变系数EV模型ND样本加权和的相合性  

The consistency for weighted sums of ND sample in varying-coefficient EV models

作　　者：许雪[1] 程 

机构地区：[1]湖北大学数学与统计学学院,湖北武汉430062

出　　处：《湖北大学学报（自然科学版）》2015年第5期442-446,共5页Journal of Hubei University：Natural Science

摘　　要：利用ND序列的Bernstein型不等式和截尾的方法,研究变系数EV模型的ND样本加权和的相合性问题,获得ND样本加权和n∑i=1Wni(t0)Yi的强、弱相合性,推广独立随机变量加权和的相合性.We study the consistency for weighted sums of ND sample in varying-coefficient EV models byusing ND sequence＇s Bernstein inequality and truncated method. As a result,we obtain strong and weakconsistency for weighted sums of ND sample and extend the consistency for weighted sums of independentrandom 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]