Maximum Likelihood Estimation and Inference for Approximate Factor Models of High Dimension

Jushan Bai and Kunpeng Li
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Kunpeng Li: Capital University of Economics and Business

The Review of Economics and Statistics, 2016, vol. 98, issue 2, 298-309

Abstract: An approximate factor model of high dimension has two key features. First, the idiosyncratic errors are correlated and heteroskedastic over both the cross-section and time dimensions; the correlations and heteroskedasticities are of unknown forms. Second, the number of variables is comparable or even greater than the sample size. Thus, a large number of parameters exist under a high-dimensional approximate factor model. Most widely used approaches to estimation are principal component based. This paper considers the maximum likelihood–based estimation of the model. Consistency, rate of convergence, and limiting distributions are obtained under various identification restrictions. Monte Carlo simulations show that the likelihood method is easy to implement and has good finite sample properties.

Keywords: Factor analysis; Approximate factor models; Maximum likelihood; Principal components; Inferential theory (search for similar items in EconPapers)
JEL-codes: C33 C55 (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (67)

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Working Paper: Maximum likelihood estimation and inference for approximate factor models of high dimension (2012)
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