Some multivariate statistical characterization theorems

DOI10.1016/0047-259X(79)90085-XzbMath0409.62036MaRDI QIDQ1259114

Eugene Lukacs

Publication date: 1979

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

zbMATH Keywords

IndependencePoissonGammaCharacterizationsWishart DistributionMultivariate DistributionsNegative BinomialConstancy of RegressionGeometricIdentity of DistributionsSkitovic-Darmois Theorem

Mathematics Subject Classification ID

Characterization and structure theory for multivariate probability distributions; copulas (62H05) Exact distribution theory in statistics (62E15)

Related Items

Limit theorems for multivariate discrete distributions.

Cites Work

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• Characterization of the multivariate Poisson distribution
• Estimates o f the difference between distributions in the Levy metric
• On the characterization of the normal population by the independence of the sample mean and the sample variance
• A Characterization of the Normal Distribution
• A Characterization of the Multivariate Normal Distribution
• A Characterization of the Wishart Distribution
• A Smoothing Inequality for Estimates of the Lévy–Prokhorov Distance
• Estimates for the Lévy–Prokhorov Distance
• Remarks on a Multivariate Gamma Distribution
• A Multivariate Gamma-Type Distribution
• A Characterization of the Normal Distribution