1403/01/09
سیدمحمدتقی کامل میرمصطفائی

سیدمحمدتقی کامل میرمصطفائی

مرتبه علمی: دانشیار
ارکید: https://orcid.org/0000-0003-2796-4427
تحصیلات: دکترای تخصصی
اسکاپوس:
دانشکده: دانشکده علوم ریاضی
نشانی:
تلفن: 01135302428

مشخصات پژوهش

عنوان
The odd log-logistic Marshall-Olkin power Lindley Distribution: Properties and applications
نوع پژوهش
JournalPaper
کلیدواژه‌ها
Goodness-of-fit statistics, Maximum likelihood estimation, Order statistics, Power Lindley distribution
سال
2017
مجله Journal of Statistics & Management Systems
شناسه DOI
پژوهشگران Morad Alizadeh ، S.M.T.K. MirMostafaee ، Emrah Altun ، Gamze Ozel ، Maryam KhanAhmadi

چکیده

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.