| m-NA随机阵列的完全收敛性的一个注记 |
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| 引用本文： | 胡学平.m-NA随机阵列的完全收敛性的一个注记[J].数学杂志,2016,36(3):609-614. |
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| 作者姓名： | 胡学平 |
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| 作者单位： | 安庆师范学院数学与计算科学学院, 安徽 安庆 246133 |
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| 基金项目： | 安徽省高校自然科学基金重点项目(KJ2013A179). |
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| 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.
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| 关 键 词： | NA 列 m-NA 列 完全收敛性 最大部分和 概率不等式 |
| 收稿时间： | 2014/4/16 0:00:00 |
| 修稿时间： | 2014/10/16 0:00:00 |
A NOTE ON COMPLETE CONVERGENCE FOR ARRAYS OF ROWWISE m-NEGATIVELY ASSOCIATED RANDOM VARIABLES |
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| HU Xue-ping.A NOTE ON COMPLETE CONVERGENCE FOR ARRAYS OF ROWWISE m-NEGATIVELY ASSOCIATED RANDOM VARIABLES[J].Journal of Mathematics,2016,36(3):609-614. |
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| Authors: | HU Xue-ping |
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| Institution: | School of Math. and Comput. Sci., Anqing Teachers College, Anqing 246133, China |
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| 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]. |
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| Keywords: | NA sequence m-NA sequence complete convergence maximal partial sum probability inequality |
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