| NSD样本最近邻密度估计的强相合性 |
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| 引用本文： | 聂彩玲 李永明 应 锐. NSD样本最近邻密度估计的强相合性[J]. 应用数学, 2019, 32(4): 865-871 |
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| 作者姓名： | 聂彩玲 李永明 应 锐 |
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| 作者单位： | 1. 南昌大学理学院, 江西 南昌 330031; 2. 上饶师范学院数学与计算机科学学院, 江西 上饶 334001; 3. 上海财经大学统计与管理学院, 上海 200433; 4. 上饶师范学校, 江西 上饶 334001 |
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| 基金项目： | 国家自然科学基金资助项目(11461057,11561010);国家自然科学基金委重点项目(71331006) |
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| 摘 要： | 本文研究负超可加相依样本的最近邻密度估计强相合性.利用负超可加相依序列的不等式与性质,获得最近邻密度估计的弱相合性、强相合性和一致强相合性.
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| 关 键 词： | 负超可加相依 最近邻密度估计 强相合性 |
Strong Consistency of Nearest Neighbor Estimator of Density Function for NSD Sequences |
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| NIE Cailing,LI Yongming,YING Rui. Strong Consistency of Nearest Neighbor Estimator of Density Function for NSD Sequences[J]. Mathematica Applicata, 2019, 32(4): 865-871 |
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| Authors: | NIE Cailing LI Yongming YING Rui |
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| Affiliation: | (College of Sciences, Nanchang University, Nangchang 330031, China;School of Mathematics and Computer Science, Shangrao Normal University, Shangrao 334001,China;School of Statistics and Management, Shanghai University of Finance and Economics, Shanghai 200433, China;Shangrao Normal School, Shangrao 334001,China) |
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| Abstract: | In this paper, we study strong consistency of the nearest neighbor density estimator for NSD samples. By using the inequality and property of NSD, we obtian the weak consistency , strong consistency and uniformly strong consistency of the nearest neighbor estimator for unknown probability density function. |
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| Keywords: | NSD sample Nearest neighbor density estimator Strong consistency |
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