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-  2017 

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

Keywords: 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

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Abstract:

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∑i=1nWni(t0)Yi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

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