CONSISTENCY OF WAVELET REGRESSION ESTIMATOR BASED ON BIASED DATA

被引：0

作者：

Guo, Huijun ^{[1
]}

Kou, Junke ^{[1
]}

机构：

[1] Guilin Univ Elect Technol, Sch Math & Computat Sci, Guilin, Guangxi, Peoples R China

来源：

MATHEMATICAL REPORTS | 2022年 / 24卷 / 04期

基金：

中国国家自然科学基金;

关键词：

consistency; regression estimation; biased data; wavelets;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

When regression function belongs to Besov space, wavelet estimations are investigated by Chesneau and Shirazi (2014), Kou and Liu (2016, 2017). However, in many practical applications, one does not know whether the regression function is smooth or not. It makes sense to discuss consistency of wavelet estimator. This paper considers the mean L-p (1 <= p <= infinity) consistency of wavelet estimator for multivariate regression functions based on biased data.

引用

页码：603 / 615

页数：13

共 11 条

[1] On MISE of a Non linear Wavelet Estimator of the Regression Function Based on Biased Data under Strong Mixing
Chaubey, Yogendra P.
Shirazi, Esmaeil
[J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2015, 44 (05) : 885 - 899
[2] Wavelet-based estimation of regression function for dependent biased data under a given random design
Chaubey, Yogendra P.
Chesneau, Christophe
Shirazi, Esmaeil
[J]. JOURNAL OF NONPARAMETRIC STATISTICS, 2013, 25 (01) : 53 - 71
[3] Nonparametric Wavelet Regression Based on Biased Data
Chesneau, Christophe
Shirazi, Esmaeil
[J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2014, 43 (13) : 2642 - 2658
[4] The mean consistency of wavelet density estimators
Geng, Zijuan
Wang, Jinru
[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2015, : 1 - 14
[5] Kerkyacharian G., 1998, Wavelets, Approximation, and Statistical Applications, V129
[6] Non parametric regression estimations over Lp risk based on biased data
Kou, Junke
Liu, Youming
[J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2017, 46 (05) : 2375 - 2395
[7] An extension of Chesneau's theorem
Kou, Junke
Liu, Youming
[J]. STATISTICS & PROBABILITY LETTERS, 2016, 108 : 23 - 32
[8] On the Lp-Consistency of Wavelet Estimators
Liu, You Ming
Xu, Jun Lian
[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2016, 32 (07) : 765 - 782
[9] Meyer Y., 1990, ACTUALITES MATH
[10] Kernel regression in the presence of size-bias
Sköld, M
[J]. JOURNAL OF NONPARAMETRIC STATISTICS, 1999, 12 (01) : 41 - 51

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