A metric approach to investigation of the stability of Pólya theorem on characterization of the normal distribution

DOI10.1007/BF01089799zbMath0593.62006MaRDI QIDQ1076441

I. S. Shiganov

Publication date: 1986

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

zbMATH Keywords

stabilitydistributioncharacterization of the normal

Mathematics Subject Classification ID

Characterization and structure theory of statistical distributions (62E10)

Related Items (1)

Stability of the characterization of normal distribution in the Laha-Lukacs theorem.

Cites Work

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• Stability of the characterization of the multivariate normal distribution in the Skitovich-Darmois theorem
• Estimates of the stability of the characterization of the normal law in a theorem of G. Polya
• Stability effect in characterization of distributions
• Stability theorems for characterizations by constant regression
• IDEAL METRICS IN THE PROBLEMS OF PROBABILITY THEORY AND MATHEMATICAL STATISTICS
• Stability Theorems for a Characterization of the Poisson Distribution
• Ideal Metrics in the Problem of Approximating Distributions of Sums of Independent Random Variables
• A sharpening of the inequality of Berry-Esseen
• On the Robustness of Some Characterizations of the Normal Distribution
• Über einige Eigenschaften monotoner stochastischer Prozesse
• Ein stetigkeitssatz für einlinige wartemodelle der bedienungstheorie

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