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.
出处
《数学杂志》
北大核心
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)
关键词
变系数EV模型
ND样本
加权和
相合性
varying-coefficient EV model
negatively dependent samples
weighted sums
consistency
