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On quasi-nonuniform estimates for asymptotic expansions in the central limit theorem

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Publication:341738
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DOI10.1007/S10958-016-3034-4zbMath1387.60050OpenAlexW2511297234MaRDI QIDQ341738

V. V. Senatov

Publication date: 17 November 2016

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

Full work available at URL: https://doi.org/10.1007/s10958-016-3034-4


zbMATH Keywords

central limit theoremChebyshev-Hermite polynomialsshifted exponential distribution


Mathematics Subject Classification ID

Central limit and other weak theorems (60F05)


Related Items (1)

On the real accuracy of approximation in the central limit theorem. II




Cites Work

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  • Moment-Type Estimates with an Improved Structure for the Accuracy of the Normal Approximation to Distributions of Sums of Independent Symmetric Random Variables
  • Nonimprovable Estimates for Asymptotic Expansions in the Central Limit Theorem
  • Some Asymptotic Decompositions in the Central Limit Theorem in the Multidimensional Case
  • Noch einige Ungleichungen für charakteristische Funktionen
  • New Forms of Asymptotic Expansions in the Central Limit Theorem




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