Model selection with estimated factors and idiosyncratic components

Fosten, Jack (2017) Model selection with estimated factors and idiosyncratic components. Journal of Applied Econometrics, 32 (6). 1087–1106. ISSN 0883-7252

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Abstract

This paper provides consistent information criteria for the selection of forecasting models which use a subset of both the idiosyncratic and common factor components of a big dataset. This hybrid model approach has been explored by recent empirical studies to relax the strictness of pure factor-augmented model approximations, but no formal model selection procedures have been developed. The main difference to previous factor-augmented model selection procedures is that we must account for estimation error in the idiosyncratic component as well as the factors. Our main contribution is to show the conditions required for selection consistency of a class of information criteria which reflect this additional source of estimation error. We show that existing factor-augmented model selection criteria are inconsistent in circumstances where N is of larger order than root-T, where N and T are the cross-section and time series dimensions of the dataset respectively, and that the standard BIC is inconsistent regardless of the relationship between N and T. We therefore propose a new set of information criteria which guarantee selection consistency in the presence of estimated idiosyncratic components. The properties of these new criteria are explored through a Monte Carlo simulation study. The paper concludes with an empirical application to long-horizon exchange rate forecasting using a recently proposed model with country-specific idiosyncratic components from a panel of global exchange rates.

Item Type: Article
Uncontrolled Keywords: forecasting,factor model,model selection,information criteria,idiosyncratic
Faculty \ School: Faculty of Social Sciences > School of Economics
Depositing User: Pure Connector
Date Deposited: 08 Feb 2017 04:21
Last Modified: 11 Jun 2020 00:17
URI: https://ueaeprints.uea.ac.uk/id/eprint/62351
DOI: 10.1002/jae.2567

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