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不同分布的NA列的加权和的强收敛速度
Strong Convergence Rate of Sums for NA Sequences with Different Distributions
【摘要】 本文得到了不同分布的NA列的加权和的完全收敛性,在权序列{ank,1≤k≤n,n∈N}满足不同条件的情况下,讨论了使得加权和完全收敛的关于X的矩的阶数,尤其是在一定的条件下,得到了只要求X很低的阶数的矩,得到了令人满意的结果.
【Abstract】 In this paper, complete convergence of sums for negatively asociated sequences (NA) with different distributions is obtained. The requirment of passed results is broaden to the condition that the absoluted moment-larger than zero-is limited. Therefore,the satisfactory result is aquired. At the same time, the strong convergence of sums for NA sequences with different distributions is obtained too.
【基金】 国家自然科学基金资助项目(No.10071072).
- 【文献出处】 应用概率统计 ,Chinese Journal of Applied Probability and Statisties , 编辑部邮箱 ,2004年01期
- 【分类号】O211.4
- 【被引频次】16
- 【下载频次】90