Binghamton University


DEPARTMENT OF MATHEMATICAL SCIENCES
STATISTICS SEMINAR


DATE: Friday, November 17, 2006
TIME: 4:40-5:40 PM
PLACE: LN 2205
SPEAKER: Marc Hallin, Universite Libre de Bruxelles
TITLE: The General Dynamic Factor Model: Determining the Number of Factors

Abstract


In this talk we briefly review estimation methods in the dynamic factor model, and propose an information criterion for determining the number q of factors in the general model developed by Forni et al. (2000), as opposed to the static and restricted dynamic models considered in Bai and Ng (2002, 2005) or Amengual and Watson (2006). Our criterion is based on the fact that this number q is also the number of diverging eigenvalues of the spectral density matrix of the observations as the cross-sectional dimension n goes to infinity. We provide sufficient conditions for consistency of the criterion for large n and T (where T is the series length). We show how the method can be implemented, and provide simulations and empirics illustrating its excellent finite sample performance. Application to real data brings some new empirical contribution in the ongoing debate on the number of factors driving the US economy.