LAKIBUL G FAMILY OF DISTRIBUTIONS: SPECIAL MODELS, PROPERTIES AND APPLICATIONS

In this study, a new generated family of distributions is introduced, called the Lakibul G Family of Distributions. The T-X family of distributions is used in the derivation of the proposed class. Three special models of the proposed family are derived, such as the Lakibul Uniform, Lakibul-Kumaraswamy, and Lakibul-Rayleigh distributions. Some properties of the proposed special models such as moments, mean, variance, moment generating function, survival, and hazard functions are studied. The Maximum likelihood approach is used to estimate the parameters of proposed models. Results show the following: (i) for Lakibul-Uniform distribution, it is found that this proposed probability distribution produces better estimate for electronic dataset as compared with the Cubic Transmuted Uniform distribution; (ii) for Lakibul Kumaraswamy distribution is found to give a good fit for the COVID-19 dataset compared with the Marshall-Olkin reduce Kies and the Transmuted Kumaraswamy distributions; and (iii) for the Lakibul Rayleigh distribution, it is observed that this distribution provides a better fit for precipitation dataset as compared with the Exponentiated Transform Inverse Rayleigh and the Exponentiated Inverse Rayleigh distributions.