Essential Conditions for the Full Synergy of Probability of Occurrence Distributions

Author:

Mondaini Rubem P.ORCID,de Albuquerque Neto Simão C.

Abstract

In this contribution, we specify the conditions for assuring the validity of the synergy of the distribution of probabilities of occurrence. We also study the subsequent restriction on the maximal extension of the strict concavity region on the parameter space of Sharma–Mittal entropy measures, which has been derived in a previous paper in this journal. The present paper is then a necessary complement to that publication. Some applications of the techniques introduced here are applied to protein domain families (Pfam databases, versions 27.0 and 35.0). The results will show evidence of their usefulness for testing the classification work performed with methods of alignment that are used by expert biologists.

Publisher

MDPI AG

Subject

General Physics and Astronomy

Reference13 articles.

1. The Statistical Analysis of Protein Domain Family Distributions via Jaccard Entropy Measures;Mondaini,2020

2. Alternative Entropy Measures and Generalized Khinchin–Shannon Inequalities

3. Khinchin–Shannon Generalized Inequalities for “Non-additive” Entropy Measures;Mondaini,2019

4. Generalised information and entropy measures in physics

5. New Non-additive Measures of Entropy for Discrete Probability Distributions;Sharma;J. Math. Sci.,1975

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. A Comprehensive Review of Sharma-Mittal Entropy Measures and Their Usefulness in the Study of Discrete Probability Distributions in Mathematical Biology;Trends in Biomathematics: Exploring Epidemics, Eco-Epidemiological Systems, and Optimal Control Strategies;2024

2. The Maximal Extension of the Strict Concavity Region on the Parameter Space for Sharma-Mittal Entropy Measures: II;Trends in Biomathematics: Modeling Epidemiological, Neuronal, and Social Dynamics;2023

3. The Maximal Extension of the Strict Concavity Region on the Parameter Space for Sharma-Mittal Entropy Measures;Trends in Biomathematics: Stability and Oscillations in Environmental, Social, and Biological Models;2022

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