F. Ferraty and P. Vieu, Nonparametric functional data analysis: Theory and practice, Springer Series in Statistics

On the using of modal curves for radar waveforms classification

Recent advances in nonparametric functional data analysis allow to define the notion of mode for a sample of curves. A kernel-type estimator is proposed for estimating this modal curve. In addition, other centrality curves can be easily extended to the functional case, namely mean and median curves. A nonparametric unsupervised classification method which is also a cluster analysis is investiga...

Factor-based comparison of groups of curves

A method able to detect a possible common structure between two (or more than two) groups of curves is considered. This technique is part of the recent developments within the field of Functional Data Analysis. It is discussed how the standard approach based on factorial analysis for comparing groups of multivariate data can be used in this infinite-dimensional framework. The potentiality of su...

Nonparametric regression on functional data: inference and practical aspects

We consider the problem of predicting a real random variable from a functional explanatory variable. The problem is attacked by mean of nonparametric kernel approach which has been recently adapted to this functional context. We derive theoretical results by giving a deep asymptotic study of the behaviour of the estimate, including mean squared convergence (with rates and precise evaluation of ...

Using Bagidis in nonparametric functional data analysis: Predicting from curves with sharp local features

Our goal is to predict a scalar value or a group membership from the discretized observation of curves with sharp local features that might vary both vertically and horizontally. To this aim, we propose to combine the use of the non parametric functional regression estimator developed by Ferraty and Vieu (2006) [1] with the Bagidis semimetric developed by Timmermans and von Sachs (2010) [2] in ...

A Distribution-Free Theory of Nonparametric Regression