Asymptotic expansions in the CLT containing the last known moment in the main part

DOI10.1007/S10958-023-06457-3MaRDI QIDQ6187955

V. N. Sobolev, A. E. Condratenko

Publication date: 1 February 2024

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

zbMATH Keywords

asymptotic expansionscentral limit theoremexplicit estimatesChebyshev-Hermite polynomialsaccuracy of approximationSenatov moments

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Characteristic functions; other transforms (60E10)

Cites Work

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• On the accuracy of the approximation of the complex exponent by the first terms of its Taylor expansion with applications
• The Chebyshev-Hermite moments and their applications to asymptotic expansions
• The Relation Between a Rate of Convergence of Moments of Normed Sums and the Chebyshev-Hermite Models
• On Asymptotic Expansions in the Central Limit Theorem
• Noch einige Ungleichungen für charakteristische Funktionen
• Modern Theory of Summation of Random Variables
• Normal Approximation
• On Senatov Moments in Asymptotic Expansions in the Central Limit Theorem
• New Forms of Asymptotic Expansions in the Central Limit Theorem

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