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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∑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. |
关键词: 变系数EV模型 ND样本 加权和 相合性 |
DOI: |
分类号:O212.2 |
基金项目: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) |
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CONSISTENCY OF WEIGHTED SUMS FOR NEGATIVELY DEPENDENT SAMPLES BASED ON EV MODEL |
LAN Chong-feng
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Abstract: |
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. |
Key words: varying-coefficient EV model negatively dependent samples weighted sums consistency |