Incorrect asymptotic size of subsampling procedures based on post-consistent model selection estimators
AbstractSubsampling and the m out of n bootstrap have been suggested in the literature as methods for carrying out inference based on post-model selection estimators and shrinkage estimators. In this paper we consider a subsampling confidence interval (CI) that is based on an estimator that can be viewed either as a post-model selection estimator that employs a consistent model selection procedure or as a super-efficient estimator. We show that the subsampling CI (of nominal level 1-[alpha] for any [alpha][set membership, variant](0,1)) has asymptotic confidence size (defined to be the limit of finite-sample size) equal to zero in a very simple regular model. The same result holds for the m out of n bootstrap provided m2/n-->0 and the observations are i.i.d. Similar zero-asymptotic-confidence-size results hold in more complicated models that are covered by the general results given in the paper and for super-efficient and shrinkage estimators that are not post-model selection estimators. Based on these results, subsampling and the m out of n bootstrap are not recommended for obtaining inference based on post-consistent model selection or shrinkage estimators.
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Bibliographic InfoArticle provided by Elsevier in its journal Journal of Econometrics.
Volume (Year): 152 (2009)
Issue (Month): 1 (September)
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Web page: http://www.elsevier.com/locate/jeconom
Asymptotic size Confidence set Finite-sample size m out of n bootstrap Model selection Shrinkage estimator Subsample Subsampling;
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- Lorenzo Camponovo & Olivier Scaillet & Fabio Trojani, 2006.
Swiss Finance Institute Research Paper Series
06-33, Swiss Finance Institute.
- Guggenberger, Patrik, 2010. "The impact of a Hausman pretest on the size of a hypothesis test: The panel data case," Journal of Econometrics, Elsevier, vol. 156(2), pages 337-343, June.
- Andrews, Donald W.K. & Guggenberger, Patrik, 2010.
"Applications of subsampling, hybrid, and size-correction methods,"
Journal of Econometrics,
Elsevier, vol. 158(2), pages 285-305, October.
- Donald W.K. Andrews & Patrik Guggenberger, 2007. "Applications of Subsampling, Hybrid, and Size-Correction Methods," Cowles Foundation Discussion Papers 1608, Cowles Foundation for Research in Economics, Yale University.
- Adam McCloskey, 2012. "Bonferroni-Based Size-Correction for Nonstandard Testing Problems," Working Papers 2012-16, Brown University, Department of Economics.
- Donald W.K. Andrews & Xu Cheng & Patrik Guggenberger, 2011. "Generic Results for Establishing the Asymptotic Size of Confidence Sets and Tests," Cowles Foundation Discussion Papers 1813, Cowles Foundation for Research in Economics, Yale University.
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