ND序列下最近邻密度估计的强相合速度

J4 ›› 2012, Vol. 47 ›› Issue (12): 6-9.

ND序列下最近邻密度估计的强相合速度

倪展,吴群英*,施生塔

桂林理工大学理学院, 广西桂林 541004

收稿日期:2012-01-01 出版日期:2012-12-20 发布日期:2012-12-14
通讯作者: 吴群英(1961- ),女,教授,博士,研究方向为概率统计. Email: wqy666@glite.edu.cn
作者简介:倪展(1987- ),男,硕士研究生,研究方向为概率统计. Email: 229294513@qq.com
基金资助:
国家自然科学基金资助项目(11061012);广西自然科学基金资助项目(2011GXNSFA018147);广西研究生教育创新计划项目(2011105960202M32)

The rate of strong consistency of nearest neighbor density estimator for ND samples

NI Zhan, WU Qun-ying*, SHI Sheng-ta

Department of Science, Guilin University of Technology, Guilin 541004, Guangxi, China

Received:2012-01-01 Online:2012-12-20 Published:2012-12-14

摘要/Abstract

摘要：

在ND(negatively dependent)样本下研究最近邻密度估计的强相合速度,利用ND序列的指数不等式以及ND序列的性质,给出了最近邻密度估计强相合速度的充分条件。

关键词: ND序列;最近邻密度估计;强相合速度

Abstract:

The rate of strong consistency of nearest neighbor density estimator for negatively dependent(ND) samples was studied.And some sufficent conditions for strong consistent rate were obtained under the moment inequality and some suitable conditions.

Key words: ND sequence; nearest neighbor density estimator; strong consistent rate

倪展,吴群英*,施生塔. ND序列下最近邻密度估计的强相合速度[J]. J4, 2012, 47(12): 6-9.

NI Zhan, WU Qun-ying*, SHI Sheng-ta. The rate of strong consistency of nearest neighbor density estimator for ND samples[J]. J4, 2012, 47(12): 6-9.

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