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 Secondorder spatial models and geostatistics; 2 GibbsMarkov 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 bestknown spatial models for three types of spatial data: geostatistical data (stationarity, intrinsic models, variograms, spatial regression and spacetime models), areal data (GibbsMarkov fields and spatial autoregression) 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 secondorder statistics, maximum likelihood methods, approximate inference using the pseudolikelihood or MonteCarlo simulations, statistics for point processes and Bayesian hierarchical models. A chapter is devoted to Markov Chain Monte Carlo simulation (Gibbs sampler, MetropolisHastings 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 abovementioned 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 PanthéonSorbonne. He is author of a Springer monograph on random fields 
Bibliography 
Includes bibliographical references (pages 283291) 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 

0387922571 

0387922563 

9780387922560 

9781282835467 

1282835467 
