a duality result for the generalized erlang risk model
;Lanpeng Ji;Chunsheng Zhang
world neurosurgery2014Vol. 2pp. 456-466
131
ji2014risksa
Abstract
In this article, we consider the generalized Erlang risk model and its dual model. By using a conditional measure-preserving correspondence between the two models, we derive an identity for two interesting conditional probabilities. Applications to the discounted joint density of the surplus prior to ruin and the deficit at ruin are also discussed.