ND样本最近邻密度估计的相合性  

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

作　　者：刘永辉[1] 吴群英[1] 

机构地区：[1]桂林理工大学理学院,广西桂林541004

出　　处：《吉林大学学报（理学版）》2012年第6期1141-1145,共5页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:11061012);广西自然科学基金(批准号:2011GXNSFA018147);广西研究生教育创新计划项目(批准号:2011105960202M32)

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.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.

关 键 词：ND样本 最近邻密度估计 相合性 

分 类 号：O212.7[理学—概率论与数理统计]