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Viser: Random Measures, Theory and Applications
Random Measures, Theory and Applications
Olav Kallenberg
(2018)
Sprog: Engelsk
Springer International Publishing AG
1.728,00 kr.
Print on demand. Leveringstid vil være ca 2-3 uger.
Detaljer om varen
- Paperback
- Udgiver: Springer International Publishing AG (Juli 2018)
- ISBN: 9783319823928
Offering the first comprehensive treatment of the theory of random measures, this book has a very broad scope, ranging from basic properties of Poisson and related processes to the modern theories of convergence, stationarity, Palm measures, conditioning, and compensation. The three large final chapters focus on applications within the areas of stochastic geometry, excursion theory, and branching processes. Although this theory plays a fundamental role in most areas of modern probability, much of it, including the most basic material, has previously been available only in scores of journal articles. The book is primarily directed towards researchers and advanced graduate students in stochastic processes and related areas.
Preface.-
1.Spaces, Kernels, and Distribution.-
2.Dissection Limits and Regularity.-
3.Poisson and Related Processes.-
4.Convergence and Approximation.-
5.Stationarity in Euclidean Spaces.-
6.Palm and Related Kernels.-
7.Group Stationarity and Invariance.-
8.Exterior Conditioning.-
9.Compensation and Time Change.-
10.Multiple Integration and Chaos.-
11.Line and Flat Processes.-
12.Regeneration and Local Time.-
13.Branching and Superprocesses.- Appendices.- Historical and Bibliographical Notes.- References.- Indices.
1.Spaces, Kernels, and Distribution.-
2.Dissection Limits and Regularity.-
3.Poisson and Related Processes.-
4.Convergence and Approximation.-
5.Stationarity in Euclidean Spaces.-
6.Palm and Related Kernels.-
7.Group Stationarity and Invariance.-
8.Exterior Conditioning.-
9.Compensation and Time Change.-
10.Multiple Integration and Chaos.-
11.Line and Flat Processes.-
12.Regeneration and Local Time.-
13.Branching and Superprocesses.- Appendices.- Historical and Bibliographical Notes.- References.- Indices.
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