行为两两NQD随机变量阵列加权和的完全收敛性

Complete convergence for weighted sums of arrays with row-wise pairwise negatively quadrant dependent sequences

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.

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.