Acknowledgements This work was supported by the National Natural Science Foundation of China (Grant No. 11171179).
We consider a dividends model with a stochastic jump perturbed by diffusion. First, we prove that the expected discounted dividends function is twice continuously differentiable under the condition that the claim dist...
Supported by National Basic Research Program of China (973 Program) 2007CB814905, National Natural Science Foundation of China (Grant No. 10871102), and the Keygrant Project of Chinese Ministry of Education (Grant No. 309009)
In this paper, we investigate a Sparre Andersen risk model perturbed by diffusion with phase-type inter-claim times. We mainly study the distribution of maximum surplus prior to ruin. A matrix form of integro-differen...