On Modifications of the Lindeberg and Rotar' Conditions in the Central Limit Theorem

DOI10.1137/S0040585X97T990186zbMath1469.60080MaRDI QIDQ5150162

I. A. Ibragimov, Sh. K. Formanov, Ernst L. Presman

Publication date: 9 February 2021

Published in: Theory of Probability & Its Applications (Search for Journal in Brave)

zbMATH Keywords

central limit theoremIbragimov-Osipov-Esseen characteristicLindeberg characteristicnonclassical version of central limit theoremRotar' characteristic

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05)

Related Items (4)

On the proximity of sequences of probability distributions ⋮ Ildar Abdullovich Ibragimov (on his ninetieth birthday) ⋮ Unnamed Item ⋮ On transient phenomena in branching random processes with discrete time

Cites Work

• Unnamed Item
• Unnamed Item
• An extension of the Lindeberg-Feller theorem
• On Lindeberg-Feller limit theorem
• On the remainder term in the central limit theorem
• Probability-1

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