Unit Fav-jerry Distribution: Properties and Applications
Year: 2025
Type: article
Abstract: This paper introduces a novel bounded statistical distribution and explores its key characteristics, including cumulative distribution, probability density, and hazard rate functions, illustrated using graphical representations. The study examines mathematical properties such as moments, skewness, kurtosis, the Bonferroni and Lorenz curves, and order statistics. Estimators for the unknown parameter of new models are assessed, with performance evaluated via bias, mean square errors, average absolute bias, and mean relative error in Monte Carlo simulations. Finally, the practical utility of the new model is demonstrated through two real data analyses.
Authors: Kadir Karakaya, Şule Sağlam
Institution: Selçuk University
Language: English
Subfield: Statistics and Probability
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4411762990