Determining the Number of Factors from Empirical Distribution of Eigenvalues

A-Tier
Journal: Review of Economics and Statistics
Year: 2010
Volume: 92
Issue: 4
Pages: 1004-1016

Score contribution per author:

4.022 = (α=2.01 / 1 authors) × 2.0x A-tier

α: calibrated so average coauthorship-adjusted count equals average raw count

Abstract

We develop a new estimator of the number of factors in the approximate factor models. The estimator works well even when the idiosyncratic terms are substantially correlated. It is based on the fact, established in the paper, that any finite number of the largest "idiosyncratic" eigenvalues of the sample covariance matrix cluster around a single point. In contrast, all the "systematic" eigenvalues, the number of which equals the number of factors, diverge to infinity. The estimator consistently separates the diverging eigenvalues from the cluster and counts the number of the separated eigenvalues. We consider a macroeconomic and a financial application. (c) 2010 The President and Fellows of Harvard College and the Massachusetts Institute of Technology.

Technical Details

RePEc Handle
repec:tpr:restat:v:92:y:2010:i:4:p:1004-1016
Journal Field
General
Author Count
1
Added to Database
2026-01-26