Maximum Entropy: Clearing up Mysteries

Maximum Entropy: Clearing up Mysteries

There are several mystifications and a couple of mysteries pertinent to MaxEnt. The mystifications, pitfalls and traps are set up mainly by an unfortunate formulation of Jaynes’ die problem, the cause célèbre of MaxEnt. After discussing the mystifications a new formulation of the problem is proposed. Then we turn to the mysteries. An answer to the recurring question ’Just what are we accomplish...

Clearing up Mysteries { the Original Goal

We show how the character of a scienti c theory depends on one's attitude toward probability. Many circumstances seem mysterious or paradoxical to one who thinks that probabilities are real physical properties existing in Nature. But when we adopt the \Bayesian Inference" viewpoint of Harold Je reys, paradoxes often become simple platitudes and we have a more powerful tool for useful calculatio...

Tsallis Maximum Entropy Lorenz Curves

In this paper, at first we derive a family of maximum Tsallis entropy distributions under optional side conditions on the mean income and the Gini index. Furthermore, corresponding with these distributions a family of Lorenz curves compatible with the optional side conditions is generated. Meanwhile, we show that our results reduce to Shannon entropy as $beta$ tends to one. Finally, by using ac...

Determination of Maximum Bayesian Entropy Probability Distribution

In this paper, we consider the determination methods of maximum entropy multivariate distributions with given prior under the constraints, that the marginal distributions or the marginals and covariance matrix are prescribed. Next, some numerical solutions are considered for the cases of unavailable closed form of solutions. Finally, these methods are illustrated via some numerical examples.

Clearing Up Homicide Clearance Rates