Document Type
Article
Publication Date
2020
Publisher
International Scientific Research Publications
Source Publication
Journal of Nonlinear Sciences and Application
Source ISSN
2008-1898
Original Item ID
DOI: 10.22436/jnsa.013.01.04
Abstract
In this paper, we propose and study a new class of continuous distributions called the Marshall-Olkin exponentiated generalized G (MOEG-G) family which extends the Marshall-Olkin-G family introduced by Marshall and Olkin [A. W. Marshall, I. Olkin, Biometrika 84 (1997), 641-652]. Some of its mathematical properties including explicit expressions for the ordinary and incomplete moments, generating function, order statistics and probability weighted moments are derived. Some characteristics of the new family are presented. Maximum likelihood estimation for the model parameters under uncensored and censored data is addressed in Section 5 as well as a simulation study to assess the performance of the estimators. The importance and flexibility of the new family are illustrated by means of two applications to real data sets.
Recommended Citation
Yousof, Haitham M.; Rasekhi, Mahdi; Alizadeh, Morad; and Hamedani, Gholamhossein, "The Marshall-Olkin exponentiated generalized G family of distributions: properties, applications, and characterizations" (2020). Mathematical and Statistical Science Faculty Research and Publications. 124.
https://epublications.marquette.edu/math_fac/124
Comments
Published version. Journal of Nonlinear Sciences and Applications, Vol. 13, No. 1 (2020): 34-52. DOI. © 2020 International Scientific Research Publications. Used with permission.