A Predictive Approach for Selection of Diffusion Index Models

Tomohiro Ando, Ruey S. Tsay

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


In this article, we propose a predictive mean squared error criterion for selecting diffusion index models, which are useful in forecasting when many predictors are available. A special feature of the proposed criterion is that it takes into account the uncertainty in estimated common factors. The new criterion is based on estimating the predictive mean squared error in forecasting with correction for asymptotic bias. The resulting estimate of bias-corrected forecast-error is shown to be consistent. The proposed criterion is a natural extension of the traditional Akaike information criterion (AIC), but it does not require the distributional assumptions for the likelihood. Results of real data analysis and Monte Carlo simulations demonstrate that the proposed criterion works well in comparison with the commonly used AIC and Bayesian information criteria.

Original languageEnglish
Pages (from-to)68-99
Number of pages32
JournalEconometric Reviews
Issue number1-4
Publication statusPublished - 2014 Feb


  • Approximate factor model
  • Common factor
  • Generated regressor
  • Panel data
  • Predictive measure

ASJC Scopus subject areas

  • Economics and Econometrics


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