On joint ruin probabilities of a two-dimensional risk model with constant interest rate

preprint2012arXivOpen access

Abstract

In this note we consider the two-dimensional risk model introduced in Avram et al. \cite{APP08} with constant interest rate. We derive the integral-differential equations of the Laplace transforms, and asymptotic expressions for the finite time ruin probabilities with respect to the joint ruin times Tmax(u1,u2)T_{\rm max}(u_1,u_2) and Tmin(u1,u2)T_{\rm min}(u_1,u_2) respectively.

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