LNQD样本最近邻密度估计的相合性

广西师范大学学报（自然科学版） ›› 2012, Vol. 30 ›› Issue (2): 59-65.

LNQD样本最近邻密度估计的相合性

崔永君, 杨善朝, 梁丹

广西师范大学数学科学学院,广西桂林541004

收稿日期:2012-01-17 出版日期:2012-06-20 发布日期:2018-12-03
通讯作者: 杨善朝(1957—),男,广西玉林人,广西师范大学教授。E-mail:scyang@mailbox.gxnu.edu.cn
基金资助:
国家自然科学基金资助项目(11061007);广西自然科学基金资助项目(2011GXNSFA018133)

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

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

College of Mathematical Science,Guangxi Normal University,Guilin Guangxi 541004,China

Received:2012-01-17 Online:2012-06-20 Published:2018-12-03

摘要/Abstract

摘要： 本文在LNQD样本下研究最近邻密度估计的相合性,给出弱相合性、强相合性、一致强相合性以及它们的收敛速度的充分条件,同时研究了失效率函数估计的一致强相合性。

关键词: LNQD序列, 最近邻密度估计, 相合性

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

中图分类号:

O212.7

崔永君, 杨善朝, 梁丹. LNQD样本最近邻密度估计的相合性[J]. 广西师范大学学报（自然科学版）, 2012, 30(2): 59-65.

CUI Yong-jun, YANG Shan-chao, LIANG Dan. Consistency of Nearest Neighbor Estimation of Density Function for Linearly Negative Quadrant Dependent Samples[J]. Journal of Guangxi Normal University(Natural Science Edition), 2012, 30(2): 59-65.

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