On the Validity of the Bootstrap in Non‐Parametric Functional Regression

By Frédéric Ferraty, I. Van Keilegom, Philippe Vieu. 2009

104 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/d0368a461b91d60b63a1491e543f921c9ad0c1ff

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In Statistics and Probability

Citations in the corpus

Functional data: local linear estimation of the conditional density and its application (2013, methodology): “Moreover, the uniform convergence results are indispensable tools for some nonparametric functional data problems such as, for instance, data-driven bandwidth choice 16 22 or bootstrapping 23 .”
Mean estimation with data missing at random for functional covariables (2013, background): “[25] for estimating the regression operator itself, but their extensions to MAR modelling is a second important open issue.”
A Universal Kriging predictor for spatially dependent functional data of a Hilbert Space (2013, methodology): “Functional Data Analysis (FDA, Ramsay and Silverman (2005)) has recently received a great deal of attention in the literature because of the increasing need to analyze inﬁnite-dimensional data, such as curves, surfaces and images.”
On the Local Linear Modelization of the Conditional Distribution for Functional Data (2014, background): “…section there are various alternative approaches permitting to select the smoothing parameters hH and hK (cf. for instance (Hall et al., 1999) for the linear model in the finite dimensional case and (Ferraty et al., 2010) for the regression estimation in the infinite dimensional framework).”
Nonparametric modelling for functional data: selected survey and tracks for future (2018, background): “indirectly applicable, but to overcome this, some functional bootstrapping procedures have been developed in [28] and applied to confidence band construction.”
Convergence of functional k-nearest neighbor regression estimate with functional responses (2011, methodology): “For functional regression with scalar responses, uniform convergence was obtained in [12], asymptotic normality was shown in [8, 6] for the independent case and α-mixing case respectively, and [7] studied inferences using bootstrap.”