Title of article
A new class of distributions based on the zero truncated Poisson distribution with properties and applications
Author/Authors
Abouelmagd ، T. H. M. - Taibah University , Hamed ، Mohammed S. - Taibah University , Handique ، Laba - Dibrugarh University , Goual ، Hafida - University of Badji Mokhtar , Ali ، M. Masoom - Ball State University , Yousof ، Haitham M. - Benha University , Korkmaz ، Mustafa C. - ArtvinCoruh University
Pages
13
From page
152
To page
164
Abstract
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.
Keywords
Topp Leone , G family , order statistics , maximum likelihood estimation , quantile function , generating function , moments
Journal title
Journal of Nonlinear Science and Applications
Serial Year
2019
Journal title
Journal of Nonlinear Science and Applications
Record number
2477060
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