Case Studies in Spatial Point Process Modeling

Part I. Basic Notions and Manipulation of Spatial Point Processes

1. Fundamentals of Point Process Statistics
Dietrich Stoyan

2. Modelling Spatial Point Patterns in R
Adrian Baddeley, Rolf Turner

Part II. Theoretical and Methodological Advances in Spatial Point Processes

3. Strong Markov Property of Poisson Processes and Slivnyak Formula
Sergei Zuyev

4. Bayesian Analysis of Markov Point Processes
Kasper K. Berthelsen, Jesper Møller

5. Statistics for Locally Scaled Point Processes
Michaela Prokešová, Ute Hahn, Eva B. Vedel Jensen

6. Nonparametric Testing of Distribution Functions in Germ-grain Models
Zbynek Pawlas, Lothar Heinrich

7. Principal Component Analysis for Spatial Point Processes — Assessing the Appropriateness of the Approach in an Ecological Context
Janine Illian, Erica Benson, John Crawford, Harry Staines

Part III. Practical Applications of Spatial Point Processes

8. On Modelling of Refractory Castables by Marked Gibbs and Gibbsian-like Processes
Felix Ballani

9. Source Detection in an Outbreak of Legionnaire’s Disease
Miguel A. Martínez-Beneito, Juan J. Abellán, Antonio López-Quílez, Hermelinda Vanaclocha, Óscar Zurriaga, Guillermo Jorques, José Fenollar

10. Doctors’ Prescribing Patterns in the Midi-Pyrénées rRegion of France: Point-process Aggregation
Noel A.C. Cressie, Olivier Perrin, Christine Thomas-Agnan

11. Strain-typing Transmissible Spongiform Encephalopathies Using Replicated Spatial Data
Simon Webster, Peter J. Diggle, Helen E. Clough, Robert B. Green, Nigel P. French

12. Modelling the Bivariate Spatial Distribution of Amacrine Cells
Peter J. Diggle, Stephen J. Eglen, John B. Troy

13. Analysis of Spatial Point Patterns in Microscopic and Macroscopic Biological Image Data
Frank Fleischer, Michael Beil, Marian Kazda, Volker Schmidt

14. Spatial Marked Point Patterns for Herd Dispersion in a Savanna Wildlife Herbivore Community in Kenya
Alfred Stein, Nick Georgiadis

15. Diagnostic Analysis of Space-Time Branching Processes for Earthquakes
Jiancang Zhuang, Yosihiko Ogata, David Vere-Jones

16. Assessing Spatial Point Process Models Using Weighted K-functions: Analysis of California Earthquakes
Alejandro Veen, Frederic Paik Schoenberg

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Keywords: MATHEMATICS / Probability & Statistics / General MAT029000