Determining the number of factors in approximate factor models by twice K-fold cross validation
Release time:2020-04-23
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Indexed by:Journal paper
Document Code:109149
First Author:Jie Wei
Correspondence Author:Hui Chen
Journal:Economics Letters
Included Journals:SCI
Affiliation of Author(s):Huazhong Univ. of S&T
Place of Publication:USA
Discipline:Economics
First-Level Discipline:Applied Economics
Funded by:Ministry of Education of Humanities and Social Sciences Project of China (No. 17YJC790159)
Document Type:J
Volume:191
Issue:6
ISSN No.:0165-1765
Key Words:Approximate factor models K-fold cross validation Consistency Finite sample performance
Date of Publication:2020-04-08
Abstract:We propose a data driven determination method of the number of factors by cross validation (CV)
in approximate factor models. A K-fold CV is applied along each of the two directions (individual
and time) of a panel dataset. We prove the consistency of the proposed twice K-fold CV under mild
conditions. Monte Carlo simulations demonstrate superior and robust performance of our selection
method in comparison with existing approaches, especially at small panels with moderate units or
time lengths. An empirical application to identify factor numbers in the UK is provided.
Links to published journals:https://doi.org/10.1016/j.econlet.2020.109149