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Introduction -- Random field modelling and interpolation -- Models and inference for areal unit data -- Spatial point processes. Theory of Spatial Statistics: A Concise Introduction presents the most important models used in spatial statistics, including random fields andpoint processes, from a rigorous mathematical point of view and shows howto 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 lecturenotes 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.