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Review of functional data analysis

Review of functional dataanalysisJane-Ling Wang,1 Jeng-Min Chiou,2andHans-Georg M uller11 Department of Statistics/University of California, Davis, USA, 956162 Institute of Statistical Science/Academia Sinica,Tapei, Taiwan, Rev. Statist. 2015. ?:1 41 This article s ((please add article doi))Copyrightc 2015 by Annual rights reservedKeywordsFunctional principal component analysis , functional correlation, functional linear regression, functional additive model, clustering andclassification, time warpingAbstractWith the advance of modern technology, more and more data are be-ing recorded continuously during a time interval or intermittently atseveral discrete time points.

all j. In asymptotic analysis, the spacing t j+1 t j is assumed to approach zero as ntends to in nity, hence p= p n is a sequence that tends to in nity. While large pleads to a high-dimensional problem, it also means more data are available, so here this is a blessing rather than a curse. This blessing is realized by imposing a smoothness ...

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