A upper bound of the ruin probability is got and a explicit expression of Ψ( u ) is given when the arrival of the policies and the occurrence of the claims have the same intensity process .

并在假设保单的到达和 理赔的发生具有相同的累积强度过程时，给出了破产概率的明确 表达式。

A sufficient condition for the exponential mean-square stability of the filtering error system is first derived and an upper bound of the state estimation error variance is then obtained and afterwards the explicit expression of the desired filters has been parameterized .

首先建立了滤波误差系统同时满足指数均方稳定与误差方差 上界 约束的充分条件，其次 给出了所求滤波器的具体算法。