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Uniform asymptotics for discounted aggregate claims in dependent multi-risk model

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ABSTRACT In this paper, we consider a nonstandard renewal multi-risk model where a company has n types of independent insurance contracts and each contract has some dependent claims and stochastic… Click to show full abstract

ABSTRACT In this paper, we consider a nonstandard renewal multi-risk model where a company has n types of independent insurance contracts and each contract has some dependent claims and stochastic return. The price process of the investment portfolio is described as a geometric Lévy process. When the claim size distribution belongs to the class of , we can get some asymptotic formulae for the tail probability of n types contracts’ discounted aggregate claims and ruin probabilities, holding uniformly for some finite horizons.

Keywords: risk model; discounted aggregate; aggregate claims; multi risk

Journal Title: Communications in Statistics - Theory and Methods
Year Published: 2019

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