أحمد زكريا محمد عفيفى
أستاذ مساعد
The Extended Burr XII Distribution with Variable Shapes for the Hazard Rate
Pakistan Journal of Statistics and Operation Research • 2017
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.
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.
