Open Access
VOL. 6 | 2010 Model selection error rates in nonparametric and parametric model comparisons
Yongsung Joo, Martin T. Wells, George Casella

Editor(s) James O. Berger, T. Tony Cai, Iain M. Johnstone

Inst. Math. Stat. (IMS) Collect., 2010: 166-183 (2010) DOI: 10.1214/10-IMSCOLL612


Since the introduction of Akaike’s information criteria (AIC) in 1973, numerous information criteria have been developed and widely used in model selection. Many papers concerning the justification of various model selection criteria followed, particularly with respect to model selection error rates (the probability of selecting a wrong model). A model selection criterion is called consistent if the model selection error rate decreases to zero as the sample size increases to infinity. Otherwise, it is inconsistent. In this paper, we explore sufficient consistency conditions for information criteria in the nonparametric (logspline) and parametric model comparison setting, and discuss finite sample model selection error rates.


Published: 1 January 2010
First available in Project Euclid: 26 October 2010

MathSciNet: MR2798518

Digital Object Identifier: 10.1214/10-IMSCOLL612

Primary: 62G20
Secondary: 62F99 , 62G08

Keywords: consistent model selection , log spline model , Nonparametric regression , spline regression

Rights: Copyright © 2010, Institute of Mathematical Statistics

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