Local linear quantile regression with truncated and dependent data

被引:2
作者
Wang, Jiang-Feng [1 ]
Ma, Wei-Min [2 ]
Fan, Guo-Liang [3 ]
Wen, Li-Min [4 ]
机构
[1] Zhejiang Gongshang Univ, Dept Stat, Hangzhou 310018, Peoples R China
[2] Tongji Univ, Sch Econ & Management, Shanghai 200092, Peoples R China
[3] Jiangxi Normal Univ, Dept Stat, Nanchang 330022, Jiangxi, Peoples R China
[4] Anhui Polytech Univ, Sch Math & Phys, Wuhu 241000, Peoples R China
基金
中国国家自然科学基金;
关键词
Asymptotic normality; Regression quantile; Local linear fitting; Truncated data; alpha-mixing; ASYMPTOTIC PROPERTIES; ESTIMATOR;
D O I
10.1016/j.spl.2014.09.029
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
In this paper, we construct a nonparametric regression quantile estimator by using the local linear fitting for left-truncated data, and establish the Bahadur-type representation and asymptotic normality of the proposed estimator when the observations form a stationary a-mixing sequence. Finite-sample performance of the estimator is investigated via simulation studies. (C) 2014 Elsevier B.V. All rights reserved.
引用
收藏
页码:232 / 240
页数:9
相关论文
共 21 条
[1]   ONE-STEP HUBER ESTIMATES IN LINEAR-MODEL [J].
BICKEL, PJ .
JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1975, 70 (350) :428-434
[2]   Nonparametric Quantile Estimations for Dynamic Smooth Coefficient Models [J].
Cai, Zongwu ;
Xu, Xiaoping .
JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 2009, 104 (485) :371-383
[3]  
El Ghouch A, 2009, STAT SINICA, V19, P1621
[4]   Nonparametric prediction by conditional median and quantiles [J].
Gannoun, A ;
Saracco, J ;
Yu, KM .
JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2003, 117 (02) :207-223
[5]   Local linear spatial quantile regression [J].
Hallin, Marc ;
Lu, Zudi ;
Yu, Keming .
BERNOULLI, 2009, 15 (03) :659-686
[6]  
He S., 1994, STAT DECISION THEORY, V5, P73
[7]  
Heyde ChristopherC., 1980, Martingale Limit Theory and Its Application, Probability and mathematical statistics
[8]  
Hunter DR, 2000, J COMPUT GRAPH STAT, V9, P60
[9]  
Klein J. P., 2003, Survival Analysis: Techniques for Censored and Truncated Data, VSecond
[10]   Conditional quantile estimation and inference for ARCH models [J].
Koenker, R ;
Zhao, QS .
ECONOMETRIC THEORY, 1996, 12 (05) :793-813