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Independence of the sum and absolute difference of independent random variables does not imply their normality

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Publication:1368870
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zbMath0883.62015MaRDI QIDQ1368870

R. C. Laha, Vijay K. Rohatgi, Abram M. Kagan

Publication date: 26 March 1998

Published in: Mathematical Methods of Statistics (Search for Journal in Brave)


zbMATH Keywords

independenceDarmois-Skitovich theorem


Mathematics Subject Classification ID

Characterization and structure theory of statistical distributions (62E10)


Related Items (3)

On a characterization of idempotent distributions on discrete fields and on the field of \(p\)-adic numbers ⋮ On Geary's theorem for the field of \(p\)-adic numbers ⋮ Toward the history of the St. Petersburg school of probability and statistics. IV: Characterization of distributions and limit theorems in statistics




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