[1]ZHAO Keqin,ZHAO Senfeng.Distribution of gambling capital and expectation value theorem for Zhao Senfeng-Keqin probability[J].CAAI Transactions on Intelligent Systems,2017,12(5):608-615.[doi:10.11992/tis.201604020]
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Distribution of gambling capital and expectation value theorem for Zhao Senfeng-Keqin probability

CAAI Transactions on Intelligent Systems[ISSN 1673-4785/CN 23-1538/TP] Volume: 12 Number of periods: 2017 5 Page number: 608-615 Column: 学术论文—机器学习 Public date: 2017-10-25
Title:
Distribution of gambling capital and expectation value theorem for Zhao Senfeng-Keqin probability
Author(s):
ZHAO Keqin1; 2;  ZHAO Senfeng1
1. Zhuji Institute of Connection Mathematics, Zhuji 311811, China;
2. Center for Non-traditional Security and Peaceful Development Studies, Zhejiang University, Hangzhou 310058, China
Keywords:
distribution of gambling capital; mathematical expectation; Zhao Senfeng-Keqin probability (contact probability); uncertainty; expectation value theorem
CLC:
TP18
DOI:
10.11992/tis.201604020
Abstract:
With respect to the reasonable distribution of gambling capital in the developmental history of probability theory, Zhao Senfeng-Keqin probability has been used to investigate the minimum number of gambling times necessary for the rational allocation of the minimum amount of gambling capital. Results have shown that the mathematical expectation for this problem, based on classical probability, failed to occur in practice. What appeared instead are two extreme values of "mathematical expectation" based on the Zhao Senfeng-Keqin probability, which can objectively reflect the gambling results within the smallest and largest number of gambling times for a given rule. In addition, it describes both the classic expectation value and the actual value, thereby providing a basis for formulating or amending specific gambling tactics and the reasonable allocation of gambling capital. The result is an uncertainty theorem for the expectation value. In this paper, we illustrate the practical significance of this theorem by giving an example of service charging on a robot.
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