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Teoriya Veroyatnostei i ee Primeneniya, 2002, Volume 47, Issue 3, Pages 533–547
DOI: https://doi.org/10.4213/tvp3691 (Mi tvp3691) 		 
This article is cited in 21 scientific papers (total in 21 papers)

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

T.-C. Hua, D. Lib, A. Rosalskyc, A. I. Volodind

a National Tsing Hua University, Department of Mathematics
b Lakehead University
c University of Florida
d Kazan State University
Full-text PDF (1238 kB) Citations (21)
DOI: https://doi.org/10.4213/tvp3691
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 Banach space valued random elements. No assumptions are made concerning the geometry of the underlying Banach space. Illustrative examples are provided comparing the various results.
Keywords: array of Banach space valued random elements, row-wise independence, weighted sums, complete convergence, rate of convergence, almost sure convergence.
Received: 26.10.1999
English version:
Theory of Probability and its Applications, 2003, Volume 47, Issue 3, Pages 455–468
DOI: https://doi.org/10.1137/S0040585X97979858
Bibliographic databases:
Document Type: Article
Language: English
Citation: T.-C. Hu, D. Li, A. Rosalsky, A. I. Volodin, “On the rate of complete convergence for weighted sums of arrays of Banach space valued random elements”, Teor. Veroyatnost. i Primenen., 47:3 (2002), 533–547; Theory Probab. Appl., 47:3 (2003), 455–468
Citation in format AMSBIB
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\jour Theory Probab. Appl.
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\pages 455--468
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  • https://www.mathnet.ru/eng/tvp/v47/i3/p533
    • This publication is cited in the following 21 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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