期刊论文

行为渐近几乎负相关随机变量阵列加权和的完全矩收敛性

中文

数学进展

1000-0917

2019

48

1

110-120

10.11845/sxjz.2017125b

supported by the Humanities and Social Sciences Foundation for the Youth Scholars of Ministry of Education of China（No.15YJCZH066）； the Science and Technology Plan Project of Hunan Province（No.2016TP1020）； the Science and Technology Plan Project of Hengyang City（No.2017KJ183）； the Construct Program of the Key Discipline in Hunan Province and University Students Research and Innovation Experiment Project of Hunan Province（No.C1718）； the Scientific Research Fund of Hunan Provincial Education Department（No.17A030）； Hunan Provincial Natural Science Foundation of China（No.2018JJ4024）； the 2018 National Statistical Science Research Project of China（No.2018LY05）；

本校为第一机构

本文考虑行为渐近几乎负相关(AANA)随机变量阵列加权和的完全矩收敛性,在未同分布假设下建立了完全矩收敛性的一些充分条件.获得的主要结果分别推广和改进了负相关随机变量和渐近几乎负相关随机变量的相应结论.

In this work, the authors consider the complete moment convergence for weighted sums of arrays of rowwise asymptotically almost negatively associated (AANA, in short) random variables, and establish some sufficient conditions for the complete moment convergence without assumption of identical distribution. The main result obtained generalizes and improves the corresponding ones for negatively associated and asymptotically almost neg...