Two-parameter family of distributions: Properties, estimation, and applications
Mohamed Cherif Belili,
Arwa M. Alshangiti,
Ahmed M. Gemeay,
Halim Zeghdoudi,
Kadir Karakaya,
M. E. Bakr,
Oluwafemi Samson Balogun,
Mintodê Nicodème Atchadé,
Eslam Hussam
Affiliations
Mohamed Cherif Belili
LaPS laboratory, Badji Mokhtar-Annaba University, Annaba 23000, Algeria
Arwa M. Alshangiti
Department of Statistics and Operations Research, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia
Ahmed M. Gemeay
Department of Mathematics, Faculty of Science, Tanta University, Tanta 31527, Egypt
Halim Zeghdoudi
LaPS laboratory, Badji Mokhtar-Annaba University, Annaba 23000, Algeria
Kadir Karakaya
Department of Statistics, Faculty of Sciences, Selcuk University, Konya, Türkiye
M. E. Bakr
Department of Statistics and Operations Research, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia
Oluwafemi Samson Balogun
Department of Computing, University of Eastern Finland, FI-70211 Kuopio, Finland
Mintodê Nicodème Atchadé
National Higher School of Mathematics Genius and Modelization, National University of Sciences, Technologies, Engineering and Mathematics, Abomey, Benin Republic
Eslam Hussam
Department of Mathematics, Faculty of Science, Helwan University, Cairo, Egypt
In this paper, a new flexible two-parameter family of distributions is introduced. Some mathematical properties, such as asymptotic behavior, moments, stochastic order, entropy, and quantile function, are examined. A special case of this family is introduced called Gemeay–Zeghdoudi distribution. The unknown parameters of the Gemeay–Zeghdoudi distribution are estimated via many estimators. The efficiency of the estimators is compared with a Monte Carlo simulation. The applicability of the new distribution is illustrated by the annual maximum flood and survival times of patients with breast cancer real data analyses.
