English

Variable selection in multiple regression with random design

Statistics Theory 2015-06-29 v1 Statistics Theory

Abstract

We propose a method for variable selection in multiple regression with random predictors. This method is based on a criterion that permits to reduce the variable selection problem to a problem of estimating suitable permutation and dimensionality. Then, estimators for these parameters are proposed and the resulting method for selecting variables is shown to be consistent. A simulation study that permits to gain understanding of the performances of the proposed approach and to compare it with an existing method is given.

Keywords

Cite

@article{arxiv.1506.08022,
  title  = {Variable selection in multiple regression with random design},
  author = {Alban Mbina Mbina and Guy Martial Nkiet and Assi Nguessan},
  journal= {arXiv preprint arXiv:1506.08022},
  year   = {2015}
}
R2 v1 2026-06-22T10:00:47.152Z