The Lukacs-Olkin-Rubin characterization of Wishart distributions on symmetric cones

From MaRDI portal
Publication:1816572

DOI10.1214/aos/1032894464zbMath0906.62053OpenAlexW2037128578MaRDI QIDQ1816572

Gérard Letac, Muriel Casalis

Publication date: 22 February 1999

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aos/1032894464



Related Items

An independence property for the product of GIG and gamma laws, Beta-hypergeometric probability distribution on symmetric matrices, On the Matrix-Variate Beta Distribution, Why Jordan algebras are natural in statistics: quadratic regression implies Wishart distributions, On the Lukacs property for free random variables, Multivariate Lukacs theorem, The Lukacs-Olkin-Rubin theorem on symmetric cones without invariance of the ``quotient, Bessel convolutions on matrix cones: Algebraic properties and random walks, The generalized fundamental equation of information on symmetric cones, Estimation of normal covariance matrices parametrized by irreducible symmetric cones under Stein's loss, Multivariate Matsumoto-Yor property is rather restrictive, Characterization of the Dirichlet distribution on symmetric matrices, Maximal invariants for Lorentz-Wishart models, Distribution theory of quadratic forms for matrix multivariate elliptical distribution, Wishart exponential families on cones related to tridiagonal matrices, The extended matrix-variate beta probability distribution on symmetric matrices, Characterization of beta distribution on symmetric cones, Elliptical affine shape distributions for real normed division algebras, On Riesz distribution, Enriched conjugate and reference priors for the Wishart family on symmetric cones, Dual Lukacs regressions for non-commutative variables, Complete monotonicity for inverse powers of some combinatorially defined polynomials, The noncentral Wishart as an exponential family, and its moments, On Wishart and noncentral Wishart distributions on symmetric cones, On the projections of the Dirichlet probability distribution on symmetric cones, Moments of minors of Wishart matrices, A characterization of the Riesz probability distribution, An expectation formula for the multivariate Dirichlet distribution, Wishart distributions on homogeneous cones, On characterizations of the gamma and generalized inverse Gaussian distributions, On Riesz and Wishart distributions associated with decomposable undirected graphs, Some properties of the Wishart processes and a matrix extension of the Hartman-Watson laws, Beta-Riesz distributions on symmetric cones, Unnamed Item, Dirichlet partition on symmetric matrices, Kshirsagar-Tan independence property of beta matrices and related characterizations, Meixner matrix ensembles, Quadratic and inverse regressions for Wishart distributions., Estimation and testing for lattice conditional independence models on Euclidean Jordan algebras, The Matsumoto-Yor property on trees for matrix variates of different dimensions, A formula on multivariate Dirichlet distributions, On the Dirichlet distributions on symmetric matrices, Duality for real and multivariate exponential families, Characterizations of the beta distribution on symmetric matrices, Matrix-variate Lindley distributions and its applications, Enriched standard conjugate priors and the right invariant prior for Wishart distributions, On the Gaussian representation of the Riesz probability distribution on symmetric matrices, Multiplicative Cauchy functional equation on symmetric cones



Cites Work