In this paper, we introduce a new family of univariate continuous distributions called the Gamma Kumaraswamy-generated family of distributions. Most of its properties are studied in detail, including skewness, kurtosis, analytical comportments of the main functions, moments, stochastic ordering...

Continuous formulations of new distributions defined on the unit interval have gained attention because of their relevance in modeling proportion data. We innovate in this research direction by combining logarithmic, cosine, and power functions to create a log-cosine-power cumulative...