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Robust estimation and classification for functional data via projection-based depth notions. (English) Zbl 1195.62032
Different notions of data depth are considered for functional data, such as the functional integrated depth, the \(h\)-mode depth and different versions of the depth calculation procedures based on random projections. Applications to supervised classification and robust estimation are discussed. Results of simulations and applications to real data sets are presented.

MSC:
62G05 Nonparametric estimation
62G35 Nonparametric robustness
62H30 Classification and discrimination; cluster analysis (statistical aspects)
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