Journal
CHAOS SOLITONS & FRACTALS
Volume 165, Issue -, Pages -Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.chaos.2022.112877
Keywords
Power law distribution; Maximum entropy; Deng entropy; Mass function; Probability distribution
Categories
Funding
- National Natural Science Foundation of China [61973332]
- JSPS Invitational Fellowships for Research in Japan
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This paper proposes a method to derive power law distribution with maximum Deng entropy and illustrates the properties of the distribution through numerical examples.
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.
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