Derive power law distribution with maximum Deng entropy

Zihan Yu and Yong Deng

Chaos, Solitons & Fractals, 2022, vol. 165, issue P2

Abstract: 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.

Keywords: Power law distribution; Maximum entropy; Deng entropy; Mass function; Probability distribution (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:165:y:2022:i:p2:s0960077922010566

DOI: 10.1016/j.chaos.2022.112877

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