Benha University

أحمد زكريا محمد عفيفى

أستاذ مساعد

كلية التجارة الاحصاءات والرياضيات والتأمينات

The Extended Burr XII Distribution with Variable Shapes for the Hazard Rate

Pakistan Journal of Statistics and Operation Research • 2017
العودة
معلومات البحث
المؤلفون T. H. M. Abouelmagd;M. S. Hamed;Ahmed Z. Afify
الكلمات المفتاحية Burr XII Distribution;Exponentiated Weibull-H family; Generating Function;Maximum Likelihood
المجلة العلمية Pakistan Journal of Statistics and Operation Research
الناشر Punjab University Press
المجلد 13
العدد 3
الصفحات 687-968
publication.type International
رابط البحث Open Link
المواد المرفقة Not Available
الملخص
We define and study a new continuous distribution called the exponentiated Weibull Burr XII. Its density
function can be expressed as a linear mixture of Burr XII. Its hazard rate is very flexibile in accomodating
various shapes including constant, decreasing, increasing, J-shape, unimodal or bathtub shapes. Various of
its structural properties are investigated including explicit expressions for the ordinary and incomplete
moments, generating function, mean residual life, mean inactivity time and order statistics. We adopted the
maximum likelihood method for estimating the model parameters. The flexibility of the new family is
illustrated by means of a real data application.
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