Derive power law distribution with maximum Deng entropy

As one of the typical distributions, power law distribution is widely found in natural world. However, how to derive power law is still an open issue. The main contribution of this paper is to propose a method to derive power law distribution with maximum Deng entropy. In the proposed method, Lagrange multiplier approach, combined with the constraint of two given conditions, is used to obtain power law distribution based on maximum Deng entropy. Some numerical examples are used to illustrate the properties of the distribution.

Automated summary

This paper proposes a method to derive power law distribution with maximum Deng entropy and illustrates the properties of the distribution through numerical examples.