Point Processes - NMTP564
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Random measures on locally compact spaces, point processes as integer-valued
random measures, existence and uniqueness results, Poisson processes, moment
measures and the Laplace functional, Palm distribution, convergence of point
processes, stationary point processes in $R^d$, point processes on the set of
compact subsets of $R^d$, the Boolean model, exterior conditioning.
Literature:
(1) D.J.Daley, D.Vere-Jones: An Introduction to the Theory of Point Processes
(Springer, 1988)
(2) O.Kallenberg: Random Measures (Akademie-Verlag Berlin, 1983)
(3) D.Stoyan, W.S.Kendall, J.Mecke: Stocha
Last update: T_KPMS (16.05.2013)
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To explain mathematical foundations of stochastic geometry. Last update: T_KPMS (16.05.2013)
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Literature: (1) D.J.Daley, D.Vere-Jones: An Introduction to the Theory of Point Processes (Springer, 1988) (2) O.Kallenberg: Random Measures (Akademie-Verlag Berlin, 1983) (3) D.Stoyan, W.S.Kendall, J.Mecke: Stocha Last update: T_KPMS (16.05.2013)
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Lecture. Last update: T_KPMS (16.05.2013)
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1. Random measures and point processes on locally compact spaces. 2. Existence of processes with given finite dimensional distributions. 3. Intensity measure, moment measures, Laplace functional. 4. Palm distribution of a point process. 5. Poisson point process and Boolean model. 6. Weak convergence of point processes. 7. Gibbs point processes. Last update: T_KPMS (16.05.2013)
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