Preliminary test and Stein-type shrinkage LASSO-based estimators

Author

Norouzirad, Mina

Arashi, Mohammad

Publication date

2018

Abstract

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.

Document Type

Article

Language

English

Subjects and keywords

Double shrinking; LASSO; Preliminary test LASSO; Restricted lasso; Stein-type shrinkage LASSO

Publisher

 

Related items

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SORT : statistics and operations research transactions ; Vol. 42 Núm. 1 (January-June 2018), p. 45-58

Rights

open access

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