Staff Members - Benha University
The generalized transmuted-G family of distributions
Communications in Statistics– theory and methods. • 2017
Publication Information
Authors
Zohdy M. Nofal, Ahmed Z. Afify, Haitham M. Yousof & Gauss M. Cordeiro
Keywords
Entropy; generating function,
maximum likelihood; order
statistic; transmuted family.
Journal
Communications in Statistics– theory and methods.
Publisher
Not Available
Volume
46
Issue
8
Pages
4119-4136
publication.type
International
Paper Link
Open Link
Supplementary Materials
Not Available
Abstract
We introduce a new class of continuous distributions called the
generalized transmuted-Gfamily which extends the transmuted-Gclass.
We provide six special models of the new family. Some of itsmathematical
properties including explicit expressions for the ordinary and incomplete
moments, generating function, Rényi and Shannon entropies,
order statistics and probabilityweighted moments are derived. The estimation
of the model parameters is performed by maximum likelihood.
The flexibility of the proposed family is illustrated by means of three
applications to real data sets.
generalized transmuted-Gfamily which extends the transmuted-Gclass.
We provide six special models of the new family. Some of itsmathematical
properties including explicit expressions for the ordinary and incomplete
moments, generating function, Rényi and Shannon entropies,
order statistics and probabilityweighted moments are derived. The estimation
of the model parameters is performed by maximum likelihood.
The flexibility of the proposed family is illustrated by means of three
applications to real data sets.