Some applications of the Stein-Chen method for proving Poisson convergence

DOI10.2307/1427198zbMath0673.60023OpenAlexW1978336826WikidataQ104764330 ScholiaQ104764330MaRDI QIDQ3827313

Lars Holst, Andrew David Barbour

Publication date: 1989

Published in: Unnamed Author (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/1427198

zbMATH Keywords

total variationinequalitiesmethod of Stein-Chen

Mathematics Subject Classification ID

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

Related Items (15)

Poisson approximations for 2-dimensional patterns ⋮ Usefulness of Asymptotic Distributions in the Classical Occupancy Problem ⋮ Asymptotics of multivariate contingency tables with fixed marginals ⋮ Omnibus sequences, coupon collection, and missing word counts ⋮ Poisson approximations for Markov-driven point processes ⋮ On Poisson approximation to the partial sum process of a Markov chain ⋮ Phase transitions for detecting latent geometry in random graphs ⋮ On the `problème des ménages' from a probabilistic viewpoint ⋮ Stein's method and point process approximation ⋮ Inequalities for rare events in time-reversible Markov chains. II ⋮ Finite Representability of Integers as $2$-Sums ⋮ The asymptotics of random sieves ⋮ Binomial approximation to the Poisson binomial distribution ⋮ Speed and concentration of the covering time for structured coupon collectors ⋮ Two poisson limit theorems for the coupon collector’s problem with group drawings

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