10 فروردین 1403
مراد عليزاده

مراد علیزاده

مرتبه علمی: استادیار
نشانی: دانشکده مهندسی سیستم های هوشمند و علوم داده - گروه آمار
تحصیلات: دکترای تخصصی / امار ریاضی
تلفن: 0
دانشکده: دانشکده مهندسی سیستم های هوشمند و علوم داده

مشخصات پژوهش

عنوان The Weibull–Dagum distribution: Properties and applications
نوع پژوهش مقالات در نشریات
کلیدواژه‌ها
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مجله COMMUNICATIONS IN STATISTICS-THEORY AND METHODS
شناسه DOI
پژوهشگران Muhammad tahir (نفر اول) ، Gauss Cordeiro (نفر دوم) ، Muhammad Mansoor (نفر سوم) ، Muhammad zubair (نفر چهارم) ، مراد علیزاده (نفر پنجم)

چکیده

In this article,we define a new lifetime model called theWeibull–Dagum distribution. The proposed model is based on the Weibull–G class. It can also be defined by a simple transformation of the Weibull random variable. Its density function is very flexible and can be symmetrical, left-skewed, right-skewed, and reversed-J shaped. It has constant, increasing, decreasing, upside-down bathtub, bathtub, and reversed-J shaped hazard rate. Various structural properties are derived including explicit expressions for the quantile function, ordinary and incomplete moments, and probability weighted moments. We also provide explicit expressions for the Rényi and q-entropies. We derive the density function of the order statistics as a mixture of Dagum densities. We use maximum likelihood to estimate the model parameters and illustrate the potentiality of the new model by means of a simulation study and two applications to real data. In fact, the proposed model outperforms the beta-Dagum, McDonald–Dagum, and Dagum models in these applications.