On Consistency of the Nearest Neighbor Estimator of the Density Function for m-AANA Samples

被引：0

作者：

Liu, Xin ^{[1
]}

Wu, Yi ^{[1
]}

Wang, Wei ^{[1
]}

Zhu, Yong ^{[1
]}

机构：

[1] Chizhou Univ, Ctr Appl Math, Sch Big Data & Artificial Intelligence, Chizhou 247000, Anhui, Peoples R China

来源：

MATHEMATICS | 2023年 / 11卷 / 20期

关键词：

nearest neighbor estimator; weak consistency; m-asymptotically almost negatively associated samples; strong consistency; uniform consistency; LARGE NUMBERS; STRONG LAW; RANDOM-VARIABLES; INEQUALITIES; SEQUENCES;

D O I：

10.3390/math11204391

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, by establishing a Bernstein inequality for m-asymptotically almost negatively associated random variables, some results on consistency for the nearest neighbor estimator of the density function are further established. The results generalize some existing ones in the literature. Some numerical simulations are also provided to support the results.

引用

页数：17

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