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

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

LIU Yonghui, WU Qunying   

  1. 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

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

CLC Number: 

  • O212.7