Asymptotic expansions for moments in the central limit theorem in Banach spaces
type: Item
instance of: scholarly article
title: Asymptotic expansions for moments in the central limit theorem in Banach spaces
zbMATH Open document ID: 0649.60024
DOI: 10.1007/BF00971342
published in: Lithuanian Mathematical Journal
publication date: 1986-01-01T00:00:00Z
review text: The author proves asymptotic expansions for the expectation of sufficiently often Fréchét differentiable functions f (which may grow exponentially as a function of the norm) applied to i.i.d. sums of Banach space valued random vectors. The results are valid provided that the CLT holds in the Banach space and these expectations exist. The result extends previous results of Paulauskas, the reviewer, the author and Kruglov.
Mathematics Subject Classification ID: 60F05
Mathematics Subject Classification ID: 60B12
zbMATH DE Number: 4060415
zbMATH Keywords: CLT in Banach spaces
zbMATH Keywords: asymptotic expansions for moment
author: Vidmantas Bentkus
reviewed by: Friedrich Götze
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf00971342
OpenAlex ID: W2111646923
description: scientific article; zbMATH DE number 4060415