The central limit theorem and Poincaré-type inequalities

DOI10.1214/aop/1176991902zbMath0646.60029OpenAlexW2081271951MaRDI QIDQ1103948

Louis H. Y. Chen

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1214/aop/1176991902

zbMATH Keywords

Poincaré-type inequalitycentral limit theoremLindeberg condition

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Central limit and other weak theorems (60F05) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (6)

Characterizations of distributions by generalizations of variance bounds and simple proofs of the CLT ⋮ Fluctuations of eigenvalues and second order Poincaré inequalities ⋮ Lower variance bounds and a new proof of the central limit theorem ⋮ On characterizations of distributions by mean absolute deviation and variance bounds ⋮ A matrix variance inequality ⋮ Second order Poincaré inequalities and CLTs on Wiener space

This page was built for publication: The central limit theorem and Poincaré-type inequalities