Testing Hypotheses About the Number of Factors in Large Factor Models

In this paper we study high-dimensional time series that have the generalized dynamic factor structure. We develop a test of the null of k0 factors against the alternative that the number of factors is larger than k0 but no larger than k1>k0. Our test statistic equals maxk0<kk1(γk−γk+1)(γk+1−γk+2), ... View More