Journal of Guangxi Normal University(Natural Science Edition) ›› 2012, Vol. 30 ›› Issue (2): 59-65.

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Consistency of Nearest Neighbor Estimation of Density Function for Linearly Negative Quadrant Dependent Samples

CUI Yong-jun, YANG Shan-chao, LIANG Dan   

  1. College of Mathematical Science,Guangxi Normal University,Guilin Guangxi 541004,China
  • Received:2012-01-17 Online:2012-06-20 Published:2018-12-03

Abstract: The consistency of nearest density estimator for linearly negative quadrant dependent samples is discussed.Some sufficient conditionsfor 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.

Key words: linearly negative quadrant dependent, nearest neighbor density estimator, consistency

CLC Number: 

  • O212.7
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