أعضاء هيئة التدريس - جامعة بنها
The Generalized Transmuted-G Family of Distributions
Communications in Statistics -- Theory and Methods • 2015
معلومات البحث
المؤلفون
Zohdy M. Nofal; Ahmed Z. Afifya; Haitham M. Yousof; Gauss M. Cordeiro
الكلمات المفتاحية
Entropy, Generating Function, Maximum Likelihood, Order
Statistic, Transmuted Family.
المجلة العلمية
Communications in Statistics -- Theory and Methods
الناشر
Not Available
المجلد
Not Available
العدد
Not Available
الصفحات
Not Available
publication.type
International
رابط البحث
Not Available
المواد المرفقة
Not Available
الملخص
We introduce a new class of continuous distributions called the generalized transmuted-G family which extends the quadratic rank trans-
mutation map pioneered by Shaw and Buckley (2007). We provide six
special models of the new family. Some of its mathematical properties
including explicit expressions for the ordinary and incomplete moments,
generating function, Rényi and Shannon entropies, order statistics and
probability weighted moments are derived. The estimation of the model
parameters is performed by maximum likelihood. The fiexibility of the
proposed family is illustrated by means of three applications to real data
sets.
mutation map pioneered by Shaw and Buckley (2007). We provide six
special models of the new family. Some of its mathematical properties
including explicit expressions for the ordinary and incomplete moments,
generating function, Rényi and Shannon entropies, order statistics and
probability weighted moments are derived. The estimation of the model
parameters is performed by maximum likelihood. The fiexibility of the
proposed family is illustrated by means of three applications to real data
sets.