Boundary of Ruin Probability and Expectation of the Ruin Time in Conditional Poisson Risk Model

We generalized the classical risk model and used a conditional poisson process to describe the claim arrival,by constructing a submartingale,based on the assumption that the surplus is zero when ruin,we gave a lower bound of ruin probability and the upper bound of the expectation of ruin time on the conditional poisson risk model,in the case of the dividend,we gave the lower bound of the ruin probability when the dividend line was a linear case.