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

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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.

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