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文章基本信息

  • 标题:Preliminary test and Stein-type shrinkage LASSO-based estimators
  • 作者:Mina Norouzirad ; Mohammad Arashi
  • 期刊名称:SORT-Statistics and Operations Research Transactions
  • 印刷版ISSN:2013-8830
  • 出版年度:2018
  • 卷号:1
  • 期号:1
  • 页码:45-58
  • 语种:English
  • 出版社:SORT- Statistics and Operations Research Transactions
  • 摘要: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.
  • 其他摘要: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.
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