On some distributional and limit properties of factorizable distributions

DOI10.1016/S0167-7152(96)00091-0zbMath0894.62060MaRDI QIDQ1380542

Jacek Wesołowski

Publication date: 10 September 1998

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

zbMATH Keywords

decompositioncharacterizationGaussian distributionsphericityLindeberg conditioncentral limit problemfactorizable distributions

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Characterization and structure theory for multivariate probability distributions; copulas (62H05)

Related Items (1)

An extension of the Darmois-Skitovitch theorem to a class of dependent random variables

Cites Work

• Gaussian conditional structure of the second order and the Kagan classification of multivariate distributions
• On determination of multivariate distribution by its marginals for the Kagan class
• A Remark on Cramer’s Theorem on the Decomposition of the Normal Law
• A Characterization of the Multivariate Normal Distribution
• Extension of darmois-skitcvic theorem to functions of random variables satisfying an addition theorem
• Identifiability of a Linear Relation between Variables Which Are Subject to Error
• Analyse générale des liaisons stochastiques: etude particulière de l'analyse factorielle linéaire
• New Classes of Dependent Random Variables and a Generalization of the Darmois–Skitovich Theorem to Several Forms
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