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An infinite particle system with continual input and random death
Published online by Cambridge University Press: 01 July 2016
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.
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- Research Article
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- Copyright © Applied Probability Trust 1978
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