On Consistency of the Nearest Neighbor Estimator of the Density Function and Its Applications

被引：6
|
作者：
Wu, Yi [1 ]
Wang, Xue Jun [1 ]
机构：
[1] Anhui Univ, Sch Math Sci, Hefei 230601, Anhui, Peoples R China
来源：
ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2019年 / 35卷 / 05期
基金：
中国国家自然科学基金;
关键词：
Nearest neighbor estimator; weak consistency; strong consistency; uniform consistency; hazard rate function estimator;
D O I：
10.1007/s10114-019-8099-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we mainly study the consistency of the nearest neighbor estimator of the density function based on asymptotically almost negatively associated samples. The weak consistency, strong consistency, uniformly strong consistency and the convergence rates are established under some mild conditions. As applications, we further investigate the strong consistency and the rate of strong consistency for hazard rate function estimator.
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页码：703 / 720
页数：18
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