An Introduction to the Theory of Point Processes

Volume II: General Theory and Structure
2. Auflage 2008
ISBN: 978-1-4899-8538-5
Verlag: Springer

Buch, Englisch, 573 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 885 g

Reihe: Probability and Its Applications

Point processes and random measures find wide applicability in telecommunications, earthquakes, image analysis, spatial point patterns and stereology, to name but a few areas. The authors have made a major reshaping of their work in their first edition of 1988 and now present in two volumes with subtitles and

contains the introductory chapters from the first edition together with an account of basic models, second order theory, and an informal account of prediction, with the aim of making the material accessible to readers primarily interested in models and applications. It also has three appendices that review the mathematical background needed mainly in Volume II.

sets out the basic theory of random measures and point processes in a unified setting and continues with the more theoretical topics of the first edition: limit theorems, ergodic theory, Palm theory, and evolutionary behaviour via martingales and conditional intensity. The very substantial new material in this second volume includes expanded discussions of marked point processes, convergence to equilibrium, and the structure of spatial point processes.

Zielgruppe

Research

Autoren/Hrsg.

Vere-Jones, David

Daley, D.J.

Fachgebiete

• Mathematik | Informatik Mathematik Stochastik
• Mathematik | Informatik Mathematik Geometrie Dynamische Systeme

Inhaltsverzeichnis

Basic Theory of Random Measures and Point Processes.- Special Classes of Processes.- Convergence Concepts and Limit Theorems.- Stationary Point Processes and Random Measures.- Palm Theory.- Evolutionary Processes and Predictability.- Spatial Point Processes.