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Assessing extrema of empirical principal component functions

Hall, Peter; Vial, Céline


The difficulties of estimating and representing the distributions of functional data mean that principal component methods play a substantially greater role in functional data analysis than in more conventional finite-dimensional settings. Local maxima and minima in principal component functions are of direct importance; they indicate places in the domain of a random function where influence on the function value tends to be relatively strong but of opposite sign. We explore statistical...[Show more]

CollectionsANU Research Publications
Date published: 2006-08-01
Type: Journal article
Source: Annals of Statistics 2006, Vol. 34, No. 3, 1518-1544
DOI: 10.1214/009053606000000371


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