Wavelets in functional data analysis: Estimation of multidimensional curves and their derivatives

Davide Pigoli and Laura M. Sangalli

Computational Statistics & Data Analysis, 2012, vol. 56, issue 6, 1482-1498

Abstract: A wavelet-based method is proposed to obtain accurate estimates of curves in more than one dimension and of their derivatives. By means of simulation studies, this novel method is compared to another locally-adaptive estimation technique for multidimensional functional data, based on free-knot regression splines. This comparison shows that the proposed method is particularly attractive when the curves to be estimated present strongly localized features. The multidimensional wavelet estimation method is thus applied to multi-lead electrocardiogram records, where strongly localized features are indeed expected.

Keywords: Multidimensional curve fitting; Derivative estimation; Electrocardiograms (search for similar items in EconPapers)
Date: 2012
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:csdana:v:56:y:2012:i:6:p:1482-1498

DOI: 10.1016/j.csda.2011.12.016

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