Moderate deviations in Poisson approximation: a first attempt

DOI10.5705/ss.2012.203szbMath1417.60015arXiv1207.1605OpenAlexW2963210954MaRDI QIDQ2864541

Louis H. Y. Chen, Xiao Fang, Qui-Man Shao

Publication date: 25 November 2013

Published in: Statistica Sinica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.1605

zbMATH Keywords

Stein's methodPoisson approximationmoderate deviationslocal dependencesize-bias coupling

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Approximations to statistical distributions (nonasymptotic) (62E17) Limit theorems in probability theory (60F99)

Related Items (6)

ON MODERATE DEVIATIONS FOR COUNT DATA AND GAMMA APPROXIMATION ⋮ On large deviations for sums of discrete m-dependent random variables ⋮ A refined Cramér-type moderate deviation for sums of local statistics ⋮ On moderate deviations in Poisson approximation ⋮ Berry-Esseen bounds of normal and nonnormal approximation for unbounded exchangeable pairs ⋮ Cramér-type moderate deviation of normal approximation for unbounded exchangeable pairs

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