Asymptotic Properties of Principal Component Projections with Repeated Eigenvalues
Justin Petrovich,
Matthew Reimherr
November, 2017
Abstract
In FPCA methods, it is common to assume that the eigenvalues are distinct in order to facilitate theoretical proofs. We relax this assumption, provide a stochastic expansion for the estimated functional principal component projections, and establish their asymptotic normality.
Publication
In Statistics & Probability Letters
Associate Professor of Statistics and Business Data Analytics
My research interests include functional data analysis, longitudinal data analysis, and applied statistics.