On the constant in the nonuniform version of the Berry-Ess�en theorem

DOI10.1007/BF01013464zbMath0447.60015MaRDI QIDQ3893039

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Publication date: 1981

Published in: Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete (Search for Journal in Brave)

zbMATH Keywords

Berry-Esseen theorem

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05)

Related Items (13)

Optimal-order bounds on the rate of convergence to normality in the multivariate delta method ⋮ Zur Modellierung des Ausgleichs im Kollektiv ⋮ Large Fork-Join Queues with Nearly Deterministic Arrival and Service Times ⋮ Asymptotic expansions for sums of nonidentically distributed Bernoulli random variables ⋮ On sequential estimation of the shift parameter ⋮ On the Error-Bound in the Nonuniform Version of Esseen's Inequality in the L _p -Metric ⋮ Estimates of the proximity of a distribution to the normal law ⋮ On the accuracy of the approximation of the complex exponent by the first terms of its Taylor expansion with applications ⋮ On convergence rate in CLT for smooth distributions ⋮ On the analytical structure of the constant in the nonuniform version of the esseen inequality ⋮ Two-sided bounds for nonuniform rates of convergence in the central limit theorem ⋮ On Berry-Esseen results for the compound Poisson distribution ⋮ On the asymptotical behavior of the constant in the Berry-Esseen inequality

Cites Work

• Unnamed Item
• Nonuniform central limit bounds with applications to probabilities of deviations
• Abschätzungen der Konvergenzgeschwindigkeit zur Normalverteilung unter Voraussetzung einseitiger Momente
• Some Limit Theorems for Large Deviations

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