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...

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Detalles Bibliográficos
Autores: Norouzirad, Mina, Arashi, Mohammad
Tipo de recurso: artículo
Fecha de publicación:2018
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:191249
Acceso en línea:https://ddd.uab.cat/record/191249
https://dx.doi.org/urn:doi:10.2436/20.8080.02.68
Access Level:acceso abierto
Palabra clave:Double shrinking
LASSO
Preliminary test LASSO
Restricted lasso
Stein-type shrinkage LASSO
Descripción
Sumario: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.