@article{eprints707, year = {2009}, title = {A spatial mixed Poisson framework for combination of excess-of-loss and proportional reinsurance contracts}, pages = {59 -- 64}, number = {1}, author = {Roy Cerqueti and Rachele Foschi and Fabio Spizzichino}, journal = {Insurance: Mathematics and Economics}, volume = {45}, url = {http://eprints.imtlucca.it/707/}, abstract = {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.}, keywords = {Reinsurance models with delays; Invariance properties of spatial point processes; Order statistic property; Intensity of a Spatial Mixed Poisson Process} }