TY - JOUR TI - A spatial mixed Poisson framework for combination of excess-of-loss and proportional reinsurance contracts AV - public Y1 - 2009/// KW - Reinsurance models with delays; Invariance properties of spatial point processes; Order statistic property; Intensity of a Spatial Mixed Poisson Process UR - http://www.sciencedirect.com/science/article/pii/S0167668709000353 IS - 1 JF - Insurance: Mathematics and Economics A1 - Cerqueti, Roy A1 - Foschi, Rachele A1 - Spizzichino, Fabio SP - 59 N2 - In this paper a purely theoretical reinsurance model is presented, where the reinsurance contract is assumed to be simultaneously of an excess-of-loss and of a proportional type. The stochastic structure of the set of pairs (claim?s arrival time, claim?s size) is described by a Spatial Mixed Poisson Process. By using an invariance property of the Spatial Mixed Poisson Processes, we estimate the amount that the ceding company obtains in a fixed time interval in force of the reinsurance contract. ID - eprints707 EP - 64 VL - 45 ER -