Buch, Englisch, 328 Seiten, Format (B × H): 160 mm x 243 mm, Gewicht: 1440 g
Marked Point and Piecewise Deterministic Processes
Buch, Englisch, 328 Seiten, Format (B × H): 160 mm x 243 mm, Gewicht: 1440 g
Reihe: Probability and Its Applications
ISBN: 978-0-8176-4215-0
Verlag: Birkhauser Boston
This text offers a mathematically rigorous exposition of the basic theory of marked point processes developing randomly over time, and shows how this theory may be used to treat piecewise deterministic stochastic processes in continuous time. The point processes are constructed from scratch with detailed proofs. The second part of the book addresses applications of the just developed theory; this analysis of various models in applied statistics and probability includes examples and exercises. Graduate students and researchers will find this text an excellent resource, requiring for mastery a solid foundation in probability theory, measure and integration, as well as some knowledge of stochastic processes and martingales. However, the material is presented so as to be accessible to a wider cross-disciplinary audience.
Zielgruppe
Research
Autoren/Hrsg.
Fachgebiete
- Mathematik | Informatik Mathematik Stochastik Elementare Stochastik
- Mathematik | Informatik Mathematik Stochastik Mathematische Statistik
- Mathematik | Informatik Mathematik Mathematische Analysis Reelle Analysis
- Wirtschaftswissenschaften Volkswirtschaftslehre Volkswirtschaftslehre Allgemein Ökonometrie
- Mathematik | Informatik Mathematik Stochastik Wahrscheinlichkeitsrechnung
- Wirtschaftswissenschaften Betriebswirtschaft Wirtschaftsmathematik und -statistik
- Mathematik | Informatik Mathematik Stochastik Stochastische Prozesse
- Mathematik | Informatik Mathematik Operations Research Spieltheorie
- Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
Weitere Infos & Material
Theory.- Simple and Marked Point Processes.- Construction of SPPs and MPPs.- Compensators and Martingales.- Likelihood Processes.- Independence.- Piecewise Deterministic Markov Processes.- Applications.- The Basic Models from Survival Analysis.- Branching, Ruin, Soccer.- A Model from Finance.- Examples of Queueing Models.- Appendices.- Differentiation of Cadlag Functions.- Filtrations, Processes, Martingales.
