Iterated Palm conditioning and some Slivnyak-type theorems for Cox and cluster processes

DOI10.1007/s10959-010-0295-6zbMath1230.60055OpenAlexW2010386489MaRDI QIDQ639334

Olav Kallenberg

Publication date: 20 September 2011

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10959-010-0295-6

zbMATH Keywords

exchangeable processescluster processesiterated conditioningmultivariate Palm measuresrandom measures and point processesrandomizations and Cox processes

Mathematics Subject Classification ID

Probabilistic measure theory (60A10) Random measures (60G57) Foundations of stochastic processes (60G05) Exchangeability for stochastic processes (60G09)

Related Items (3)

Local conditioning in Dawson-Watanabe superprocesses ⋮ Maximizing the Conditional Expected Reward for Reaching the Goal ⋮ Intersection and proximity of processes of flats

Cites Work

• Some local approximation properties of simple point processes
• Historical processes
• On Symmetrically Distributed Random Measures
• Some Properties of Stationary Flows of Homogeneous Random Events
• [https://portal.mardi4nfdi.de/wiki/Publication:5549427 Station�re zuf�llige Ma�e auf lokalkompakten Abelschen Gruppen]
• Characterization and convergence of random measures and point processes
• The conditional intensity of general point processes and an application to line processes
• Probabilistic Symmetries and Invariance Principles
• An Introduction to the Theory of Point Processes
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