利用Laplace变换的方法, 将Bernoulli序列赌博系统推广到非负连续随机变量的情形,同时将随机选择系统视为每次参赌的投注, 从而得到了累积赢利与 累积赌注之比的极限估计和关于公平性的若干结果.

By using the approach of Laplace transform, the strong deviation theorems for gambling system of Bernoulli trial sequence are extended to the case of the non-negative continuous random variables. Moreover, the stochastic selection system is viewed as the stakes of every trials. Finally, we obtain the limit
estimation of ratio between accumulated gain and accumulated stakes, as well as some important conclusions for fairness.