Method of multiple transformations in stability theory

DOI10.1007/BF01121472zbMath0601.62021MaRDI QIDQ1081229

O. L. Yanushkyavichene, Romanas Yanushkevichius

Publication date: 1986

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

zbMATH Keywords

stabilitycharacteristic functionscharacterizationnormal distributionmethod of multiple transformations

Mathematics Subject Classification ID

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

Related Items (2)

Almost-independent statistics \(X_ 1+X_ 2\) and \(X_ 1-X_ 2\) in the uniform metric ⋮ Stability of the characterization of normal distribution in the Laha-Lukacs theorem.

Cites Work

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• Estimates of the stability of the characterization of the normal law in a theorem of G. Polya
• IDEAL METRICS IN THE PROBLEMS OF PROBABILITY THEORY AND MATHEMATICAL STATISTICS
• Two-Sided Estimates of Levy’s Metric
• METRIC DISTANCES IN SPACES OF RANDOM VARIABLES AND THEIR DISTRIBUTIONS
• On the Robustness of Some Characterizations of the Normal Distribution

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