أعضاء هيئة التدريس - جامعة بنها
THE TRANSMUTED GEOMETRIC-G FAMILY OF DISTRIBUTIONS: THEORY AND APPLICATIONS
Pak. J. Statist. • 2016
معلومات البحث
المؤلفون
Ahmed Z. Afify,
Morad Alizadeh,
Haitham M. Yousof,
Gokarna Aryal and
Munir Ahmad
الكلمات المفتاحية
Transmuted-G Class, Maximum Likelihood, Generating Function, Order Statistic,
Probability Weighted Moments.
المجلة العلمية
Pak. J. Statist.
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 family of continuous distributions called the transmuted
geometric-G family which extends the transmuted family pioneered by Shaw and
Buckley (2007). 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. Some special models of
the new family are provided. The maximum likelihood method is used for estimating the
model parameters. The importance and flexibility of the proposed family are illustrated
by two applications to real data sets.
geometric-G family which extends the transmuted family pioneered by Shaw and
Buckley (2007). 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. Some special models of
the new family are provided. The maximum likelihood method is used for estimating the
model parameters. The importance and flexibility of the proposed family are illustrated
by two applications to real data sets.