In the paper, we consider a compound risk model, where all the claim sizes satisfy adependence structure, and the accident inter-arrival time and the claim-number of the subsequentaccident satisfy another dependence structure described by a conditional tail probability of theinter-arrival time given the subsequent claim-number. We obtain the asymptotic lower and upperbounds for the precise large deviations of the aggregate claims, with a feature that the asymptoticbounds hold uniformly for all x in an infinite t -interval.
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