par Janssen, Jacques ;Reinhard, Jean-Marie
Référence ASTIN bulletin, 15, 2, page (123-133)
Publication Publié, 1985
Article révisé par les pairs
Résumé : We consider particular semi-Markov risk models M/SM and M/SM for which the interarrival distributions are exponential with parameters depending of the risk type. We obtain theoretical expressions for the ruin probabilities on an infinite horizon. In the special case of exponential distributions for the claim amounts, ruin probabilities are in both models solutions of linear differential systems. These systems are explicitly solved when there are only two risk types. © 1985, International Actuarial Association. All rights reserved.

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