END样本最近邻密度估计的一致强相合速度

吉林大学学报(理学版)

END样本最近邻密度估计的一致强相合速度

兰冲锋¹, 吴群英²

1. 阜阳师范学院经济与管理学院, 安徽阜阳 236037； 2. 桂林理工大学理学院, 广西桂林 541004

收稿日期:2013-08-16 出版日期:2014-05-26 发布日期:2014-08-27
通讯作者: 吴群英 E-mail:wqy666@glut.edu.cn

Uniform Strong Consistency Rate of Nearest NeighborEstimator of Density Function for END Samples

LAN Chongfeng¹, WU Qunying²

1. College of Economics and Management, Fuyang Teachers College, Fuyang 236037, Anhui Province, China;2. College of Science, Guilin University of Technology, Guilin 541004, Guangxi Zhuang Autonomous Region, China

Received:2013-08-16 Online:2014-05-26 Published:2014-08-27
Contact: WU Qunying E-mail:wqy666@glut.edu.cn

摘要/Abstract

摘要：

利用扩展负相依（END）序列的Bernstein型不等式, 研究END样本最近邻密度估计的一致强相合速度, 给出了一致强相合性收敛速度的充分条件, 并得到了与NA样本相同的一致强相合收敛速度.

关键词: END序列, 最近邻密度估计, 一致强相合速度

Abstract:

We discussed the uniform strong consistency rate of nearest neighbor estimator of density function for extended negatively dependent (END) samples via Bernstein type inequality for ENDsequences. It gave some sufficient conditions for the uniform strong consistency rate. As a result, we obtained the same uniform strong consistency rate with as that of NA samples.

Key words: extended negatively dependent sequence, nearest neighbor estimator of density function, uniform strong consistency rate

中图分类号:

O212.7

兰冲锋, 吴群英. END样本最近邻密度估计的一致强相合速度[J]. 吉林大学学报(理学版), 2014, 52(03): 494-498.

LAN Chongfeng, WU Qunying. Uniform Strong Consistency Rate of Nearest NeighborEstimator of Density Function for END Samples[J]. Journal of Jilin University Science Edition, 2014, 52(03): 494-498.

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[2]	刘永辉, 吴群英. ND样本最近邻密度估计的相合性[J]. J4, 2012, 50(06): 1141-1145.