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CATEGORIES:Seminars
DESCRIPTION:We study the asymptotic bias of the factor-augmented regression estimator and its correction, augmented by r factors extracted from N variables over T observations. We consider general weak latent factor models with r signal eigenvalues that may diverge at different rates Nαk, 0<αk≤1, k=1,…,r. In the literature, the bias has been derived using an approximation based on a specific data-dependent rotation matrix Ĥ for models with αk=1 for all k. We instead derive the bias for general weak factor models without this restriction, and consider three rotation matrices: the data-dependent Ĥ and Ĥq, and their population counterpart H. We show that they induce distinct rotation-specific parameters, resulting in different asymptotic biases. This highlights the importance of explicitly specifying the rotation, as it determines the parameter being estimated and the associated asymptotic bias. Among these, the parameter associated with the population rotation matrix Ĥ is uniquely defined given signal components and particularly suitable for inference. Based on these results, we propose analytically bias-corrected estimators that do not require estimating αk, and establish their asymptotic normality centered at zero. Finite sample experiments show that the proposed bias-corrected estimators perform very well, and an empirical application illustrates its practical usefulness.752494
DTSTAMP:20260525T150227
DTSTART:20260529T133000
DTEND:20260529T144500
LOCATION:Syndicate Room B
SUMMARY;LANGUAGE=en-us:Econometric Seminar
UID:bb4288a8137922abf0c710443c244670@www.exeter.ac.uk
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