Variable selection in multivariate linear regression with random predictors

被引:0
|
作者
Mbina, Alban Mbina [1 ]
Nkiet, Guy Martial [1 ]
N'guessan, Assi [2 ]
机构
[1] Univ Sci & Tech Masuku, Dept Math & Informat, Franceville, Gabon
[2] Univ Lille, Lab Paul Painleve, UMR CNRS 8524, F-59655 Villeneuve dAscq, France
关键词
Multivariate linear regression; Selection criterion; Variable selection; MODEL SELECTION; MULTIPLE-REGRESSION; CRITERION;
D O I
10.37920/sasj.2023.57.1.3
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 a method for variable selection in multivariate regression with random predictors. This method is based on a criterion that permits to reduce the variable selection problem to a problem of estimating a suitable set. Then, an estimator for this set is proposed and the resulting method for selecting variables is shown to be consistent. A simulation study that permits to study several properties of the proposed approach and to compare it with existing methods is given.
引用
收藏
页码:27 / 44
页数:18
相关论文
共 50 条
  • [31] Variable selection in functional linear concurrent regression
    Ghosal, Rahul
    Maity, Arnab
    Clark, Timothy
    Longo, Stefano B.
    [J]. JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES C-APPLIED STATISTICS, 2020, 69 (03) : 565 - 587
  • [32] ROBUST CRITERION FOR VARIABLE SELECTION IN LINEAR REGRESSION
    Patil, A. B.
    Kashid, D. N.
    [J]. INTERNATIONAL JOURNAL OF AGRICULTURAL AND STATISTICAL SCIENCES, 2009, 5 (02): : 509 - 521
  • [33] Bayesian variable and transformation selection in linear regression
    Hoeting, JA
    Raftery, AE
    Madigan, D
    [J]. JOURNAL OF COMPUTATIONAL AND GRAPHICAL STATISTICS, 2002, 11 (03) : 485 - 507
  • [34] Tag SNP selection based on multivariate linear regression
    He, Jingwu
    Zelikovsky, Alex
    [J]. COMPUTATIONAL SCIENCE - ICCS 2006, PT 2, PROCEEDINGS, 2006, 3992 : 750 - 757
  • [35] Consistent variable selection criteria in multivariate linear regression even when dimension exceeds sample size
    Oda, Ryoya
    [J]. HIROSHIMA MATHEMATICAL JOURNAL, 2020, 50 (03) : 339 - 374
  • [36] BayesSUR: An R Package for High-Dimensional Multivariate Bayesian Variable and Covariance Selection in Linear Regression
    Zhao, Zhi
    Banterle, Marco
    Bottolo, Leonardo
    Richardson, Sylvia
    Lewin, Alex
    Zucknick, Manuela
    [J]. JOURNAL OF STATISTICAL SOFTWARE, 2021, 100 (11): : 1 - 32
  • [37] Variable Selection in Seemingly Unrelated Regressions with Random Predictors
    Puelz, David
    Hahn, P. Richard
    Carvalho, Carlos M.
    [J]. BAYESIAN ANALYSIS, 2017, 12 (04): : 969 - 989
  • [38] Variable selection in semiparametric hazard regression for multivariate survival data
    Liu, Jicai
    Zhang, Riquan
    Zhao, Weihua
    Lv, Yazhao
    [J]. JOURNAL OF MULTIVARIATE ANALYSIS, 2015, 142 : 26 - 40
  • [39] VARIABLE SELECTION IN MULTIVARIATE REGRESSION - APPLICATION OF SIMULTANEOUS TEST PROCEDURES
    MCKAY, RJ
    [J]. JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES B-METHODOLOGICAL, 1977, 39 (03): : 371 - 380
  • [40] Bayesian Variable Selection Regression of Multivariate Responses for Group Data
    Liquet, B.
    Mengersen, K.
    Pettitt, A. N.
    Sutton, M.
    [J]. BAYESIAN ANALYSIS, 2017, 12 (04): : 1039 - 1067