By recursive method and Martingale method, we derive the integral equation for the survival probability and obtain the exponentialinequality for the ruin probability.
本章主要通过递推方法和鞅方法得出生存概率所满足的积分方程以及破产概率上界。
2
In this paper, we prove the inequality relations of arithemetric mean, logarithmic mean, exponential mean and geometric mean for two positive numbers by using probabilistic method.
本文用概率方法证明了关于两个相异的正数的几何平均、对数平均、指数平均和算术平均的不等式关系。
3
Global exponential stability theorems are given by using a method based on delay differential inequality.