基于EV模型ND样本加权和的相合性  

CONSISTENCY OF WEIGHTED SUMS FOR NEGATIVELY DEPENDENT SAMPLES BASED ON EV MODEL

作　　者：兰冲锋[1,2] 

机构地区：[1]阜阳师范学院经济学院,安徽阜阳236037 [2]区域物流规划与现代物流工程安徽省重点实验室,安徽阜阳236037

出　　处：《数学杂志》2017年第5期1047-1053,共7页Journal of Mathematics

基　　金：国家自然科学基金资助(71571174);安徽省高校自然科学研究重点项目基金资助(KJ2016A876;KJ2015A182)

摘　　要：本文研究变系数EV模型的ND样本加权和的相合性问题.利用ND序列的Bernstein型不等式和截尾的方法,获得了ND样本加权和sum from i=1 to n(W_(ni)(t_0)Y_i)的强、弱相合性,推广了独立随机变量加权和的相合性.In this paper, we discuss consistency of weighted sums for negatively dependent samples based on varying-coefficient EV model. By applying Bernstein type inequality for negatively dependent sequences and truncation methods, the strong and weak consistency of weighted sums for negatively dependent samples are obtained, which extend consistency of weighted sums for independent random variables.

关 键 词：变系数EV模型 ND样本 加权和 相合性 

分 类 号：O212.2[理学—概率论与数理统计]