Simplicial band depth for multivariate functional data

DOI10.1007/s11634-014-0166-6zbMath1414.62066OpenAlexW2164882194MaRDI QIDQ2418375

Juan K. Lin, Marc G. Genton, Ying Sun, Sara López-Pintado

Publication date: 3 June 2019

Published in: Advances in Data Analysis and Classification. ADAC (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11634-014-0166-6

zbMATH Keywords

multivariatesimplicialband depthfunctional boxplotfunctional and image datamodified band depth

Mathematics Subject Classification ID

Time series, auto-correlation, regression, etc. in statistics (GARCH) (62M10) Statistical ranking and selection procedures (62F07)

Related Items

Two-sample tests for multivariate functional data with applications, A divisive clustering method for functional data with special consideration of outliers, Sparse Functional Boxplots for Multivariate Curves, Test and Visualization of Covariance Properties for Multivariate Spatio-Temporal Random Fields, Simple powerful robust tests based on sign depth, Tests for equality of several covariance matrix functions for multivariate functional data, Unnamed Item, Anisotropic Radial Layout for Visualizing Centrality and Structure in Graphs, Functional regression models: Some directions of future research, Data depth for measurable noisy random functions, Multivariate functional outlier detection, Discussion of ``Multivariate functional outlier detection by M. Hubert, P. Rousseeuw and P. Segaert, K-sign depth: from asymptotics to efficient implementation, Directional outlyingness for multivariate functional data, Discussion of ``Multivariate functional outlier detection by Mia Hubert, Peter Rousseeuw and Pieter Segaert, Discussion of ``Multivariate functional outlier detection by M. Hubert, P. Rousseeuw and P. Segaert, Depth for curve data and applications, Pareto depth for functional data, An angle-based multivariate functional pseudo-depth for shape outlier detection, Component-wise outlier detection methods for robustifying multivariate functional samples, On projection methods for functional time series forecasting, One-way MANOVA for functional data via Lawley-Hotelling trace test

Uses Software

• fda (R)
• AS 307

Cites Work

• Unnamed Item
• Functional median polish
• On a notion of data depth based on random simplices
• Robust estimation and classification for functional data via projection-based depth notions
• Depth-based inference for functional data
• Interpolation of spatial data. Some theory for kriging
• Trimmed means for functional data
• Functional data analysis.
• Nonparametric functional data analysis. Theory and practice.
• Functional Data Analysis with R and MATLAB
• Algorithm AS 307: Bivariate Location Depth
• A Valid Matérn Class of Cross-Covariance Functions for Multivariate Random Fields With Any Number of Components
• Depth Measures for Multivariate Functional Data
• On the Concept of Depth for Functional Data
• Matérn Cross-Covariance Functions for Multivariate Random Fields