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

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.