Preliminary test and Stein-type shrinkage LASSO-based estimators

Suppose the regression vector-parameter is subjected to lie in a subspace hypothesis in a linear regression model. In situations where the use of least absolute and shrinkage selection operator (LASSO) is desired, we propose a restricted LASSO estimator. To improve its performance, LASSO-type shrink...

ver descrição completa

Detalhes bibliográficos
Autores: Norouzirad, Mina, Arashi, Mohammad
Tipo de documento: artigo
Data de publicação:2018
País:España
Recursos:Universitat Autònoma de Barcelona
Repositório:Dipòsit Digital de Documents de la UAB
Idioma:inglês
OAI Identifier:oai:ddd.uab.cat:191249
Acesso em linha:https://ddd.uab.cat/record/191249
https://dx.doi.org/urn:doi:10.2436/20.8080.02.68
Access Level:Acceso aberto
Palavra-chave:Double shrinking
LASSO
Preliminary test LASSO
Restricted lasso
Stein-type shrinkage LASSO
Descrição
Resumo:Suppose the regression vector-parameter is subjected to lie in a subspace hypothesis in a linear regression model. In situations where the use of least absolute and shrinkage selection operator (LASSO) is desired, we propose a restricted LASSO estimator. To improve its performance, LASSO-type shrinkage estimators are also developed and their asymptotic performance is studied. For numerical analysis, we used relative efficiency and mean prediction error to compare the estimators which resulted in the shrinkage estimators to have better performance compared to the LASSO.