Title
Wavelets in functional data analysis: Estimation of multidimensional curves and their derivatives
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.
Year
DOI
Venue
2012
10.1016/j.csda.2011.12.016
Computational Statistics & Data Analysis
Keywords
Field
DocType
novel method,electrocardiogram record,accurate estimate,localized feature,functional data analysis,wavelet-based method,multidimensional wavelet estimation method,multidimensional curve,multidimensional functional data,free-knot regression spline,locally-adaptive estimation technique,curve fitting
Econometrics,Functional data analysis,Multivariate adaptive regression splines,Derivative estimation,Statistics,Mathematics,Wavelet
Journal
Volume
Issue
ISSN
56
6
0167-9473
Citations 
PageRank 
References 
4
0.59
3
Authors
2
Name
Order
Citations
PageRank
Davide Pigoli150.97
Laura M. Sangalli2435.37