Berry Esseen Bounds for Combinatorial Central Limit Theorems and Pattern Occurrences , using Zero and Size Biasing ∗ †

Abstract

Berry Esseen type bounds to the normal, based on zeroand size-bias couplings, are derived using Stein’s method. The zero biasing bounds are illustrated with an application to combinatorial central limit theorems where the random permutation has either the uniform distribution or one which is constant over permutations with the same cycle type and having no… (More)

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