Some estimates in the central limit theorem for \(\varphi\)-mixing random variables

DOI10.1007/BF02986900zbMath0884.60020OpenAlexW2063532758MaRDI QIDQ1366391

Jonas Kazys Sunklodas

Publication date: 30 October 1997

Published in: Lithuanian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02986900

zbMATH Keywords

convergence ratecentral limit theoremnormal approximationmixing random variables

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Central limit and other weak theorems (60F05)

Cites Work

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• Estimate of the bounded Lipschitz metric for sums of weakly dependent random variables
• Asymptotic expansions based on smooth functions in the central limit theorem
• \(L_1\) bounds for asymptotic normality of m-dependent sums using Stein's technique
• Poisson approximation for dependent trials
• On the global central limit theorem for \(\varphi\)-mixing random variables
• On the Convergence Rate in the Central Limit Theorem for Weakly Dependent Random Variables
• Asymptotic expansions for sums of weakly dependent random vectors
• Multiple comparisons and sums of dissociated random variables
• Some Limit Theorems for Stationary Processes

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