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两两NQD列的L_p收敛性和完全收敛性 被引量:2

Law of L_p convergence and complete convergence for the weighted sums of NQD random sequences
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摘要 在较宽泛的条件下研究了不同分布两两NQD列加权和的收敛性质,利用矩不等式和截尾方法,获得了一般双下标加权系数的加权部分和的L_p收敛性和完全收敛性定理,推广了前人的相应结果. Under very mild conditions, the convergence properties for weighted sums Of palrwise NQD random sequences with the different distribution are studied. By the mean's moment inequality and truncated method, the author is able to give the Lp convergence and complete convergence for the general double index weighted partial stuns, which extend the corresponding results in a previous paper.
作者 吴永锋
出处 《纯粹数学与应用数学》 CSCD 北大核心 2008年第3期605-609,共5页 Pure and Applied Mathematics
基金 安徽省高校省级自然科研项目(KJ2008B15ZC) 安徽省高校青年教师资助计划项目(2008jq1140)
关键词 两两NQD列 加权和 一致可积 Lp收敛性 完全收敛性 pairwise NQD random sequences, weighted sum, uniform integrability, convergence in the Lp mean, complete convergence
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参考文献7

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二级参考文献8

共引文献121

同被引文献16

  • 1万成高.两两NQD列的大数定律和完全收敛性[J].应用数学学报,2005,28(2):253-261. 被引量:44
  • 2吴群英,王远清,伍艳春.NA阵列行和最大值的若干极限定理[J].应用概率统计,2006,22(1):56-62. 被引量:15
  • 3Chandra T K.Uniform integrsbility in the Cesàro sence and the weak law of large numbers[J].Sankhya:the Indian Yournal of Statistics,1989,51(series A):309-317.
  • 4Ordónez Cabrera M.Convergence of weighted sums of random variables and uniform integerbility concerning the weights[J].Collect Math.,1994,43:121-132.
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