A new modified cubic transmuted-G family of distributions: Properties and different methods of estimation with applications to real-life data
Md. Mahabubur Rahman, Ahmed M. Gemeay, Md. Awwal Islam Khan, Mohammed Amine Meraou, M. E. Bakr, Abdisalam Hassan Muse, Eslam Hussam, Oluwafemi Samson Balogun
Abstract
Generating new statistical models is one of the most commonly used methods to represent real-life occurrences. Sometimes, with a known distribution, it may not be possible to represent a scenario, so we may consider generalization to incorporate more variance in the data. In this article, we offer a modified cubic transmuted-G family of distributions to enrich the members of the second-order transmuted distributions. By utilizing this modified class of distributions, we build a new distribution entitled the modified cubic transmuted Rayleigh distribution, along with its distributional features, estimate, associated inference, and real-life applications.