Some asymptotic and large deviation results in Poisson approximation

DOI10.1214/aop/1176989532zbMath0764.60026OpenAlexW2032897924MaRDI QIDQ1203672

Louis H. Y. Chen, Kwok Pui Choi

Publication date: 22 February 1993

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aop/1176989532

zbMATH Keywords

Stein's methodlarge deviationsasymptotic resultsPoisson approximation

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50) Large deviations (60F10)

Related Items (9)

Compound Poisson approximation for unbounded functions on a group, with application to large deviations ⋮ Approximating dependent rare events ⋮ On large deviations for sums of discrete m-dependent random variables ⋮ Large deviations for sums of random variables connected into a Markov chain in approximation by Poisson law ⋮ On moderate deviations in Poisson approximation ⋮ On local estimates and the Stein method ⋮ Eine Verschärfung der Schranke von LeCam zur Poisson-Approximation von Gesamtschadenverteilungen im individuellen Modell ⋮ Large deviations for integer centered Poisson approximation ⋮ Cramér-type moderate deviation of normal approximation for unbounded exchangeable pairs

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