Erlangian Approximations for Finite-Horizon Ruin Probabilities
Erlangian Approximations for Finite-Horizon Ruin Probabilities
Abstract For the Cramér-Lundberg risk model with phase-type claims, it is shown that the probability of ruin before an independent phase-type time H coincides with the ruin probability in a certain Markovian fluid model and therefore has an matrix-exponential form. When H is exponential, this yields in particular a probabilistic …