Asymptotic Multivariate Finite-time Ruin Probability with Statistically Dependent Heavy-tailed Claims

This note deals with the multiple lines of business of an insurance company, in which capital transfers between lines are partially allowed. Under the framework of heavy-tailed non-identically marginal distributed claim amounts with some dependent structure, we derive the asymptotic finite-time ruin probability and study the optimal allocation of the global initial reserve in the sense of minimizing the asymptotic ruin probability. Some numerical simulations results are presented as well.