A remainder term estimate for the normal approximation in classical occupancy

DOI10.1214/aop/1176994376zbMath0464.60025OpenAlexW1974433516MaRDI QIDQ1154178

Gunnar Englund

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1214/aop/1176994376

zbMATH Keywords

Berry-Esseen estimateclassical occupancyremainder term estimate

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Combinatorial probability (60C05)

Related Items (15)

Normal Approximation for Functions of Hidden Markov Models ⋮ Variance expansion and Berry-Esseen bound for the number of vertices of a random polygon in a polygon ⋮ Zero bias enhanced Stein couplings ⋮ Approaching the coupon collector’s problem with group drawings via Stein’s method ⋮ Local limit theorems for finite and infinite urn models ⋮ A new method of normal approximation ⋮ Bounds to the normal for proximity region graphs ⋮ Bounded size biased couplings, log concave distributions and concentration of measure for occupancy models ⋮ Stein's method via induction ⋮ Stein's method using approximate zero bias couplings with applications to combinatorial central limit theorems under the Ewens distribution ⋮ Asymptotic distribution for the birthday problem with multiple coincidences, via an embedding of the collision process ⋮ Palm theory, random measures and Stein couplings ⋮ On the coupon collector's remainder term ⋮ Gaussian approximation for sums of region-stabilizing scores ⋮ Discrete problems in probability theory

This page was built for publication: A remainder term estimate for the normal approximation in classical occupancy