| 基于EV模型ND样本加权和的相合性 |
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| 引用本文： | 兰冲锋.基于EV模型ND样本加权和的相合性[J].数学杂志,2017,37(5):1047-1053. |
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| 作者姓名： | 兰冲锋 |
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| 作者单位： | 阜阳师范学院经济学院, 安徽阜阳 236037;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 |
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| 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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| 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.
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| 关 键 词： | 变系数EV模型 ND样本 加权和 相合性 |
| 收稿时间： | 2014/1/24 0:00:00 |
| 修稿时间： | 2015/4/21 0:00:00 |
CONSISTENCY OF WEIGHTED SUMS FOR NEGATIVELY DEPENDENT SAMPLES BASED ON EV MODEL |
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| LAN Chong-feng.CONSISTENCY OF WEIGHTED SUMS FOR NEGATIVELY DEPENDENT SAMPLES BASED ON EV MODEL[J].Journal of Mathematics,2017,37(5):1047-1053. |
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| Authors: | LAN Chong-feng |
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| Institution: | School of Economics, Fuyang Normal College, Fuyang 236037, China;Anhui Provincial Key Laboratory Regional Logistics Planning and Modern Logistics Engineering, Fuyang 236037, China |
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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. |
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| Keywords: | varying-coefficient EV model negatively dependent samples weighted sums consistency |
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