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Complete Conyergence and Strong Laws of Large Numbers-for Weighted Sums of Sequences of Independent B-Valued Random Elements 被引量:1

Complete Conyergence and Strong Laws of Large Numbers-for Weighted Sums of Sequences of Independent B-Valued Random Elements
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摘要 In this paper, we obtain theorems of complete convergence and strong laws of large numbers for weighted sums of sequences of independent random elements in a Banach space of type p (1 ≤ p ≤ 2). The results improve and extend the corresponding results on real random variables obtained by [1] and [2]. In this paper, we obtain theorems of complete convergence and strong laws of large numbers for weighted sums of sequences of independent random elements in a Banach space of type p (1 ≤ p ≤ 2). The results improve and extend the corresponding results on real random variables obtained by [1] and [2].
作者 QIU De Hua
出处 《Journal of Mathematical Research and Exposition》 CSCD 2009年第3期528-534,共7页 数学研究与评论(英文版)
基金 The Initiation of Research Project of Guangdong University of Business Studies
关键词 B-valued random elements weighted sums complete convergence strong laws oflarge numbers space of type p B-valued random elements weighted sums complete convergence strong laws oflarge numbers space of type p
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