Spatial Statistics and Modeling

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 mathemati...

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Bibliographic Details
Main Authors: Gaetan, Carlo, Guyon, Xavier (Author)
Format: eBook
Language:English
Published: New York, NY Springer New York 2010, 2010
Edition:1st ed. 2010
Series:Springer Series in Statistics
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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245 0 0 |a Spatial Statistics and Modeling  |h Elektronische Ressource  |c by Carlo Gaetan, Xavier Guyon 
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505 0 |a Second-order spatial models and geostatistics -- Gibbs-Markov random fields on networks -- Spatial point processes -- Simulation of spatial models -- Statistics for spatial models 
653 |a Statistical Theory and Methods 
653 |a Mathematical Applications in Environmental Science 
653 |a Statistics  
653 |a Probability Theory 
653 |a Earth sciences 
653 |a Econometrics 
653 |a Earth Sciences 
653 |a Environmental sciences / Mathematics 
653 |a Probabilities 
700 1 |a Guyon, Xavier  |e [author] 
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520 |a 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).  
520 |a Carlo Gaetan is Associate Professor of Statistics in the Department of Statistics at the Ca' Foscari University of Venice. XavierGuyon is Professor Emeritus at the University of Paris 1 Panthéon-Sorbonne. He is author of a Springer monograph on random fields 
520 |a 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.