New Classes of Dependent Random Variables and a Generalization of the Darmois–Skitovich Theorem to Several Forms

DOI10.1137/1133044zbMath0713.62017OpenAlexW1980700981MaRDI QIDQ5895252

Abram M. Kagan

Publication date: 1988

Published in: Theory of Probability & Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/1133044

zbMATH Keywords

Gaussian random variablesindependence of linear formsnonidentically distributed random variablesCramér theorem on characterization of Gaussian distributionsgeneralization of the Darmois-Skitovich theorem

Mathematics Subject Classification ID

Characteristic functions; other transforms (60E10) Probability distributions: general theory (60E05) Characterization and structure theory of statistical distributions (62E10)

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On some distributional and limit properties of factorizable distributions

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