Some Problems Of Tsallis Maximum Entropy Principle

In this article,the maximum entropy principle of Tsallis and the maximum entropy principle of Tsallis under constraint conditions are introduced.Secondly,for the inverse problem of the maximum entropy method,the inverse problem of the prior probability of using the maximum entropy principle of Tsallis in Bayesian parameter estimation is discussed.For some specific probability distributions,according to the Tsallis maximum entropy principle,the variational method is used to solve the constraint condition that the Tsallis entropy reaches the maximum value.The solution of the inverse problem is generally not unique.Other distributions can also be used according to this.The method is derived.Finally,the Tsallis-type non-symmetric entropy is proposed.This entropy generalizes the Tsallis entropy and non-symmetric entropy,and proves the maximum Tsallis-type non-symmetric entropy principle.From this principle,the Tsallis entropy and non-symmetric entropy principle can be obtained.More distribution to illustrate the usefulness of the principle.