Precise Large Deviations of Aggregate Claims with Dominated Variation in Dependent Multi-Risk Models

摘要

We consider a dependent multirisk model in insurance, where all the claims constitute a linearly extended negatively orthant dependent (LENOD) random array, and then upper and lower bounds for precise large deviations of nonrandom and random sums of random variables with dominated variation are investigated. The obtained results extend some related existingones.