Theory of spatial statistics : a concise introduction
- Boca Raton : CRC Press, 2019
- xi, 148 p. ; ill., 26 cm.
- Texts in statistical science .
Includes bibliographical references and index.
A Concise Introduction presents the most important models used in spatial statistics, including random fields and point processes, from a rigorous mathematical point of view and shows how to carry out statistical inference. It contains full proofs, real-life examples and theoretical exercises. Solutions to the latter are available in an appendix. Assuming maturity in probability and statistics, these concise lecture notes are self-contained and cover enough material for a semester course. They may also serve as a reference book for researchers.Features* Presents the mathematical foundations of spatial statistics.* Contains worked examples from mining, disease mapping, forestry, soil and environmental science, and criminology.* Gives pointers to the literature to facilitate further study.* Provides example code in R to encourage the student to experiment.* Offers exercises and their solutions to test and deepen understanding. The book is suitable for postgraduate and advanced undergraduate students in mathematics and statistics.
9780367146399
Mathematics Applied Probability Statistics General Spatial analysis Random field modelling Bounded Borel set Covariance function Estimator Poisson process Probability density Semi-variogram