Multivariate Liouville distributions. IV

DOI10.1006/jmva.1995.1042zbMath0863.62046OpenAlexW4210354235MaRDI QIDQ1898393

Donald St. P. Richards, Rameshwar D. Gupta

Publication date: 15 June 1997

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmva.1995.1042

zbMATH Keywords

semigroupPoisson distributionconvolution semigroupconditional distributionslocally compact Abelian groupmultinomial distributionDirichlet distributionsymmetric conemultivariate negative binomial distributionmixtures of exponential distributionshypergeometric function of matrix argumentregression functionsconvolution familyGauss distributionWeyl fractional derivativeLiouville distributionshypergeometric function on symmetric conesLiouville-Dirichlet integral

Mathematics Subject Classification ID

Characterization and structure theory for multivariate probability distributions; copulas (62H05) Foundations and philosophical topics in statistics (62A01) Applications of hypergeometric functions (33C90) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items (11)

Invariance properties of some classical tests for exponentiality ⋮ The History of the Dirichlet and Liouville Distributions ⋮ A new mixture model on the simplex ⋮ A structured Dirichlet mixture model for compositional data: inferential and applicative issues ⋮ Generalised liouville processes and their properties ⋮ Moment properties of the multivariate Dirichlet distributions ⋮ An expectation formula for the multivariate Dirichlet distribution ⋮ Lévy random bridges and the modelling of financial information ⋮ Integral transform methods in goodness-of-fit testing. II: The Wishart distributions ⋮ Semiparametric estimation in the multivariate Liouville model. ⋮ Matrix Dirichlet processes

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