NSD样本最近邻密度估计的相合性  

Consistency of Nearest Neighbor Estimator of Density Function for NSD Samples

作　　者：赵珈玉[1] 陆冬梅[1] ZHAO Jiayu;LU Dongmei(College of Optical and Electronical Information,Changchun University of Science and Technology,Changchun 130022,China)

机构地区：[1]长春理工大学光电信息学院,长春130022

出　　处：《吉林大学学报（理学版）》2019年第2期317-323,共7页Journal of Jilin University:Science Edition

基　　金：吉林省自然科学基金(批准号:20170101061JC)

摘　　要：利用负超可加相依(NSD)序列的Bernstein不等式和Borel-Cantelli引理,给出NSD样本最近邻密度估计和失效率函数估计的(弱)强相合性、一致强相合性和(一致)强相合速度.By using Bernstein inequality and Borel-Cantelli lemma of negatively superadditive dependent(NSD)sequence,we gave the(weak)strong consistency,uniform strong consistency and(uniform)strong consistency rate for the nearest neighbor estimator of density function and failure rate function of NSD samples.

关 键 词：NSD样本 最近邻密度估计 失效率函数 (弱)强相合性 (一致)强相合速度 

分 类 号：O211.4[理学—概率论与数理统计]