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Results in the asymptotic and equilibrium theory of Poisson cluster processes
- Source :
- Journal of Applied Probability. 10:807-823
- Publication Year :
- 1973
- Publisher :
- Cambridge University Press (CUP), 1973.
-
Abstract
- This paper contains a detailed study of the Poisson cluster process on the real line, concentrating on two aspects; first, the asymptotic distribution of the number of points in [0,t) as tâ â for both transient and equilibrium cluster processes and, secondly, a general formula for the probability generating function of the equilibrium process. Asymptotic formulae for cumulants of the process are also derived. The results obtained generalize those of previous writers. The approach is analytical, in contrast to the probabilistic treatment of P. A. W. Lewis.
- Subjects :
- Statistics and Probability
Asymptotic analysis
General equilibrium theory
Computer Science::Information Retrieval
General Mathematics
010102 general mathematics
Poisson distribution
01 natural sciences
010104 statistics & probability
symbols.namesake
Cluster (physics)
symbols
Statistical physics
0101 mathematics
Statistics, Probability and Uncertainty
Mathematical economics
Mathematics
Subjects
Details
- ISSN :
- 14756072 and 00219002
- Volume :
- 10
- Database :
- OpenAIRE
- Journal :
- Journal of Applied Probability
- Accession number :
- edsair.doi.dedup.....67b47c3415f85880f032e4847b8d31c4