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关于多指标变量大数律尾概率级数的完全收敛性
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), 1999, 26(1): 17-24
作者姓名:王文胜
作者单位:杭州师范学院数学系 杭州310012
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  
收稿时间:1998-04-29

Complete Convergence for Partial Sums of Random Uariables with Multidimensioned Indices
Wang Wensheng. Complete Convergence for Partial Sums of Random Uariables with Multidimensioned Indices[J]. Journal of Zhejiang University(Sciences Edition), 1999, 26(1): 17-24
Authors:Wang Wensheng
Affiliation:Department of Mathematics of Hangzhou Teachers College, Hangzhou 310012
Abstract:The three problems recently proposed by Пpoxopob were completely solved by Su Chun[5] and ShaoQiman[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
Keywords:complete convergence  tail of a distribution  law of large numbers  
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