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浙江大学学报(理学版)
数学与计算机科学     
关于多指标变量大数律尾概率级数的完全收敛性
本文对iid多指标随机变量序列的部分和及H(t)↑+∞,(t→+∞),提出并讨论了Порохоров的3个问题(d≥2),并讨论了多指标随机变量和的完全收敛 性.
杭州师范学院数学系 杭州310012
Complete Convergence for Partial Sums of Random Uariables with Multidimensioned Indices
The three problems recently proposed by Пpoxopob were completely solved by Su Chun[5] and Shao Qiman[6](d=1). In this paper, the Пpoxopob's three questions for multivariate random variables(d≥1) are furtherproposed and discussed. The results obtained include most of the well-known ones and some new ones.
Department of Mathematics of Hangzhou Teachers College, Hangzhou 310012
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摘要: 本文对iid多指标随机变量序列的部分和及H(t)↑+∞,(t→+∞),提出并讨论了Порохоров的3个问题(d≥2),并讨论了多指标随机变量和的完全收敛性.
关键词: 多指标尾概率级数大数律随机场    
Abstract: The three problems recently proposed by Пpoxopob were completely solved by Su Chun[5] and Shao Qiman[6](d=1). In this paper, the Пpoxopob's three questions for multivariate random variables(d≥1) are further proposed and discussed. The results obtained include most of the well-known ones and some new ones
Key words: complete convergence    tail of a distribution    law of large numbers
收稿日期: 1998-04-29 出版日期: 2017-05-15
:  O211.4  
作者简介: 杭州师范学院数学系 杭州310012
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引用本文:

王文胜. 关于多指标变量大数律尾概率级数的完全收敛性[J]. 浙江大学学报(理学版), .

Wang Wensheng. Complete Convergence for Partial Sums of Random Uariables with Multidimensioned Indices. Journal of ZheJIang University(Science Edition), .

链接本文:

http://www.zjujournals.com/sci/CN/        http://www.zjujournals.com/sci/CN/Y1999/V26/I1/17

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