08 خرداد 1402
سيدمحمدتقي كامل ميرمصطفائي

سیدمحمدتقی کامل میرمصطفائی

مرتبه علمی: دانشیار
نشانی: دانشگاه مازندران-دانشکده علوم ریاضی- گروه آمار
تحصیلات: دکترای تخصصی / آمار
تلفن: 01135302428
دانشکده: دانشکده علوم ریاضی

مشخصات پژوهش

عنوان The exponentiated generalized power Lindley distribution: Properties and applications
نوع پژوهش مقاله چاپ شده
کلیدواژه‌ها
Anderson-Darling test statistic, Exponentiated generalized class of distributions, Lambert function, Maximum likelihood method, Power Lindley distribution.
مجله Applied Mathematics-A Journal of Chinese Universities Series B
شناسه DOI https://doi.org/10.1007/s11766-019-3515-6
پژوهشگران سیدمحمدتقی کامل میرمصطفائی (نفر اول) ، مراد علیزاده (نفر دوم) ، امراه آلتون (نفر سوم) ، سارالیس ناداراجا (نفر چهارم)

چکیده

In this paper, we introduce a new extension of the power Lindley distribution, called the exponentiated generalized power Lindley distribution. Several mathematical properties of the new model such as the shapes of the density and hazard rate functions, the quantile function, moments, mean deviations, Bonferroni and Lorenz curves and order statistics are derived. Moreover, we discuss the parameter estimation of the new distribution using the maximum likelihood and diagonally weighted least squares methods. A simulation study is performed to evaluate the estimators. We use two real data sets to illustrate the applicability of the new model. Empirical findings show that the proposed model provides better fits than some other well-known extensions of Lindley distributions.