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SMOOTH PRINCIPAL COMPONENT ANALYSIS OVER TWO-DIMENSIONAL MANIFOLDS WITH AN APPLICATION TO NEUROIMAGING
(Institute of Mathematical StatisticsThe Annals of Applied Statistics, 2016-01-05)
Motivated by the analysis of high-dimensional neuroimaging signals located over the cortical surface, we introduce a novel Principal Component Analysis technique that can handle functional data located over a two-dimensional ...
Gaussian tree constraints applied to acoustic linguistic functional data
(ElsevierJournal of Multivariate Analysis, 2016-10-11)
Evolutionary models of languages are usually considered to take the form of trees. With the development of so-called tree constraints the plausibility of the tree model assumptions can be assessed by checking whether the ...
Tests for separability in nonparametric covariance operators of random surfaces
(Institute of Mathematical StatisticsAnnals of Statistics, 2016)
The assumption of separability of the covariance operator
for a random image or hypersurface can be of substantial use in
applications, especially in situations where the accurate estimation
of the full covariance structure ...