Smoothness and Lévy concentration function inequalities for distributions of random diagonal sums

DOI10.1090/tpms/1219MaRDI QIDQ6633973

B. Roos

Publication date: 6 November 2024

Published in: Theory of Probability and Mathematical Statistics (Search for Journal in Brave)

zbMATH Keywords

smoothness inequalitygeneralized HafnianHoeffding permutation statisticLévy concentration function inequalityrandom diagonal sum

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Approximations to statistical distributions (nonasymptotic) (62E17)

Cites Work

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• Combinatorics and complexity of partition functions
• On the Hoeffding's combinatorial central limit theorem
• Sharp mean-variance bounds for Jensen-type inequalities
• Error bounds in local limit theorems using Stein's method
• On smoothing properties of compound Poisson distributions
• Modified log-Sobolev inequalities, Beckner inequalities and moment estimates
• On the error bound in a combinatorial central limit theorem
• A shorter proof of Kanter's Bessel function concentration bound
• An estimate of the remainder in a combinatorial central limit theorem
• An approximation theorem for sums of certain randomly selected indicators
• Poisson perturbations
• On the Accuracy in a Combinatorial Central Limit Theorem: The Characteristic Function Method
• Refined total variation bounds in the multivariate and compound Poisson approximation
• A Combinatorial Central Limit Theorem
• Statistical Tests Based on Permutations of the Observations

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