoncentral Wishart distributioncompound determinantcondensation formulamonotone power function

Mathematics Subject Classification ID

Multivariate analysis (62H99) Inequalities; stochastic orderings (60E15) Other hypergeometric functions and integrals in several variables (33C70) Other functions defined by series and integrals (33E20) Random matrices (algebraic aspects) (15B52) Generalized hypergeometric series, ({}_pF_q) (33C20) Harmonic analysis and spherical functions (43A90)

Related Items (3)

Laplace approximation of Lauricella functions \(F_A\) and \(F_D\) ⋮ A power function of statistical tests dependent on elementary symmetric polynomials ⋮ Log-convexity properties of Schur functions and generalized hypergeometric functions of matrix argument

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