Pointwise density estimation for biased sample

被引：10
|
作者：
Guo, Huijun [1 ]
Kou, Junke [1 ]
机构：
[1] Guilin Univ Elect Technol, Sch Math & Computat Sci, Guilin 541004, Guangxi, Peoples R China
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2019年 / 361卷
基金：
中国国家自然科学基金;
关键词：
Pointwise estimation; Density function; l(P) risk; Wavelets; CONVERGENCE;
D O I：
10.1016/j.cam.2019.04.009
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper considers pointwise estimation of multivariate density function based on biased sample. We provide upper bounds of linear and nonlinear wavelet estimators over l(P)(1 <= p <= infinity) risk. It should be pointed out that the convergence rate of nonlinear estimator keeps the same as the linear one up to a ln n factor. Moreover, the nonlinear wavelet estimator is adaptive. Finally, simulation studies illustrate the good performances of our nonparametric wavelet estimators. (C) 2019 Elsevier B.V. All rights reserved.
引用
收藏
页码：444 / 458
页数：15
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