Springer Series in Statistics

Spatial Statistics and Modeling

Authors: Gaetan, Carlo, Guyon, Xavier

  • Clear and precise presentation of the most important spatial models, including their probabilistic properties and related statistical methods
  • Implements these models and studies their statistics on a wide variety of real spatial data coming from real-world applications
  • Each chapter has numerous exercises to test the reader, and R scripts are provided (see the book’s web page) to help students and researchers deepen their understanding of the subject
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eBook $139.00
price for USA (gross)
  • ISBN 978-0-387-92257-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $179.00
price for USA
  • ISBN 978-0-387-92256-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $179.00
price for USA
  • ISBN 978-1-4614-2499-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

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.

Reviews

From the reviews:

“Spatial statistics aims to develop models and statistical inference methods for observations that have a distinct spatial location component. … The book under review presents theory simulation and statistical applications in a well-structured manner and even covers some modern topics from the very recent journal literature. … To summarise this book is a welcome addition to the literature on spatial statistics and is perfectly suitable for designing a lecture course in this area.” (Ilya S. Molchanov, Mathematical Reviews, Issue 2011 a)

“Students and researchers in statistics, geology, image processing, spatial economics, earth sciences, epidemiology, and other areas. … authors of the current book do an excellent job in selecting … the most relevant topics for a new investigator just venturing into this exciting area. … well structured, accessible, and easy to read without compromising the theoretical rigor of the subject. … Any researcher interested in statistical methodologies for brain imaging will find the book quite engaging. This book will have a permanent place in my bookshelf.” (Rajesh Ranjan Nandy, International Statistical Review, Vol. 78 (3), 2010)

“This book is the English translation of Modélisation et Statistique Spatiales, published by Springer in the series Mathématiques & Applications … . it is intended as a text for a graduate level course.”­­­ (Donald E. Myers, Mathematical Geosciences, Vol. 42, July, 2010)


Table of contents (5 chapters)

  • Second-order spatial models and geostatistics

    Gaetan, Carlo (et al.)

    Pages 1-52

  • Gibbs-Markov random fields on networks

    Gaetan, Carlo (et al.)

    Pages 53-80

  • Spatial point processes

    Gaetan, Carlo (et al.)

    Pages 81-109

  • Simulation of spatial models

    Gaetan, Carlo (et al.)

    Pages 111-148

  • Statistics for spatial models

    Gaetan, Carlo (et al.)

    Pages 149-248

Buy this book

eBook $139.00
price for USA (gross)
  • ISBN 978-0-387-92257-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $179.00
price for USA
  • ISBN 978-0-387-92256-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $179.00
price for USA
  • ISBN 978-1-4614-2499-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Spatial Statistics and Modeling
Authors
Series Title
Springer Series in Statistics
Copyright
2010
Publisher
Springer-Verlag New York
Copyright Holder
Springer-Verlag New York
eBook ISBN
978-0-387-92257-7
DOI
10.1007/978-0-387-92257-7
Hardcover ISBN
978-0-387-92256-0
Softcover ISBN
978-1-4614-2499-4
Series ISSN
0172-7397
Edition Number
1
Number of Pages
XIV, 302
Topics