A Uniform Bound on a Combinatorial Central Limit Theorem

DOI10.1081/SAP-200056686zbMath1083.60016MaRDI QIDQ5316802

K. Neammanee, Jiraphan Suntornchost

Publication date: 15 September 2005

Published in: Stochastic Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Stein's methodrandom permutation: concentration inequality

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50) Exchangeability for stochastic processes (60G09)

Related Items (11)

An Improvement of a Uniform Bound on a Combinatorial Central Limit Theorem ⋮ An improvement of a non-uniform bound for combinatorial central limit theorem ⋮ On the probabilities of moderate deviations for combinatorial sums ⋮ On the probabilities of large deviations of combinatorial sums of independent random variables that satisfy the Linnik condition ⋮ Bounds of the remainder in a combinatorial central limit theorem ⋮ Esseen type bounds of the remainder in a combinatorial CLT ⋮ On combinatorial strong law of large numbers and rank statistics ⋮ Non uniform bound on a combinatorial central limit theorem ⋮ On large deviations for combinatorial sums ⋮ A Non-Uniform Concentration Inequality for a Random Permutation Sum ⋮ On the error bound in a combinatorial central limit theorem

Cites Work

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• On the Hoeffding's combinatorial central limit theorem
• A short proof of Motoo's combinatorial central limit theorem using Stein's method
• Berry-Esseen theorems for simple linear rank statistics under the null- hypothesis
• An \(L_p\) bound for the remainder in a combinatorial central limit theorem
• Some Extensions of the Wald-Wolfowitz-Noether Theorem
• An estimate of the remainder in a combinatorial central limit theorem
• On a Combinatorial Limit Theorem
• Remainder term estimate in a combinatorial limit theorem
• A Converse to a Combinatorial Limit Theorem
• A Combinatorial Central Limit Theorem
• Statistical Tests Based on Permutations of the Observations

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