An Introduction To The Theory Of Point Processes: V. 2

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Daley, Daryl J., Vere-Jones, David

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ISBN:9780387213378
Editorial: Springer
Fecha de la edición:2007
Número de la edición: 2
Encuadernación:Tapa dura
Dimensiones: 0 cm x 0 cm
Nº Pág.:400
Idiomas:Ingles,Inglés

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/ Economía Cuantitativa

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 their "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.

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.