Nonsymmetric entropy I: basic concepts and results

TL;DR

This paper introduces the concept of nonsymmetric entropy, generalizing classical entropy measures, and proves a maximal entropy principle that leads to deriving important distribution laws.

Contribution

It presents the novel concept of nonsymmetric entropy and establishes a maximal entropy principle, expanding the theoretical framework of entropy measures.

Findings

Maximal nonsymmetric entropy principle was proven.

Important distribution laws were derived from the principle.

The concept generalizes Boltzmann and Shannon entropy.

Abstract

A new concept named nonsymmetric entropy which generalizes the concepts of Boltzman's entropy and shannon's entropy, was introduced. Maximal nonsymmetric entropy principle was proven. Some important distribution laws were derived naturally from maximal nonsymmetric entropy principle.