Approximation of distributions of sums of weakly dependent random variables by the normal distribution

DOI10.1007/BF00966266zbMath0656.60014OpenAlexW4251327346MaRDI QIDQ1110174

Jonas Kazys Sunklodas

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1007/bf00966266

zbMATH Keywords

strong mixingtypes of weak dependenceuniformly strong mixing

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Convergence of probability measures (60B10)

Cites Work

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• Rate of convergence in the central limit theorem for random variables with strong mixing
• Estimate of the rate of convergence in the central limit theorem for weakly dependent random fields
• \(L_\infty\)-bound for asymptotic normality of weakly dependent summands using Stein's result
• \(L_1\) bounds for asymptotic normality of m-dependent sums using Stein's technique
• The central limit theorem for dependent random variables
• On Bounds to the Rate of Convergence in the Central Limit Theorem
• A CENTRAL LIMIT THEOREM AND A STRONG MIXING CONDITION
• On the speed of convergence in the random central limit theorem for ?-mixing processes
• Convergence rates of the strong law for stationary mixing sequences

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