Asymptotic finite-time ruin probabilities in a dependent bidimensional renewal risk model with subexponential claims

摘要

This paper considers a bidimensional continuous-time renewal risk model, in which the two components of each pair of claim sizes are linked via the strongly asymptotic independence structure and the two claim-number processes from different lines of business are (almost) arbitrarily dependent. Precise asymptotic formulas for three kinds of finite-time ruin probabilities are established when the claim sizes have heavy-tailed tails.