END样本最近邻密度估计的一致强相合速度

Journal of Jilin University Science Edition

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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

Abstract

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

CLC Number:

O212.7

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

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