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Activity Number: 220 - Robust Multivariate and High-Dimensional Analysis Using Functional Data Ranking
Type: Topic Contributed
Date/Time: Monday, July 31, 2017 : 2:00 PM to 3:50 PM
Sponsor: Section on Nonparametric Statistics
Abstract #324636
Title: High-Dimensional Functional Data
Author(s): Juan Romo* and Ana Arribas-Gil
Companies: Universidad Carlos III de Madrid and Universidad Carlos III de Madrid
Keywords: Functional data ; High-dimensional ; Depth

Functional data are currently a common output of many processes. Functional data analysis refers not only to one-dimensional functional observations, but also to multivariate samples of curves or even to high-dimensional functional data sets. Robust analysis of functional data can be based on the concept of depth, that allows us to establish the notion of centrality and extremality and provides fundamentals for testing or classification. We analyze depth for high-dimensional functional data and apply these ideas to simulated high-dimensional functional samples and to real high-dimensional functional observations.

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