Nonparametric relative error estimation of the regression function for left truncated and right censored time series data

被引:4
作者
Bayarassou, N. [1 ]
Hamrani, F. [1 ]
Said, E. Ould [2 ,3 ]
机构
[1] USTHB, Fac Math, Lab MSTD, Algiers, Algeria
[2] Univ Littoral Cote dOpale, LMPA, Calais, France
[3] ULCO, LMPA, IUT Calais 19,Rue Louis David,BP 699, F-62228 Calais, France
关键词
Kernel estimate; relative error regression; strong mixing condition; strong uniform convergence; truncated-censored data; DENSITY-ESTIMATION; PREDICTION; PROBABILITY;
D O I
10.1080/10485252.2023.2241572
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
The paper introduces a nonparametric estimator for the regression function of left truncated and right censored data, achieved through minimising the mean squared relative error. Under & alpha;-mixing condition, strong uniform convergence of the estimator is established with a rate over a compact set. An extensive simulation study is conducted to assess the estimator's performance, comparing its efficiency to that of the classical regression estimator for finite samples across various scenarios. Moreover, a real world application is presented to demonstrate the practical utility of the proposed estimator.
引用
收藏
页码:706 / 729
页数:24
相关论文
共 29 条
[1]   Functional data analysis: estimation of the relative error in functional regression under random left-truncation model [J].
Altendji, Belkais ;
Demongeot, Jacques ;
Laksaci, Ali ;
Rachdi, Mustapha .
JOURNAL OF NONPARAMETRIC STATISTICS, 2018, 30 (02) :472-490
[2]  
[Anonymous], 1994, MIXING PROPERTIES EX
[3]   Nonparametric relative error regression for spatial random variables [J].
Attouch, Mohammed ;
Laksaci, Ali ;
Messabihi, Nafissa .
STATISTICAL PAPERS, 2017, 58 (04) :987-1008
[4]   Strong uniform consistency rate of an M-estimator of regression function for incomplete data under α-mixing condition [J].
Benseradj, Hassiba ;
Guessoum, Zohra .
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2022, 51 (07) :2082-2115
[5]  
Bey S., 2022, COMMUNICATIONS STAT, V52, P1
[6]  
Bouabsa W, 2021, APPL APPL MATH, V16, P97
[7]  
Bouhadjera F., 2019, NONPARAMETRIC RELATI
[8]   Strong consistency of the nonparametric local linear regression estimation under censorship model [J].
Bouhadjera, Feriel ;
Ould Said, Elias ;
Remita, Mohamed Riad .
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2022, 51 (20) :7056-7072
[9]   Basic Properties of Strong Mixing Conditions. A Survey and Some Open Questions [J].
Bradley, Richard C. .
PROBABILITY SURVEYS, 2005, 2 :107-144
[10]  
Carbonez A., 1995, Statist. Decis, V13, P21, DOI DOI 10.1524/STRM.1995.13.1.21