On normal approximation rates for certain sums of dependent random variables

DOI10.1016/0377-0427(94)90016-7zbMath0821.60037OpenAlexW2128603320MaRDI QIDQ1891021

Yosef Rinott

Publication date: 27 September 1995

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(94)90016-7

zbMATH Keywords

Stein's methodKolmogorov distanceWasserstein distanceBernoulli random graphs

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05)

Related Items (20)

Normal approximation under local dependence. ⋮ Central limit theorems for Gaussian polytopes ⋮ Finding the seed of uniform attachment trees ⋮ Stein's method for nonconventional sums ⋮ Stein's method and the zero bias transformation with application to simple random sampling ⋮ Asymptotic normality for -dependent and constrained -statistics, with applications to pattern matching in random strings and permutations ⋮ Finite Automata, Probabilistic Method, and Occurrence Enumeration of a Pattern in Words and Permutations ⋮ Stein's method for conditional central limit theorem ⋮ Cramér-type moderate deviations under local dependence ⋮ On Edgeworth expansions for dependency-neighborhoods chain structures and Stein's method ⋮ Random points and lattice points in convex bodies ⋮ Mod-ϕ Convergence, II: Estimates on the Speed of Convergence ⋮ Law of the iterated logarithm for random graphs ⋮ Random inscribing polytopes ⋮ The infinitesimal model: definition, derivation, and implications ⋮ An inscribing model for random polytopes ⋮ CLT-related large deviation bounds based on Stein's method ⋮ Poisson polytopes ⋮ On ballistic deposition process on a strip ⋮ Central limit theorems for random polytopes

Cites Work

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• On normal approximations of distributions in terms of dependency graphs
• A central limit theorem for decomposable random variables with applications to random graphs

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