Power law condition for stability of Poisson hail
classification
🧮 math.PR
keywords
conditionhailpoissonpowerstabilitybaccelliconsiderdistribution
read the original abstract
We consider the Poisson hail model introduced by Baccelli and Foss. We give a power law condition for the tails (spatial and temporal) of the distribution of jobs to ensure stability as the rate parameter $\lambda $ tends to zero. We then show that in a weak sense it is optimal.
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