On a lower bound of \(L_p\) norms in the central limit theorem for \(\varphi\)-mixing random variables

DOI10.1023/A:1025847814419zbMath1034.60025OpenAlexW2561215128MaRDI QIDQ1415515

Jonas Kazys Sunklodas

Publication date: 4 December 2003

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1025847814419

zbMATH Keywords

central limit theoremlower bounds of the \(L_p\) normsstrong mixing random variables

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05)

Related Items (1)

A lower bound of \(L_p\) norms in the CLT for strongly mixing random variables

Cites Work

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• Reversing the Berry-Esseen Inequality
• On the asymptotic equivalence ofL pmetrics for convergence to normality
• LOWER BOUNDS FOR THE NORMAL APPROXIMATION OF A SUM OF INDEPENDENT RANDOM VARIABLES
• On the Convergence Rate in the Central Limit Theorem for Weakly Dependent Random Variables
• Some Limit Theorems for Stationary Processes

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