This book presents an introduction to geostatistics stressing the multivariate aspects for scientists, engineers or statisticians. Geostatistics offers a variety of models, methods and techniques for the analysis, estimation and display of multivariate data distributed in space or time. This book presents a brief review of statistical concepts, a detailed introduction to linear geostatistics and an account of three basic methods of multivariate analysis. The third edition of this very successful textbook contains an advanced presentation of linear models for multivariate spatial or temporal data, of nonlinear models and methods for selection problems with change of suppport as well as an introduction to non-stationary geostatistics with special focus on the external drift method. Applications from very different areas of science, as well as exercises with solutions, are provided to help convey the general ideas.
From the contents: From Statistics to Geostatistics.- Mean, Variance, Covariance.- Linear Regression and Simple Kriging.- Kriging the Mean; Geostatistics.- Regionalized Variable and Random Function.- Variogram Cloud.- Variogram and Covariance Function.- Anisotropy.- Extension and Dispersion Variance.- Measures and Plots of Dispersion.- Kriging Weights.- Mapping with Kriging.- Linear Model of Regionalization.- Kriging Spatial Components.- The Smoothness of Kriging; Multivariate Analysis.- Principal Component Analysis.- Canonical Analysis.- Correspondence Analysis; D: Multivariate Geostatistics.- Direct and Cross Covariances.- Covariance Function Matrices.- Intrinsic Multivariate Correlation.- Heterotopic Cokriging; Non-Stationary Geostatistics.- External Drift.- Universal Kriging.- Translations Invariant Drift.
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