T. H. M. Abouelmagd - Management Information System Department, Taibah University, Saudi Arabia. Mohammed S. Hamed - Management Information System Department, Taibah University, Assam, Saudi Arabia. Laba Handique - Department of Statistics, Dibrugarh University, Assam, India. Hafida Goual - Laboratory of Probability and Statistics, University of Badji Mokhtar, Annaba, Algeria. M. Masoom Ali - Department of Mathematical Sciences, Ball State University, Muncie, USA. Haitham M. Yousof - Department of Statistics, Mathematics and Insurance, Benha University, Egypt. Mustafa C. Korkmaz - Department of Measurement and Evaluation, ArtvinCoruh University, Artvin, Turkey.
We study a new family of distributions defined by the minimum of the Poisson random number of independent and identically distributed random variables having the Topp Leone-G distribution. Some mathematical properties of the new family are derived. Maximum likelihood estimation of the model parameters is investigated. Two special models of the new family are discussed. We perform three applications to real data sets to show the potentiality of the proposed family. In order to test the validity of the new family, a modified Chi-squared goodness-of-fit test based on Nikulin-Rao-Robson statistics is proposed theoretically.
T. H. M. Abouelmagd, Mohammed S. Hamed, Laba Handique, Hafida Goual, M. Masoom Ali, Haitham M. Yousof, Mustafa C. Korkmaz, A new class of distributions based on the zero truncated Poisson distribution with properties and applications, Journal of Nonlinear Sciences and Applications, 12 (2019), no. 3, 152--164
Abouelmagd T. H. M., Hamed Mohammed S., Handique Laba, Goual Hafida, Ali M. Masoom, Yousof Haitham M., Korkmaz Mustafa C., A new class of distributions based on the zero truncated Poisson distribution with properties and applications. J. Nonlinear Sci. Appl. (2019); 12(3):152--164
Abouelmagd, T. H. M., Hamed, Mohammed S., Handique, Laba, Goual, Hafida, Ali, M. Masoom, Yousof, Haitham M., Korkmaz, Mustafa C.. "A new class of distributions based on the zero truncated Poisson distribution with properties and applications." Journal of Nonlinear Sciences and Applications, 12, no. 3 (2019): 152--164