Illian, Janine / Penttinen, Antti / Stoyan, Helga / Stoyan, Dietrich Statistical Analysis and Modelling of Spatial Point Patterns Statistics in Practice
1. Edition - January 2008 105.- Euro 2008. 560 Pages, Hardcover ISBN-10: 0-470-01491-1 ISBN-13: 978-0-470-01491-2 - John Wiley & Sons
Short description Statistical Analysis and Modelling of Spatial Point Patterns provides an accessible account of the statistical analysis of spatial point patterns taking particular account of spatial data. Applications are central to the book and there are examples from biology, geology, ecology and environmental sciences as well as forestry. There will be an accompanying web site carrying example datasets.
From the contents Preface.
List of Examples.
1. Introduction.
1.1 Point process statistics.
1.2 Examples of point process data.
1.3 Historical notes.
1.4 Sampling and data collection.
1.5 Fundamentals of the theory of point processes.
1.6 Stationarity and isotropy.
1.7 Summary characteristics for point processes.
1.8 Secondary structures of point processes.
1.9 Simulation of point processes.
2. The Homogeneous Poisson point process.
2.1 Introduction.
2.2 The binomial point process.
2.3 The homogeneous Poisson point process.
2.4 Simulation of a homogeneous Poisson process.
2.5 Model characteristics.
2.6 Estimating the intensity.
2.7 Testing complete spatial randomness.
3. Finite point processes.
3.1 Introduction.
3.2 Distributions of numbers of points.
3.3 Intensity functions and their estimation.
3.4 Inhomogeneous Poisson process and finite Cox process.
3.5 Summary characteristics for finite point processes.
3.6 Finite Gibbs processes.
4. Stationary point processes.
4.1 Basic definitions and notation.
4.2 Summary characteristics for stationary point processes.
4.3 Second-order characteristics.
4.4 Higher-order and topological characteristics.
4.5 Orientation analysis for stationary point processes.
4.6 Outliers, gaps and residuals.
4.7 Replicated patterns.
4.8 Choosing appropriate observation windows.
4.9 Multivariate analysis of series of point patterns.
4.10 Summary characteristics for the non-stationary case.
5. Stationary marked point processes.
5.1 Basic definitions and notation.
5.2 Summary characteristics.
5.3 Second-order characteristics for marked point processes.
5.4 Orientation analysis for marked point processes.
6. Modelling and simulation of stationary point processes.
6.1 Introduction.
6.2 Operations with point processes.
6.3 Cluster processes.
6.4 Stationary Cox processes.
6.5 Hard-core point processes.
6.6 Stationary Gibbs processes.
6.7 Reconstruction of point patterns.
6.8 Formulas for marked point process models.
6.9 Moment formulas for stationary shot-noise fields.
6.10 Space-time point processes.
6.11 Correlations between point processes and other random structures.
