A novel probability distribution with robust parametric properties

Na'awurti William Nyandaiti; Abbakar Yusuf Muhammad; Isaac Gongsin Esbond

doi:10.32890/jcia2025.4.2.7

Authors

Na'awurti William Nyandaiti University of Maiduguri Teaching Hospital, Nigeria
Abbakar Yusuf Muhammad University of Maiduguri, Nigeria
Isaac E. Gongsin University of Maiduguri, Nigeria

DOI:

https://doi.org/10.32890/jcia2025.4.2.7

Keywords:

compound, epsilon, generalized distributions, TopLE distribution, Topp-Leone

Abstract

The continuous evolution of statistical modelling has spurred the development of novel probability distributions to address complex data challenges. This paper introduces the Topp-Leone Epsilon (TopLE) distribution, derived by combining the Topp-Leone and epsilon distributions. The TopLE distribution exhibits attractive parametric properties, including flexible shape and scale parameters, a closed-form quantile function, and efficient parameter estimation using computational tools. Simulation studies demonstrate the distribution's efficiency, consistency, and stability, making it suitable for a wide range of applications in lifetime data analysis. Two comparative applications with four standard distributions have shown the TopLE distribution to be a competitive choice in modelling real-life datasets. This work contributes to the statistical literature by providing a versatile and competitive model for modern data complexities.

Author Biographies

Abbakar Yusuf Muhammad, University of Maiduguri

Associate Professor
Isaac E. Gongsin, University of Maiduguri

Senior Lecturer

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