Normal distribution based on maximum Deng entropy

Siran Li and Fuyuan Xiao

Chaos, Solitons & Fractals, 2023, vol. 167, issue C

Abstract: We define the distribution of uncertainty based on Deng entropy and proved that the limiting form of the distribution is the normal distribution by the characteristic function. We conduct some discussion on the distribution, and we further analyze the error of its normal approximation and give the conditions that should be satisfied for the requirement of given error. Finally, we reveal the relationship between the distribution and the binomial distribution and the advantages of taking it as a prior distribution in evidence theory.

Keywords: Uncertainty; Deng entropy; Normal approximation; Statistical inference (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:167:y:2023:i:c:s096007792201236x

DOI: 10.1016/j.chaos.2022.113057

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