On Conditions for a Probability Distribution to Be Uniquely Determined by Its Moments

DOI10.1137/S0040585X97T989714zbMath1432.60028arXiv1912.00160OpenAlexW3006392038MaRDI QIDQ5216292

E. B. Yarovaya, K. K. Kostyashin, Jordan M. Stoyanov

Publication date: 17 February 2020

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

Full work available at URL: https://arxiv.org/abs/1912.00160

zbMATH Keywords

moment problemrandom variablesLambert \(W\)-functionCarleman's conditionHardy's condition\(m\)-determinacyrate of growth of moments

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Probability distributions: general theory (60E05) Characterization and structure theory of statistical distributions (62E10)

Related Items (3)

Structure of the population of particles for a branching random walk in a homogeneous environment ⋮ On the randomized Schmitter problem ⋮ Determinacy of a distribution with finitely many mass points by finitely many moments

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