NSD样本最近邻密度估计的相合性

Journal of Jilin University Science Edition ›› 2019, Vol. 57 ›› Issue (2): 317-323.

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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

Abstract

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

CLC Number:

O211.4

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

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