This dissertation is devoted to dealing with ruin theory for some kinds of risk models which include the Sparre Andersen risk model, Cox risk model and the generalized Cox risk model, and we discuss the Cox risk model with stochastic rates of interest.

• 本学位论文致力于发展几类推广的风险模型中的破产理论。 主要研究更新风险模型,多险种Cox风险模型,带随机利率的Cox风险模型,最后讨论了推广的Cox风险模型,并给出了一个大偏差结果。