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A0473
Title: Asymptotics of functional principal component analysis with weakly dependent data Authors:  Bo Hu - Peking University (China) [presenting]
Abstract: The asymptotic theory is developed for principal component analysis for weakly dependent functional data in a separable Hilbert space. We establish the weak convergences of the sample variance operators for various types of weakly dependent functional data. With a version of the functional central limit theorem on Banach spaces we develop, the limiting distributions of the principal values and principal factors are shown to be normal.