Statistical inference and simulation for spatial point processes
General Material Designation
[Book]
First Statement of Responsibility
/ Jesper MooAلأller and Rasmus Plenge Waagepetersen
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Boca Raton
Name of Publisher, Distributor, etc.
: Chapman & Hall/CRC,
Date of Publication, Distribution, etc.
, c2004.
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
xv, 300 p. , ill. , 24 cm.
NOTES PERTAINING TO PUBLICATION, DISTRIBUTION, ETC.
Text of Note
Electronic
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references (p. 279-292) and indexes.
CONTENTS NOTE
Text of Note
"Technology now makes available huge amounts of spatial point process data, and new applications are continually arising in fields as diverse as astronomy, forestry, image analysis, and epidemiology. Although significant developments in both Markov Chain Monte Carlo (MCMC) techniques and spatial point processes have emerged in recent years, the literature has lacked a comprehensive, unified treatment of the theoretical advances - one that includes examples of real-world applications." "Statistical Inference and Simulation for Spatial Point Processes provides exactly that. With emphasis on MCMC methods, it fully explores simulation-based inference for spatial point processes. The treatment is detailed and authoritative, but at the same time self-contained and completely accessible. To simplify the mathematics, the authors restrict their attention to Euclidean space, but most of the results easily extend to more general state space. Five appendices provide all of the relevant background material, including a concise presentation of measure theory." "This is the first up-to-date, unified collection of theoretical advances and applications in this rapidly growing field. Readers learn not only the underlying principles and mathematics of simulation-based inference for spatial point processes, but through the book's many application examples they also get a clear, practical perspective on the implementation issues."--BOOK JACKET.
Text of Note
1. Examples of spatial point patterns -- 2. Introduction to point processes -- 3. Poisson point processes -- 4. Summary statistics -- 5. Cox processes -- 6. Markov point processes -- 7. Metropolis-Hastings algorithms -- 8. Simulation-based inference -- 9. Inference for Markov point processes -- 10. Inference for Cox processes -- 11. Birth-death processes and perfect simulation -- C. Moment measures and Palm distributions -- D. Perfect simulation of SNCPs -- E. Simulation of Gaussian fields -- F. Nearest-neighbour Markov point processes -- G. Results for spatial birth-death processes.