Empirical likelihood test for high dimensional linear models

被引:6
|
作者
Peng, Liang [1 ]
Qi, Yongcheng [2 ]
Wang, Ruodu [3 ]
机构
[1] Georgia Inst Technol, Sch Math, Atlanta, GA 30332 USA
[2] Univ Minnesota, Dept Math & Stat, Duluth, MN 55812 USA
[3] Univ Waterloo, Dept Stat & Actuarial Sci, Waterloo, ON N2L 3G1, Canada
基金
加拿大自然科学与工程研究理事会; 美国国家科学基金会;
关键词
Empirical likelihood; High-dimensional data; Hypothesis test; Linear model; P-REGRESSION PARAMETERS; ASYMPTOTIC-BEHAVIOR; VARIABLE SELECTION; M-ESTIMATORS; LASSO; P2/N;
D O I
10.1016/j.spl.2013.12.019
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 propose an empirical likelihood method to test whether the coefficients in a possibly high-dimensional linear model are equal to given values. The asymptotic distribution of the test statistic is independent of the number of covariates in the linear model. (C) 2013 Elsevier B.V. All rights reserved.
引用
收藏
页码:85 / 90
页数:6
相关论文
共 50 条
  • [41] Empirical likelihood for generalized linear models with longitudinal data
    Li, Daoji
    Pan, Jianxin
    JOURNAL OF MULTIVARIATE ANALYSIS, 2013, 114 : 63 - 73
  • [42] Empirical likelihood for generalized linear models with missing responses
    Xue, Dong
    Xue, Liugen
    Cheng, Weihu
    JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2011, 141 (06) : 2007 - 2020
  • [43] New empirical likelihood inference for linear transformation models
    Yang, Hanfang
    Zhao, Yichuan
    JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2012, 142 (07) : 1659 - 1668
  • [44] Two-sample high-dimensional empirical likelihood
    Fang, Jianglin
    Liu, Wanrong
    Lu, Xuewen
    COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2017, 46 (13) : 6323 - 6335
  • [45] Jackknife empirical likelihood for the error variance in linear models
    Lin, Hui-Ling
    Li, Zhouping
    Wang, Dongliang
    Zhao, Yichuan
    JOURNAL OF NONPARAMETRIC STATISTICS, 2017, 29 (02) : 151 - 166
  • [46] High-dimensional empirical likelihood inference
    Chang, Jinyuan
    Chen, Song Xi
    Tang, Cheng Yong
    Wu, Tong Tong
    BIOMETRIKA, 2021, 108 (01) : 127 - 147
  • [47] Weighted likelihood transfer learning for high-dimensional generalized linear models
    Liu, Zhaolei
    Lin, Lu
    STATISTICS, 2024, 58 (03) : 690 - 722
  • [48] Empirical likelihood in single-index quantile regression with high dimensional and missing observations
    Wang, Bao-Hua
    Liang, Han-Ying
    JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2023, 226 : 1 - 19
  • [49] Empirical likelihood for response differences in two linear regression models with missing data
    Yong-song Qin
    Tao Qiu
    Qing-zhu Lei
    Acta Mathematicae Applicatae Sinica, English Series, 2015, 31 : 963 - 976
  • [50] EMPIRICAL LIKELIHOOD-BASED INFERENCE IN LINEAR MODELS WITH INTERVAL CENSORED DATA
    He Qixiang Zheng Ming Department of Applied Mathematics
    Applied Mathematics:A Journal of Chinese Universities, 2005, (03) : 338 - 346