Approximations for multivariate characteristics of classical risk ruin processes

Abstract

Multivariate characteristic of risk processes are of high interest to academic actuaries. In such modele the probability of ruin ie obtained not only considering initial reserves u but the severity of ruin y and the surplus before ruin x. This ruin probability can be expressed using an integral equation that can be efficiently solved using Gaver-Stehfest method of invertig Laplace transforms.