ND样本最近邻密度估计的相合性

J4 ›› 2012, Vol. 50 ›› Issue (06): 1141-1145.

ND样本最近邻密度估计的相合性

刘永辉, 吴群英

桂林理工大学理学院, 广西桂林 541004

收稿日期:2011-12-29 出版日期:2012-11-26 发布日期:2012-11-26
通讯作者: 吴群英 E-mail:wqy666@glite.edu.cn

Consistency of Nearest Neighbor Estimator of Density Functionfor Negatively Dependent Samples

LIU Yonghui, WU Qunying

College of Science, Guilin University of Technology, Guilin 541004, Guangxi Zhuang Autonomous Region, China

Received:2011-12-29 Online:2012-11-26 Published:2012-11-26
Contact: WU Qunying E-mail:wqy666@glite.edu.cn

摘要/Abstract

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.

关键词: ND样本；最近邻密度估计；相合性

Abstract:

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.

Key words: negatively dependent sample, nearest neighbor density estimator, consistency

中图分类号:

O212.7

刘永辉, 吴群英. ND样本最近邻密度估计的相合性[J]. J4, 2012, 50(06): 1141-1145.

LIU Yong-Hui, TUN Qun-Yang. Consistency of Nearest Neighbor Estimator of Density Functionfor Negatively Dependent Samples[J]. J4, 2012, 50(06): 1141-1145.

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