Non-Classical Estimates of the Rate of Convergence in the Multi-Dimensional Central Limit Theorem. I

DOI10.1137/1122088zbMath0391.60026OpenAlexW2001217147MaRDI QIDQ4172701

Vladimir I. Rotar'

Publication date: 1977

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

Full work available at URL: https://doi.org/10.1137/1122088

zbMATH Keywords

Rate of ConvergenceMulti-Dimensional Central Limit TheoremNon-Classical EstimateStandard Normal Measure

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05)

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Two-sided bounds and leading term for rates of convergence in the multivariate central limit theorem ⋮ Nonclassical Berry-Esseen inequalities and accuracy of the bootstrap ⋮ Two-sided bounds for nonuniform rates of convergence in the central limit theorem

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