Point processes and random measures
- 1 September 1977
- journal article
- Published by Cambridge University Press (CUP) in Advances in Applied Probability
- Vol. 9 (3) , 502-526
- https://doi.org/10.2307/1426111
Abstract
The purpose of this paper is to give a short introduction to the theory of point processes and random measures. Our hope is that the paper can be used as a complement to a study of Billingsley's bookConvergence of Probability Measures. The subjects treated are: topological properties of the space of realizations; characterization and convergence of random measures with special attention to simple point processses and diffuse random measures; the relation between the topology used and the Skorohod topology. Some thinning and superposition results are given without proofs.Keywords
This publication has 3 references indexed in Scilit:
- Unbegrenzt teilbare PunktprozessePublished by Walter de Gruyter GmbH ,1974
- Thinning and rare events in point processesProbability Theory and Related Fields, 1974
- Introdction to Measure and ProbabilityPublished by Cambridge University Press (CUP) ,1966