On the rate of convergence to normality for sums of dependent random variables

DOI10.1007/BF01896787zbMath0349.60019OpenAlexW2025170189MaRDI QIDQ4119864

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Publication date: 1976

Published in: Acta Mathematica Academiae Scientiarum Hungaricae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01896787

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05)

Related Items (7)

Uniform bound in the central limit theorem for Banach space valued dependent random variables ⋮ Central limit theorems, invariance principle, and rates of convergence for backwards martingale arrays ⋮ On the rate of approximation in the central limit theorem for dependent random variables and random vectors ⋮ Explicit bounds for the departure from normality of sums of dependent random variables ⋮ Uniform and nonuniform estimates in the CLT for Banach valued dependent random variables ⋮ Central limit theorem and weak law of large numbers with rates for martingales in Banach spaces ⋮ On an improved rate of convergence to normality for sums of dependent random variables with applications to stochastic approximation

Cites Work

• On strassen's version of the loglog law
• An Elementary Derivation of Khintchine's Estimate for Large Deviations
• On Strassen's version of the loglog law for some classes of dependent random variables
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