An infinite particle system with continual input and random death
- 1 December 1978
- journal article
- Published by Cambridge University Press (CUP) in Advances in Applied Probability
- Vol. 10 (4) , 764-787
- https://doi.org/10.2307/1426658
Abstract
At times n = 0, 1, 2, · · · a Poisson number of particles enter each state of a countable state space. The particles then move independently according to the transition law of a Markov chain, until their death which occurs at a random time. Several limit theorems are then proved for various functionals of this infinite particle system. In particular, laws of large numbers and central limit theorems are proved.Keywords
This publication has 1 reference indexed in Scilit:
- Functionals of an infinite particle system with independent motions, creation, and annihilationAdvances in Applied Probability, 1974