A new Topp-Leone Kumaraswamy Marshall-Olkin generated family of distributions with applications
Mintodê Nicodème Atchadé,
Melchior A.G. N'bouké,
Aliou Moussa Djibril,
Aned Al Mutairi,
Manahil SidAhmed Mustafa,
Eslam Hussam,
Hassan Alsuhabi,
Said G. Nassr
Affiliations
Mintodê Nicodème Atchadé
National Higher School of Mathematics Genius and Modelization, National University of Sciences, Technologies, Engineering and Mathematics, Abomey, Republic of Benin; University of Abomey-Calavi/International Chair in Mathematical Physics and Applications (ICMPA: UNESCO-Chair), 072 BP 50 Cotonou, Republic of Benin
Melchior A.G. N'bouké
National Higher School of Mathematics Genius and Modelization, National University of Sciences, Technologies, Engineering and Mathematics, Abomey, Republic of Benin
Aliou Moussa Djibril
National Higher School of Mathematics Genius and Modelization, National University of Sciences, Technologies, Engineering and Mathematics, Abomey, Republic of Benin
Aned Al Mutairi
Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia
Manahil SidAhmed Mustafa
Department of Statistics, Faculty of Science, University of Tabuk, Tabuk, Saudi Arabia
Eslam Hussam
Department of Accounting, College of Business Administration in Hawtat bani Tamim, Prince Sattam bin Abdulaziz University, Saudi Arabia; Corresponding author.
Hassan Alsuhabi
Department of Mathematics, Al-Qunfudah University College, Umm Al-Qura University, Mecca, Saudi Arabia
Said G. Nassr
Department of Statistics and Insurance, Faculty of Commerce, Arish University, Al-Arish 45511, Egypt
We aim in this paper to propose a novel class of distributions that was created by merging the Topp-Leone distribution and the Generated families of Kumaraswamy and Marshall-Olkin. Its cumulative distribution function characterizes it and includes rational and polynomial functions. In particular, the following desirable properties of the new family are presented: Shannon entropy, order statistics, the quantile power series, and several associated measures and functions. Then, using a specific family member identified before, we create a parametric statistical model with the basic distribution being the inverse exponential distribution. Finally, a thorough investigation has been made to implement this new distribution with three data sets: the glass fibers data set, the glass Alumina data set and the hailing times data set. In comparison to six prominent competitors, the new model performs favorably on all statistical tests and criteria that were examined.
