MacMahon's master theorem, representation theory, and moments of Wishart distributions

DOI10.1006/aama.2001.0748zbMath1074.62514OpenAlexW2032344018MaRDI QIDQ5956780

I-Li Lu, Donald St. P. Richards

Publication date: 16 June 2002

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/aama.2001.0748

Mathematics Subject Classification ID

Characterization and structure theory for multivariate probability distributions; copulas (62H05) Combinatorial identities, bijective combinatorics (05A19) Determinants, permanents, traces, other special matrix functions (15A15) Representation theory for linear algebraic groups (20G05)

Related Items (8)

Graph presentations for moments of noncentral Wishart distributions and their applications ⋮ On a symbolic representation of non-central Wishart random matrices with applications ⋮ Algebraic factor analysis: tetrads, pentads and beyond ⋮ Moments and cumulants for the complex Wishart ⋮ Asymptotic normality for traces of polynomials in independent complex Wishart matrices ⋮ The hyperoctahedral group, symmetric group representations and the moments of the real Wishart distribution ⋮ General moments of the inverse real Wishart distribution and orthogonal Weingarten functions ⋮ A symmetric matrix-variate normal local approximation for the Wishart distribution and some applications

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