The Key Theorem Of Statistical Learning Theory On Possibility Measure Spaces

In this paper, we will further discuss the property of the credibility measure and give TchebychefPs inequality and a large number theorem.On possibility measure spaces,we will give some new concepts of empirical risk functional, the expected risk functional, the empirical risk minimization inductive principle (ERM) according to theclassical statistical learning theory. At last, we will give and prove the key theorem of the statistical learning on the base of it.