Abstract
Consider a two-dimensional renewal risk model, in which the independent and identically distributed claim-size random vectors follow a common bivariate Farlie–Gumbel–Morgenstern distribution. Assuming that the surplus is invested in a portfolio whose return follows a Lévy process and that the claim-size distribution is heavy-tailed, uniformly asymptotic estimates for two kinds of finite-time ruin probabilities of the two-dimensional risk model are obtained.
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