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行为两两NQD随机变量阵列加权和的完全收敛性
引用本文:章茜.行为两两NQD随机变量阵列加权和的完全收敛性[J].浙江大学学报(理学版),2017,44(5):538-541.
作者姓名:章茜
作者单位:浙江机电职业技术学院 数学教研室, 浙江 杭州 310053
摘    要:负相依在统计分析和可靠性理论中有着广泛的应用.研究了一类行为两两NQD随机变量阵列加权和的完全收敛性.利用矩不等式和有效的截尾方法,建立了行为两两NQD随机变量阵列加权和的完全收敛性的充要条件,从而推广了吴群英等建立的关于一类NA随机变量序列的完全收敛性的结论.

关 键 词:行为两两NQD阵列  加权和  完全收敛性  
收稿时间:2016-10-06

Complete convergence for weighted sums of arrays with row-wise pairwise negatively quadrant dependent sequences
ZHANG Qian.Complete convergence for weighted sums of arrays with row-wise pairwise negatively quadrant dependent sequences[J].Journal of Zhejiang University(Sciences Edition),2017,44(5):538-541.
Authors:ZHANG Qian
Institution:Mathematics Teaching and Research Section, Zhejiang Institute of Mechanical and Electrical Engineering, Hangzhou 310053, China
Abstract:Negative dependence is important and widely used in multivariate statistical analysis and reliability theory. The purpose of this paper is to study a kind of complete convergence for weighted sums of pairwise negatively quadrant dependent (NQD) sequences with EX=0,E|X|exp(lnα|X|)<∞,α>1.By applying moment inequality and truncation methods, the sufficient conditions of complete convergence theorem of weighted sums for arrays of row-wise pairwise NDQ random variables are established, which extends to the case of weighted sums of pairwise negatively quadrant dependent sequences with imposing weighted condition. Our results generalize corresponding result obtained by WU et al.
Keywords:arrays with row-wise pairwise negatively quadrant dependent sequences  weighted sums  complete convergence
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