Work

A Non-Negative Measure of Information for Continuous Probability Distributions

Year: 2026

Type: article

Abstract: In this work, we investigate the possibility of using varentropy, an information measure previously proposed for discrete probability distribution, as a measure of the probabilistic uncertainty of continuous probability distribution. We show that varentropy allows avoiding negative values and some undesirable features of informational entropy encountered while using the Boltzmann–Shannon formula (and others) for continuous probability distributions.

Source: Mathematics

DOI: 10.3390/math14132311

Authors: François Xavier Machu, Jeremy Cocks, Ru Julie Wang, Aziz El Kaabouchi, Yueqing Zhu, Maryam Lhernault, Qiuping Alexandre Wang

Institutions: ESIEA University, École Supérieure des Techniques Aéronautiques et de Construction Automobile, Wuhan Textile University

Language: English

Topic: Statistical Mechanics and Entropy

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,137

OpenAlex ID: W7166678099

FWCI:

Cites: 16

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