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Asymptotic properties of principal component projections with repeated eigenvalues

Article ID Journal Published Year Pages File Type
5129643 Statistics & Probability Letters 2017 7 Pages PDF
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.

Keywords
Principal componentsFunctional data analysisRepeated eigenvaluesProjection
Related Topics
Physical Sciences and Engineering Mathematics Statistics and Probability
Preview
Asymptotic properties of principal component projections with repeated eigenvalues
Authors
Justin Petrovich, Matthew Reimherr,
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Journal
Statistics & Probability Letters
Journal: Statistics & Probability Letters
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