Staff Members - Benha University
THE TRANSMUTED GEOMETRIC-G FAMILY OF DISTRIBUTIONS: THEORY AND APPLICATIONS
Pak. J. Statist. • 2016
Publication Information
Authors
Ahmed Z. Afify,
Morad Alizadeh,
Haitham M. Yousof,
Gokarna Aryal and
Munir Ahmad
Keywords
Transmuted-G Class, Maximum Likelihood, Generating Function, Order Statistic,
Probability Weighted Moments.
Journal
Pak. J. Statist.
Publisher
Not Available
Volume
Not Available
Issue
Not Available
Pages
Not Available
publication.type
International
Paper Link
Not Available
Supplementary Materials
Not Available
Abstract
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.