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Functionals of an infinite particle system with independent motions, creation, and annihilation

Published online by Cambridge University Press:  01 July 2016

P. A. Jacobs
P. A. Jacobs*
Affiliation:
Stanford University
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Abstract

Particles enter a state space at random times. Each particle travels in the space independent of the other particles until its death. Functionals of the particle system are studied with strong laws and central limit theorems being obtained.

Keywords

PARTICLE SYSTEMSINDEPENDENT MOTIONSFUNCTIONALSCOMPOUND STOCHASTIC PROCESSES
Type
Research Article
Information
Advances in Applied Probability , Volume 6 , Issue 4 , December 1974 , pp. 636 - 650
Copyright
Copyright © Applied Probability Trust 1974 

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