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两两NQD阵列加权乘积和的完全收敛性和强大数定律
Complete Convergence and Strong Law of Large Numbers for Weighted Product Sums of Pairwise NQD Random Arrays
【摘要】 利用截尾法和两两NQD列部分和矩不等式,得到了两两NQD阵列加权乘积和的强大数定律,并在h-可积条件下给出了其完全收敛性的一个充分条件.
【Abstract】 By using the means moment inequality and truncated method we investigate strong law of targe numbers for the weighted product sums of pairwise NQD random arrays,at the same time we also discuss the complete convergence for the weighted product sums of pairwise NQD random arrays under the conditions of h-integrality and obtain a sufficient condition.
【关键词】 两两NQD阵列;
h-可积;
乘积和;
完全收敛性;
强大数定律;
【Key words】 Pairwise NQD random arrays; h-integrality; Product sums; Complete convergence; Strong law of large numbers;
【Key words】 Pairwise NQD random arrays; h-integrality; Product sums; Complete convergence; Strong law of large numbers;
【基金】 安徽省教育厅自然科学基金重点项目(Kj2010A234,Kj2010A224)
- 【文献出处】 数学研究 ,Journal of Mathematical Study , 编辑部邮箱 ,2011年01期
- 【分类号】O211.4
- 【被引频次】1
- 【下载频次】58