Tuning parameter selectors for the smoothly clipped absolute deviation method

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ID: 305578
2007
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Abstract
The penalized least squares approach with smoothly clipped absolute deviation penalty has been consistently demonstrated to be an attractive regression shrinkage and selection method. It not only automatically and consistently selects the important variables, but also produces estimators which are as efficient as the oracle estimator. However, these attractive features depend on appropriate choice of the tuning parameter. We show that the commonly used generalized crossvalidation cannot select the tuning parameter satisfactorily, with a nonignorable overfitting effect in the resulting model. In addition, we propose a BIC tuning parameter selector, which is shown to be able to identify the true model consistently. Simulation studies are presented to support theoretical findings, and an empirical example is given to illustrate its use in the Female Labor Supply data.
Reference Key
openalex_W2086205459 Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors Hansheng Wang, Runze Li, C.-L. Tsai
Journal jurnal biometrika dan kependudukan
Year 2007
DOI
10.1093/biomet/asm053
URL
https://doi.org/10.1093/biomet/asm053
Keywords Keywords not found

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