J4 ›› 2012, Vol. 47 ›› Issue (12): 6-9.

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The rate of strong consistency of nearest neighbor density  estimator for ND samples

NI Zhan, WU Qun-ying*, SHI Sheng-ta   

  1. Department of Science, Guilin University of Technology, Guilin 541004, Guangxi, China
  • Received:2012-01-01 Online:2012-12-20 Published:2012-12-14

Abstract:

The rate of strong consistency of nearest neighbor density estimator for negatively dependent(ND) samples was studied.And some sufficent conditions for strong consistent rate were obtained under the moment inequality and some suitable conditions.

Key words: ND sequence; nearest neighbor density estimator; strong consistent rate

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