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Cuevas, Antonio; Febrero, Manuel; Fraiman, Ricardo

On the use of the bootstrap for estimating functions with functional data. (English) Zbl 1157.62390

Comput. Stat. Data Anal. 51, No. 2, 1063-1074 (2006).
Summary: The bootstrap methodology for functional data and functional estimation target is considered. A Monte Carlo study analyzing the performance of the bootstrap confidence bands (obtained with different resampling methods) of several functional estimators is presented. Some of these estimators (e.g., the trimmed functional mean) rely on the use of depth notions for functional data and do not have received yet much attention in the literature. A real data example in cardiology research is also analyzed. In a more theoretical aspect, a brief discussion is given providing some insights on the asymptotic validity of the bootstrap methodology when functional data, as well as a functional parameter, are involved.

Cited in 62 Documents

MSC:

62G09 Nonparametric statistical resampling methods
65C05 Monte Carlo methods

Keywords:

bootstrap; functional data; smoothed bootstrap; bootstrap validity; trimmed functional mean; functional median

Software:

MASS (R); fda (R); R; e1071
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Full Text: DOI

References:

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