On the rate of complete convergence for weighted sums of arrays of banach space valued random elements

dc.contributor.author	Hu T.
dc.contributor.author	Li D.
dc.contributor.author	Rosalsky A.
dc.contributor.author	Volodin A.
dc.date.accessioned	2018-09-17T21:51:23Z
dc.date.available	2018-09-17T21:51:23Z
dc.date.issued	2003
dc.identifier.issn	0040-585X
dc.identifier.uri	https://dspace.kpfu.ru/xmlui/handle/net/135523
dc.description.abstract	By applying a recent result of Hu et al. [Stochastic Anal. Appl., 17 (1999), pp. 963-992], we extend and generalize the complete convergence results of Pruitt [J. Math. Mech., 15 (1966), pp. 769-776] and Rohatgi [Proc. Cambridge Philos. Soc., 69 (1971), pp. 305-307] to arrays of row-wise independent Danach space valued random elements. No assumptions are made concerning the geometry of the underlying Banach space. Illustrative examples are provided comparing the various results.
dc.relation.ispartofseries	Theory of Probability and its Applications
dc.subject	Almost sure convergence
dc.subject	Array of Banach space valued random elements
dc.subject	Complete convergence
dc.subject	Rate of convergence
dc.subject	Row-wise independence
dc.subject	Weighted sums
dc.title	On the rate of complete convergence for weighted sums of arrays of banach space valued random elements
dc.type	Article
dc.relation.ispartofseries-issue	3
dc.relation.ispartofseries-volume	47
dc.collection	Публикации сотрудников КФУ
dc.relation.startpage	455
dc.source.id	SCOPUS0040585X-2003-47-3-SID0141429922

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Публикации сотрудников КФУ Scopus [24551]
Коллекция содержит публикации сотрудников Казанского федерального (до 2010 года Казанского государственного) университета, проиндексированные в БД Scopus, начиная с 1970г.