On asymptotic expansion of the moments of smooth functions in the central limit theorem
type: Item
instance of: scholarly article
title: On asymptotic expansion of the moments of smooth functions in the central limit theorem
zbMATH Open document ID: 0889.60020
DOI: 10.1007/BF02104846
author: Igor S. Borisov
author: G. I. Skilyagina
published in: Siberian Mathematical Journal
publication date: 1998-06-22T00:00:00Z
review text: The authors distinguish the second term in the asymptotic expansion for the expectations of smooth functions of sums of independent identically distributed random variables; moreover, the order of smallness of the remainder is optional. The method proposed in this article allows strengthening sometimes the corresponding results of the predecessors, while enlarging the class of smooth functions under fixed moment conditions.
Mathematics Subject Classification ID: 60F05
zbMATH DE Number: 1023940
zbMATH Keywords: asymptotic expansions
zbMATH Keywords: smooth functions
zbMATH Keywords: central limit theorem
MaRDI profile type: Publication
cites work: On the Convergence of Moments in the Central Limit Theorem
cites work: Asymptotic expansions based on smooth functions in the central limit theorem
cites work: Edgeworth expansions for integrals of smooth functions
cites work: Q4776687
description: scientific article; zbMATH DE number 1023940