中文摘要：

在这份报纸，我们与我们允许剩余过程如果剩余低于零掉落，继续的 Markovian 到达学习风险模型。我们首先为毁灭的严厉导出表情。然后由为毁灭的严厉使用二维的 Markov 进程和表达式的强壮的 Markovian 性质，我们获得否定剩余的全部的持续时间的 Laplace 变换。

英文摘要：

In this paper, we study the risk model with Markovian arrivals where we allow the surplus process to continue if the surplus falls below zero. We first derive expressions for the severity of ruin. Then by using the strong Markovian property of a two-dimensional Markov process and the expression for the severity of ruin, we obtain the Laplace transform of the total duration of negative surplus.