On the Error-Bound in the Nonuniform Version of Esseen's Inequality in the L p -Metric

DOI10.1080/02331889708802540zbMath0846.60021OpenAlexW2052940157WikidataQ126241376 ScholiaQ126241376MaRDI QIDQ4878165

Ludwig Paditz

Publication date: 23 September 1996

Published in: Unnamed Author (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331889708802540

zbMATH Keywords

normal approximation\(L_ p\)-metricglobal central limit theoremnonuniform estimationestimate of constant

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05)

Related Items (2)

On the analytical structure of the constant in the nonuniform version of the esseen inequality ⋮ Non-uniform Berry-Esseen bounds for coordinate symmetric random vectors with applications

Cites Work

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• Estimates of the proximity of a distribution to the normal law
• Some \(L_p\) versions for the central limit theorem
• Non-Uniform Estimates, Moderate and Large Deviations in the Central Limit Theorem form-Dependent Random Variables
• A Mean Central Limit Theorem for Multiplicative Systems
• [https://portal.mardi4nfdi.de/wiki/Publication:3893039 On the constant in the nonuniform version of the Berry-Ess�en theorem]
• On moderate deviations
• On the analytical structure of the constant in the nonuniform version of the esseen inequality
• Large deviations of sums of independent random variables

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