On complete convergence for arrays of rowwise AANA random variables

IF 0.8 4区数学 Q3 MATHEMATICS, APPLIED

Stochastics-An International Journal of Probability and Stochastic Processes Pub Date : 2014-05-04 DOI:10.1080/17442508.2013.797423

Huai Xu, L. Tang

引用次数: 5

Abstract

Let be an array of rowwise asymptotically almost negatively associated (NA) random variables which is stochastically dominated by a random variable X. Wang et al. [11] studied the complete convergence for arrays of rowwise asymptotically almost NA random variables under the condition that X has an index-order moment, which seems too strong. We will further study the complete convergence for arrays of rowwise asymptotically almost NA random variables under the condition that X has a power-order moment, which is weaker than index-order moment. Our results improve the corresponding ones of Wang et al. [11].

查看原文本刊更多论文

关于行AANA随机变量数组的完全收敛性

设一个随机变量X随机支配的行渐近几乎负相关(NA)随机变量数组。Wang等[11]研究了X具有指数阶矩的情况下，行渐近几乎负相关(NA)随机变量数组的完全收敛性，这个条件似乎太强了。我们将进一步研究在X具有弱于索引阶矩的幂阶矩的条件下，行渐近近NA随机变量数组的完全收敛性。我们的结果改进了Wang等人[11]的相应结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Stochastics-An International Journal of Probability and Stochastic Processes MATHEMATICS, APPLIED-STATISTICS & PROBABILITY

CiteScore

1.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Stochastics: An International Journal of Probability and Stochastic Processes is a world-leading journal publishing research concerned with stochastic processes and their applications in the modelling, analysis and optimization of stochastic systems, i.e. processes characterized both by temporal or spatial evolution and by the presence of random effects. Articles are published dealing with all aspects of stochastic systems analysis, characterization problems, stochastic modelling and identification, optimization, filtering and control and with related questions in the theory of stochastic processes. The journal also solicits papers dealing with significant applications of stochastic process theory to problems in engineering systems, the physical and life sciences, economics and other areas. Proposals for special issues in cutting-edge areas are welcome and should be directed to the Editor-in-Chief who will review accordingly. In recent years there has been a growing interaction between current research in probability theory and problems in stochastic systems. The objective of Stochastics is to encourage this trend, promoting an awareness of the latest theoretical developments on the one hand and of mathematical problems arising in applications on the other.