|
| 摘要: |
| 本文研究了行m-NA随机阵列的完全收敛性.利用文[8]中结果获得了m-NA列最大部分和的一个概率不等式,并根据该不等式和截尾的方法,探讨了行m-NA随机阵列的完全收敛性,获得了与行NA随机阵列情形类似的结果,简化了文[5]中定理1的证明. |
| 关键词: NA 列 m-NA 列 完全收敛性 最大部分和 概率不等式 |
| DOI： |
| 分类号:O212.4 |
| 基金项目:安徽省高校自然科学基金重点项目(KJ2013A179). |
|
| A NOTE ON COMPLETE CONVERGENCE FOR ARRAYS OF ROWWISE m-NEGATIVELY ASSOCIATED RANDOM VARIABLES |
|
HU Xue-ping
|
| Abstract: |
| In this paper, we study the complete convergence for arrays of rowwise mnegatively associated random variables. A probability inequalities of maximal partial sum for sequence of m-negatively associated random variables is obtained according to corresponding results in [8]. By applying the inequality and truncated method, the complete convergence for arrays of rowwise m-negatively associated random variables is investigated. The similar result as arrays of rowwise NA random variables is obtained under certain conditions, and simplifles the proof of Theorem 1 in [5]. |
| Key words: NA sequence m-NA sequence complete convergence maximal partial sum probability inequality |
