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Based on statistical learning theory on probability space and good properties of quasi-probability, some important inequalities are proven on quasi-probability space in this paper. Furthermore, some new concepts of learning theory are given and the key theorem of statistical learning theory is given and proven when samples are corrupted by equality-expect noise on quasi-probability space
In this paper, we will further discuss the property of the credibility measure and give Tchebycheff's inequality and a large number theorem. On possibility measure spaces, we will give some new concepts of the empirical risk functional, the expected risk functional and the empirical risk minimization inductive principle (ERM) according to the classical statistical learning theory. At last, we will...
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