An Introduction to the Theory of Point Processes

Volume II: General Theory and Structure
 HC runder Rücken kaschiert
ISBN-13:
9780387213378
Veröffentl:
2007
Einband:
HC runder Rücken kaschiert
Erscheinungsdatum:
12.11.2007
Seiten:
592
Autor:
David Vere-Jones
Gewicht:
1045 g
Format:
241x160x38 mm
Serie:
Probability and Its Applications
Sprache:
Englisch
Beschreibung:

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 An Introduction to the Theory of Point Processes in two volumes with subtitles Volume I: Elementary Theory and Methods and Volume II: General Theory and Structure.Volume I 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.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.
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 significantly reshaped their first edition of 1988 and now present Introduction to the Theory of Point Processes in two volumes sub-titled "Elementary Theory and Models" and "General Theory and Structure". Volume One contains introductory chapters and offers new material on marked point processes and processes evolving in time, where the conditional intensity methodology provides a basis for model building, inference, and prediction. Volume Two returns to the general theory, with additional material on marked and spatial processes. The necessary mathematical background is reviewed in appendices located in Volume One.
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.

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