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ND样本最近邻密度估计的相合性 被引量：7

Consistency of Nearest Neighbor Estimator of Density Function for Negatively Dependent Samples
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摘要 利用ND序列的Bernstein不等式,研究ND样本最近邻密度估计的相合性,给出了弱相合性、强相合性的充分条件,所得结果将最近邻密度估计的相合性推广到ND样本. This paper deals with the consistency of nearest neighbor density estimator for negatively dependent samples by using Bernstein inequality,and presents some sufficient conditions for weak and strong consistency. The therom in this paper extended the consistency to the case of negatively dependent samples.
作者 刘永辉 吴群英
机构地区 桂林理工大学理学院
出处 《吉林大学学报（理学版）》 CAS CSCD 北大核心 2012年第6期1141-1145,共5页 Journal of Jilin University:Science Edition
基金 国家自然科学基金(批准号:11061012) 广西自然科学基金(批准号:2011GXNSFA018147) 广西研究生教育创新计划项目(批准号:2011105960202M32)
关键词 ND样本 最近邻密度估计 相合性 negatively dependent sample nearest neighbor density estimator consistency
分类号 O212.7 [理学—概率论与数理统计]
  • 相关文献

参考文献15

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二级参考文献15

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共引文献69

同被引文献40

引证文献7

二级引证文献13

吉林大学学报（理学版）
2012年 第6期

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