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S.M.T.K. MirMostafaee

S.M.T.K. MirMostafaee

Academic rank: Associate Professor
ORCID: https://orcid.org/0000-0003-2796-4427
Education: PhD.
ScopusId:
Faculty: Faculty of Mathematical Sciences
Address: Department of Statistics‎, ‎Faculty of Mathematical Sciences‎, ‎University of Mazandaran‎, P.O‎. ‎Box 47416-1467‎, ‎Babolsar, ‎Iran‎
Phone: 01135302428

Research

Title
The odd log-logistic Marshall-Olkin power Lindley Distribution: Properties and applications
Type
JournalPaper
Keywords
Goodness-of-fit statistics, Maximum likelihood estimation, Order statistics, Power Lindley distribution
Year
2017
Journal Journal of Statistics & Management Systems
DOI
Researchers Morad Alizadeh ، S.M.T.K. MirMostafaee ، Emrah Altun ، Gamze Ozel ، Maryam KhanAhmadi

Abstract

In this paper, we introduce a new extension of the power Lindley distribution, called the odd log-logistic Marshall-Olkin power Lindley distribution. We discuss some of its properties such as the shapes of the density, hazard rate functions, quantile function, mixture representation, moments, and order statistics. We also obtain the estimators of the parameters through maximum likelihood approach. A simulation study is performed to evaluate the performance of the maximum likelihood estimators. Finally, two real data sets are applied to illustrating of the usefulness of the new model and to comparing the fit of the new distribution with those attained by some other extensions of the Lindley and power Lindley distributions.