# Statistical Analysis and Modelling of Spatial Point Patterns

John Wiley & Sons, 15 avr. 2008 - 560 pages
Spatial point processes are mathematical models used to describe and analyse the geometrical structure of patterns formed by objects that are irregularly or randomly distributed in one-, two- or three-dimensional space. Examples include locations of trees in a forest, blood particles on a glass plate, galaxies in the universe, and particle centres in samples of material.

Numerous aspects of the nature of a specific spatial point pattern may be described using the appropriate statistical methods. Statistical Analysis and Modelling of Spatial Point Patterns provides a practical guide to the use of these specialised methods. The application-oriented approach helps demonstrate the benefits of this increasingly popular branch of statistics to a broad audience.

The book:

• Provides an introduction to spatial point patterns for researchers across numerous areas of application
• Adopts an extremely accessible style, allowing the non-statistician complete understanding
• Describes the process of extracting knowledge from the data, emphasising the marked point process
• Demonstrates the analysis of complex datasets, using applied examples from areas including biology, forestry, and materials science
• Features a supplementary website containing example datasets.

Statistical Analysis and Modelling of Spatial Point Patterns is ideally suited for researchers in the many areas of application, including environmental statistics, ecology, physics, materials science, geostatistics, and biology. It is also suitable for students of statistics, mathematics, computer science, biology and geoinformatics.

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### Table des matières

 1 Introduction 1 2 The homogeneous Poisson point process 57 3 Finite point processes 99 4 Stationary point processes 173 5 Stationary marked point processes 293 6 Modelling and simulation of stationary point processes 363 7 Fitting and testing point process models 445 Appendix A Fundamentals of statistics 479
 Appendix B Geometrical characteristics of sets 483 Appendix C Fundamentals of geostatistics 489 References 493 Notation index 515 Author index 519 Subject index 527 Droits d'auteur

### À propos de l'auteur (2008)

Janine Illian, SIMBIOS, University of Abertay, Dundee, Scotland

Antti Pentinen, Professor in the Department of Mathematics and Statistics, University of Jyvaskyla, Finland

Dietrich Stoyan, Professor a the Insitut fur Stochastik, University of Freiberg, Germany