| LNQD样本最近邻密度估计的相合性 |
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| 引用本文： | 崔永君,杨善朝,梁丹.LNQD样本最近邻密度估计的相合性[J].广西师范大学学报(自然科学版),2012,30(2):59-65. |
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| 作者姓名： | 崔永君 杨善朝 梁丹 |
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| 作者单位： | 广西师范大学数学科学学院,广西桂林,541004 |
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| 基金项目： | 国家自然科学基金，广西自然科学基金 |
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| 摘 要： | 本文在LNQD样本下研究最近邻密度估计的相合性,给出弱相合性、强相合性、一致强相合性以及它们的收敛速度的充分条件,同时研究了失效率函数估计的一致强相合性。
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| 关 键 词： | LNQD序列 最近邻密度估计 相合性 |
Consistency of Nearest Neighbor Estimation of Density Function for Linearly Negative Quadrant Dependent Samples |
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| CUI Yong-jun
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YANG Shan-chao
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LIANG Dan.Consistency of Nearest Neighbor Estimation of Density Function for Linearly Negative Quadrant Dependent Samples[J].Journal of Guangxi Normal University(Natural Science Edition),2012,30(2):59-65. |
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| Authors: | CUI Yong-jun YANG Shan-chao LIANG Dan |
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| Institution: | (College of Mathematical Science,Guangxi Normal University,Guilin Guangxi 541004,China) |
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| Abstract: | The consistency of nearest density estimator for linearly negative quadrant dependent samples is discussed.Some sufficient conditions for week consistency,strong consistency,uniformly strong consistency and consistent rates are given.At the same time,the uniformly strong consistency of the hazard rate estimation is researched in this paper. |
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| Keywords: | linearly negative quadrant dependent nearest neighbor density estimator consistency |
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