Strong consistency of the nonparametric local linear regression estimation under censorship model

被引：3

作者：

Bouhadjera, Feriel ^{[1
,2
]}

Ould Said, Elias ^{[2
]}

Remita, Mohamed Riad ^{[1
]}

机构：

[1] Univ Badji Mokhtar, Lab Probabilites & Stat, BP 12, Annaba 23000, Algeria

[2] Univ Littoral Cote dOpale, Lab Math Pures & Appl, Calais, France

来源：

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 2022年 / 51卷 / 20期

关键词：

Censored data; local linear estimation; rate of consistency; regression function; survival analysis; uniform almost sure consistency;

D O I：

10.1080/03610926.2020.1870142

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

We introduce and study a local linear nonparametric regression estimator for censorship model. The main goal of this paper is, to establish the uniform almost sure consistency result with rate over a compact set for the new estimate. To support our theoretical result, a simulation study has been done to make comparison with the classical regression estimator.

引用

页码：7056 / 7072

页数：17

共 15 条

[1]

Beran, 1981, TECH REPORT

[2] Weighted local linear approach to censored nonparametric regression [J].

Cai, ZW .

RECENT ADVANCES AND TRENDS IN NONPARAMETRIC STATISTICS, 2003, :217-231

[3]

DABROWSKA DM, 1987, SCAND J STAT, V14, P181

[4]

DEHEUVELS P, 2000, ANN PROBAB, V28

[5]

ELGHOUCH M, 2008, SCAND J STAT, V35

[6]

Fan J., 1996, LOCAL POLYNOMIAL MOD

[7]

FAN J, 1994, J AM STAT ASSOC, V89

[8]

Fan J., 2003, NONLINEAR TIME SERIE

[9]

Fan Jianquing., 1992, J AM STAT ASSOC, V87

[10]

Ferraty FVieu P., 2006, SPR S STAT, DOI 10.1007/0-387-36620-2

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