Statistical Analysis and Modelling of Spatial Point Patterns

Couverture
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

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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

Informations bibliographiques