Remark on the rate of convergence in the random central limit theorem for mixing sequences

DOI10.1007/BF00539440zbMath0306.60011OpenAlexW2022389148MaRDI QIDQ4062430

B. L. S. Prakasa Rao

Publication date: 1975

Published in: Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00539440

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Foundations of stochastic processes (60G05)

Related Items

Random central limit theorem for associated random variables and the order of approximation, On the rate of convergence in the global central limit theorem for random sums of uniformly strong mixing random variables, Unnamed Item, On the rate of convergence in the central limit theorem for Markov-chains, Normal approximation for strong demimartingales, On the speed of convergence of the distribution of random sums of weighted independent variables, On the rate of convergence in the central limit theorem for random sums of strongly mixing random variables, On the speed of convergence in the random central limit theorem for ?-mixing processes

Cites Work

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• Order of approximation in the central limit theorem for associated random variables and a moderate deviation result
• Mixing sequences of random variables and probablistic number theory
• Central limit theorems for martingales and for processes with stationary increments using a Skorokhod representation approach