A Series of Strong Deviation Theorems for Nonnegative Integer-valued Gambling System
Yun Bai · Mathematica Applicata · 2004
The conception of profitlio is introduced.In this paper,we get a series of strong deviation theorems represented by inequalities by the means of submartingles and contrasting the experiential distribution and the real distribution.Depending on these theorems,we can say there is no profitlio which can change the better's furtune under the consumption of fair gambling.