Spatial Statistics and Modeling

  • Carlo Gaetan
  • Xavier Guyon

Part of the Springer Series in Statistics book series (SSS)

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Carlo Gaetan, Xavier Guyon
    Pages 1-52
  3. Carlo Gaetan, Xavier Guyon
    Pages 53-80
  4. Carlo Gaetan, Xavier Guyon
    Pages 81-109
  5. Carlo Gaetan, Xavier Guyon
    Pages 111-148
  6. Carlo Gaetan, Xavier Guyon
    Pages 149-248
  7. Back Matter
    Pages 1-46

About this book

Introduction

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.

Keywords

Applied statistics Geostatistics Markov random field Point process Spatial statistics and modeling algorithms mathematical statistics

Authors and affiliations

  • Carlo Gaetan
    • 1
  • Xavier Guyon
    • 2
  1. 1.Dipto. StatisticaUniversità Ca' Foscari di VeneziaVeneziaItaly
  2. 2.SAMOSUniversité Paris IParis CX 13France

Bibliographic information

  • DOI https://doi.org/10.1007/978-0-387-92257-7
  • Copyright Information Springer Science+Business Media, LLC 2010
  • Publisher Name Springer, New York, NY
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-0-387-92256-0
  • Online ISBN 978-0-387-92257-7
  • Series Print ISSN 0172-7397
  • About this book