Asymptotic behavior of ruin probabilities in an insurance risk model with quasi-asymptotically independent or bivariate regularly varying-tailed main claim and by-claim (Q2658425)

Summary: This paper considers a by-claim risk model under the asymptotical independence or asymptotical dependence structure between each main claim and its by-claim. In the presence of heavy-tailed main claims and by-claims, we derive some asymptotic behavior for ruin probabilities.