Ruin Probability for Non-standard Poisson Risk Model with Stochastic Returns
Tao Jiang, Stochastic Returns
Abstract
Tao Jiang, Stochastic Returns
Abstract
Abstract—This paper investigates the finite time ruin probability in non-homogeneous Poisson risk model, conditional Poisson risk models and renewal risk model with stochastic returns. Under the assumption that the claimsize is subexponentially distributed, a simple asymptotic relation is established when the initial capital tends to infinity. The results obtained extend the corresponding results of constant interest force. Key Words:
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Abstract—This paper investigates the finite time ruin probability in non-homogeneous Poisson risk model, conditional Poisson risk models and renewal risk model with stochastic returns. Under the assumption that the claimsize is subexponentially distributed, a simple asymptotic relation is established when the initial capital tends to infinity. The results obtained extend the corresponding results of constant interest force. Key Words:
Key concepts: Poisson distribution, Infinity, Mathematics, Ruin theory, Risk model, Poisson regression, Econometrics, Simple (philosophy)