【摘要】 运用在时刻t之前破产没有发生而余额在时刻t到达区间[x,x+dx]这一事件的概率表达式,给出了某些不完全概率分布所满足的更新方程及其表达式和拉普拉斯变换,并应用其计算了一些相关平均值.这些不完全概率分布在风险理论中具有理论的和潜在的价值.更多还原

【Abstract】 In this paper the classical risk model is considered. By using the expression of the probability of the event that no ruin occurs before time t and the surplus at time t belongs to, we present some renewal equations, expressions and Laplace transforms for some defective probability distributions which are useful and potential in risk theory study. As applications we also calculate some relative mean values.更多还原