Abstract

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.

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.