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Full Description
This book presents an overview of reproducing kernel Hilbert, Sobolev, and Hoelder spaces. Unlike most related books, this one brings together the two perspectives of geostatistics and reproducing kernel Hilbert spaces. It begins with second-order random fields defined over Hilbert spaces and then progresses to applications to space, space-time random fields, vector-valued random fields, functional geostatistics, and extreme-valued random fields. The book includes real-world examples and case studies that illustrate data analysis and simulation. All examples are implemented with R packages.
Contents
Probabilistic Properties of Second-Order Random Fields. Spatial Univariate Geostatistics. Spatial Multivariate Geostatistics. Space-Time Geostatistics. Functional Geostatistics. Spatial and Space-Time Extremes.