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Mahdi Rasekhi

Mahdi Rasekhi

Academic rank: Assistant Professor
ORCID:
Education: PhD.
ScopusId:
HIndex:
Faculty: Mathematical Sciences and Statistics
Address:
Phone: 0813-33339843 داخلی 391

Research

Title
The Marshall-Olkin exponentiated generalized G family of distributions: properties, applications, and characterizations
Type
JournalPaper
Keywords
Marshall-Olkin family, characterizations, censored Data, generating function, order statistics, maximum likelihood estimation
Year
2019
Journal Journal of Nonlinear Sciences and Applications
DOI
Researchers Mahdi Rasekhi

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 charac-terizations for 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.