两两NQD随机变量序列的完全收敛性

两两NQD随机变量序列的完全收敛性 Complete Convergence for Sequences of Pairwise NQD Random Variables 邱德华 QIU Dehua1 1 first-author 甘师信 GAN Shixin2 2 广东商学院数学与计算科学学院 广东商学院数学与计算科学学院 School of Mathematics and Computational Science,Guangdong University of Business Studies School of Mathematics and Computational Science,Guangdong University of Business Studies 武汉大学数学与统计学院 武汉大学数学与统计学院 School of Mathematics and Statistics,Wuhan University School of Mathematics and Statistics,Wuhan University 利用两两NQD列的Kolmogorov型不等式,在更广泛的条件下,讨论了两两NQD列的完全收敛性,获得了完全收敛性的一系列等价条件,推广和改进了一些文献中相应的结果,同时还得到了任意随机变量序列的完全收敛速度. The complete convergence for sequences of pairwise NQD random variables is discussed under generalized condition by utilizing the Kolmogorov type inequality for pairwise NQD random variables.A series of equivalence relations of the complete convergence are obtained,which improves and extends the related known works in the literature.Furthermore,we obtain a complete convergence rate theorem for arbitrary random variables. 两两NQD列 任意随机变量 完全收敛 pairwise NQD random variable sequence arbitrary random variables complete convergence 10.14188/j.1671-8836.2013.03.012 O211.4 国家自然科学基金（11271161）资助项目 2013-03-01 2021-04-01 3 59