Order of approximation in the central limit theorem for associated random variables and a moderate deviation result

DOI10.1090/tpms/1073zbMath1481.60059arXiv1709.05821OpenAlexW2969279901WikidataQ127355658 ScholiaQ127355658MaRDI QIDQ5230220

Sreehari Maddipatla

Publication date: 21 August 2019

Published in: Theory of Probability and Mathematical Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.05821

zbMATH Keywords

rate of convergencecentral limit theoremmoderate deviationsassociated random variablesBerry-Esséen type bound

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Central limit and other weak theorems (60F05) Large deviations (60F10)

Related Items (4)

Remark on the rate of convergence in the random central limit theorem for mixing sequences ⋮ On the rate of convergence in the central limit theorem for Markov-chains ⋮ The exact approximation order in the central-limit-theorem for random summation ⋮ A bound in the stable ($\alpha $), $1 < \alpha \le 2$, limit theorem for associated random variables with infinite variance

Cites Work

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• A moderate deviation for associated random variables
• A Berry-Esseen theorem for associated random variables
• On the convergence rate in the central limit theorem for associated processes
• Normal fluctuations and the FKG inequalities
• On probabilities of moderate deviations of sums for independent random variables
• Asymptotics for Associated Random Variables
• On the Convergence Rate in the Central Limit Theorem for Weakly Dependent Random Variables
• Large deviations

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