On a New Unit Distribution Incorporating an Adjustable Function and a Shape Parameter

  • Christophe Chesneau Department of Mathematics, LMNO, University of Caen-Normandie, 14032 Caen, France
DOI: https://doi.org/10.34198/ejms.16426.40.683695
Keywords: unit distributions, probability functions, trigonometric functions, mean

Abstract

In this article, we introduce a new unit distribution characterized by the inclusion of an adjustable function and a shape parameter, which together provide greater flexibility for modelling proportions, rates, and other fractional data. We investigate several of its fundamental properties, emphasizing its adaptability and broad potential for application. The proposed distribution extends existing classes of unit distributions and offers a promising framework for further theoretical developments and practical applications.

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References

Afuecheta, E., Okorie, I. E., Jallow, H., & Nadarajah, S. (2025). A review of unit continuous probability distributions. AIMS Mathematics, 10(11), 25939-26057. https://doi.org/10.3934/math.20251146

Cordeiro, G. M., Silva, R. B., & Nascimento, A. D. C. (2020). Recent advances in lifetime and reliability models. Bentham Science Publishers.

Published
2026-05-23
How to Cite
Chesneau, C. (2026). On a New Unit Distribution Incorporating an Adjustable Function and a Shape Parameter . Earthline Journal of Mathematical Sciences, 16(4), 683-695. https://doi.org/10.34198/ejms.16426.40.683695
Issue
Vol 16 No 4 (2026): (July Issue - in Progress)
Section
Articles


This work is licensed under a Creative Commons Attribution 4.0 International License.

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