On Stochastic Orders and its applications : Policy limits and Deductibles

This paper focuses on stochastic orders and its applications : policy limits and deductibles. Further, many applications and some examples are given : comparison of two families of copulas, individual and collective risk model, reinsurance contracts and dependent portfolios increase risk. More precisely, we propose a new model for insurance risks while we give some properties. To this end, we obtain the ordering of the optimal allocation of policy limits and deductibles for this model.