Ruin Model for Multitype-insurance with Stochastic Premium
WU Wen-hua
Abstract
WU Wen-hua
Abstract
Classical risk model is fit for the case whose insurance premium in unit time is a constant,but not fit for that whose having a perturbed term and insurance premium is stochastic.So this is a defect of the classical risk model.In this paper,we establish a ruin model of the multitype-insurance.By arguments,we obtain five theorems,give a probability of the ruin and its upper bound and extend the scope of application of the ruin model.
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Classical risk model is fit for the case whose insurance premium in unit time is a constant,but not fit for that whose having a perturbed term and insurance premium is stochastic.So this is a defect of the classical risk model.In this paper,we establish a ruin model of the multitype-insurance.By arguments,we obtain five theorems,give a probability of the ruin and its upper bound and extend the scope of application of the ruin model.
Key concepts: Risk model, Ruin theory, Mathematics, Constant (computer programming), Scope (computer science), Unit (ring theory), Actuarial science, Upper and lower bounds