Abstract
we consider the ruin problems under Liu et al. (2005)’s continuous-time compound binomial risk model. Firstly we construct a martingale by a piecewise deterministic Markov processes (PDMP). Secondly, by application of martingale, we get some results about ruin theory and continuous-time compound binomial risk model is generalized by discounting with respect to the time of ruin. It is interesting that the limiting case of all results is the ones in the compound Poisson risk model.
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