Simple approximations for the ruin probability in the risk model with stochastic premiums and a constant dividend strategy

Simple approximations for the ruin probability in the risk model with stochastic premiums and a constant dividend strategy

Blog Article

We deal with a generalization Sensor Board of the risk model with stochastic premiums where dividends are paid according to a constant dividend strategy and consider heuristic approximations for the ruin probability.To be more precise, we construct five- and three-moment analogues to the De Vylder approximation.To this end, we obtain LCD/LED Display Panels an explicit formula for the ruin probability in the case of exponentially distributed premium and claim sizes.Finally, we analyze the accuracy of the approximations for some typical distributions of premium and claim sizes using statistical estimates obtained by the Monte Carlo methods.