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Book Cover
Author Gaetan, Carlo.

Title Spatial statistics and modeling / Carlo Gaetan, Xavier Guyon ; translated by Kevin Bleakley
Published New York ; London : Springer, ©2010


Description 1 online resource (xv, 297 pages) : illustrations, maps
Series Springer series in statistics
Springer series in statistics.
Contents Preface; Contents; Abbreviations and notation; 1 Second-order spatial models and geostatistics; 2 Gibbs-Markov random fields on networks; 3 Spatial point processes; 4 Simulation of spatial models; 5 Statistics for spatial models; A Simulation of random variables; B Limit theorems for random fields; C Minimum contrast estimation; D Software; Index
Summary Spatial statistics are useful in subjects as diverse as climatology, ecology, economics, environmental and earth sciences, epidemiology, image analysis and more. This book covers the best-known spatial models for three types of spatial data: geostatistical data (stationarity, intrinsic models, variograms, spatial regression and space-time models), areal data (Gibbs-Markov fields and spatial auto-regression) and point pattern data (Poisson, Cox, Gibbs and Markov point processes). The level is relatively advanced, and the presentation concise but complete. The most important statistical methods and their asymptotic properties are described, including estimation in geostatistics, autocorrelation and second-order statistics, maximum likelihood methods, approximate inference using the pseudo-likelihood or Monte-Carlo simulations, statistics for point processes and Bayesian hierarchical models. A chapter is devoted to Markov Chain Monte Carlo simulation (Gibbs sampler, Metropolis-Hastings algorithms and exact simulation).A large number of real examples are studied with R, and each chapter ends with a set of theoretical and applied exercises. While a foundation in probability and mathematical statistics is assumed, three appendices introduce some necessary background. The book is accessible to senior undergraduate students with a solid math background and Ph. D. students in statistics. Furthermore, experienced statisticians and researchers in the above-mentioned fields will find the book valuable as a mathematically sound reference. This book is the English translation of Modélisation et Statistique Spatiales published by Springer in the series Mathématiques & Applications, a series established by Société de Mathématiques Appliquées et Industrielles (SMAI). Carlo Gaetan is Associate Professor of Statistics in the Department of Statistics at the Ca' Foscari University of Venice. Xavier Guyon is Professor Emeritus at the University of Paris 1 Panthéon-Sorbonne. He is author of a Springer monograph on random fields
Bibliography Includes bibliographical references (pages 283-291) and index
Notes Print version record
Subject Spatial analysis (Statistics)
Spatial analysis (Statistics) -- Mathematical models
spatial analysis.
Spatial analysis (Statistics)
Räumliche Statistik
Statistisches Modell
Statistik -- Raum (Math.)
Raum -- (Math.) -- Statistik.
Rèaumliche Statistik.
Genre/Form dissertations.
Academic theses
Academic theses.
Thèses et écrits académiques.
Form Electronic book
Author Guyon, Xavier.
Bleakley, Kevin
LC no. 2009938269
ISBN 9780387922577
Other Titles Modelisation et statistique spatiales. English