Staff Members - Benha University
A new class of distributions based on the zero truncated Poisson distribution with properties and applications
Journal of Nonlinear Sciences and Applications (J. Nonlinear Sci. Appl.) • 2018
Publication Information
Authors
T. H. M. Abouelmagd, Mohammed S. Hameda, Laba Handique, Hafida Goual, M. Masoom Ali, Haitham M.
Yousof, Mustafa C¸ . Korkmaz
Keywords
Topp Leone-G family, order statistics, maximum likelihood estimation, quantile function, generating function,
moments.
Journal
Journal of Nonlinear Sciences and Applications (J. Nonlinear Sci. Appl.)
Publisher
International Scientific Research Publications
Volume
12
Issue
3
Pages
152–164
publication.type
International
Paper Link
Open Link
Supplementary Materials
Not Available
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.
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.