Asymptotic expansions for distributions of sums of independent random elements of a Hilbert space
type: Item
instance of: scholarly article
title: Asymptotic expansions for distributions of sums of independent random elements of a Hilbert space
zbMATH Open document ID: 0573.60007
DOI: 10.1007/BF00969124
published in: Lithuanian Mathematical Journal
publication date: 1984-01-01T00:00:00Z
review text: Let \(S_ n\) be a sum of n independent random elements with values in a real separable Hilbert space H, \(w:H\to R^ 1\) be a polynomial of second order. In the paper under review asymptotic expansions of the probability \(P\{w(S_ n)<r\}\) are obtained.
Mathematics Subject Classification ID: 60B12
zbMATH DE Number: 3915294
zbMATH Keywords: random elements with values in a real separable Hilbert space
zbMATH Keywords: polynomial of second order
zbMATH Keywords: asymptotic expansions
author: Vidmantas Bentkus
reviewed by: Vakhtang V. Kvaratskhelia
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3915294