【摘要】 利用上鞅的性质,讨论赌博中赌徒的随机选择系统(赌金)在[0,∞)上取值时,赌徒对随机变量序列的估计分布与真实分布之间的极限关系,得到了用不等式表示的强偏差定理,从而得到在随机变量独立情况下庄家合理收取入场费的条件.更多还原

【Abstract】 In this paper,the random selection system is extended to[0,∞).With the property of submartingles we get a series of strong deviation theorems represented by inequalities by contrasting the experiential distribution and the real distribution.Depending on these theorems,we can get the fair fee on condition that the variables are independent.更多还原