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Geostatistical Functional Data Analysis

ISBN: 978-1-119-38788-6

November 2021

448 pages

Description

Explore the intersection between geostatistics and functional data analysis with this insightful new reference

Geostatistical Functional Data Analysis presents a unified approach to modelling functional data when spatial and spatio-temporal correlations are present. The Editors link together the wide research areas of geostatistics and functional data analysis to provide the reader with a new area called geostatistical functional data analysis that will bring new insights and new open questions to researchers coming from both scientific fields. This book provides a complete and up-to-date account to deal with functional data that is spatially correlated, but also includes the most innovative developments in different open avenues in this field.

Containing contributions from leading experts in the field, this practical guide provides readers with the necessary tools to employ and adapt classic statistical techniques to handle spatial regression. The book also includes:

  • A thorough introduction to the spatial kriging methodology when working with functions
  • A detailed exposition of more classical statistical techniques adapted to the functional case and extended to handle spatial correlations
  • Practical discussions of ANOVA, regression, and clustering methods to explore spatial correlation in a collection of curves sampled in a region
  • In-depth explorations of the similarities and differences between spatio-temporal data analysis and functional data analysis

Aimed at mathematicians, statisticians, postgraduate students, and researchers involved in the analysis of functional and spatial data, Geostatistical Functional Data Analysis will also prove to be a powerful addition to the libraries of geoscientists, environmental scientists, and economists seeking insightful new knowledge and questions at the interface of geostatistics and functional data analysis.

About the Author

Jorge Mateu is a full professor of Statistics at the Department of Mathematics of University Jaume I of Castellon, where he has worked for the past 20 years. His main fields of interest are stochastic processes in their wide sense with a particular focus on spatial and spatio-temporal point processes and geostatistics. He has published more than 150 papers in peer-reviewed international journals, and he is co-author of several proceedings and research books. He has organised several international conferences with a focus on modelling space-time processes, and leads the organising committee of a series of biannual conferences (called METMA, eight by now) co-sponsorised by TIES, for which he was also Secretary. He currently sits on the editorial boards of Spatial Statistics, Journal of Environmental Statistics, Stochastic Environmental Research and Risk Assessment, Environmetrics, and Journal of Agricultural, Biological, and Environmental Statistics. Prof. Mateu is also director of the Unit "Statistical Modelling of Crime Data", based in the Department of Mathematics, University Jaume I of Castellon, and he is co-director of the Erasmus Mundus Master in Geospatial Technologies, funded by the European Commission.

Ramon Giraldo is currently a full professor of Statistics at the Department of Statistics at the Universidad Nacional de Colombia, where he has worked for more than 10 years. His main fields of interest are non-parametric statistics, functional data analysis and spatial and spatio-temporal geostatistics. He has published more than 20 papers in peer-reviewed international journals, and he has been supervisor of 2 Doctoral Thesis and more than 10 Master Thesis.  He has been Academic Coordinator, Head of Department and Research Coordinator at the Statistics Department of Universidad Nacional de Colombia. He is currently Editor-in-Chief of Colombian Journal of Statistics.