NSD样本最近邻密度估计的相合性

吉林大学学报(理学版) ›› 2019, Vol. 57 ›› Issue (2): 317-323.

NSD样本最近邻密度估计的相合性

赵珈玉, 陆冬梅

长春理工大学光电信息学院, 长春 130022

收稿日期:2018-06-25 出版日期:2019-03-26 发布日期:2019-03-26
通讯作者: 陆冬梅 E-mail:loverpotato@163.com

Consistency of Nearest Neighbor Estimator of Density Function for NSD Samples#br#

ZHAO Jiayu, LU Dongmei

College of Optical and Electronical Information,Changchun University of Science and Technology, Changchun 130022, China

Received:2018-06-25 Online:2019-03-26 Published:2019-03-26
Contact: LU Dongmei E-mail:loverpotato@163.com

摘要/Abstract

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.

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

Abstract: 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.

Key words: , NSD sample, nearest neighbor estimator of density , function, failure rate function, (weak) strong consistency, (uniform) strong consistency rate

中图分类号:

O211.4

赵珈玉, 陆冬梅. NSD样本最近邻密度估计的相合性[J]. 吉林大学学报(理学版), 2019, 57(2): 317-323.

ZHAO Jiayu, LU Dongmei. Consistency of Nearest Neighbor Estimator of Density Function for NSD Samples#br#[J]. Journal of Jilin University Science Edition, 2019, 57(2): 317-323.

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