Staff Members - Benha University
The Kumaraswamy transmuted-G family of distributions: Properties and applications
Journal of Data Science • 2016
Publication Information
Authors
Ahmed Z. Afify;Gauss M. Cordeiro;Haitham M. Yousof;Ayman Alzaatreh;Zohdy M. Nofal
Keywords
Generating Function;Kumaraswamy-G Family;Maximum Likelihood;Order Statistic;Probability Weighted Moment;Transmuted Family
Journal
Journal of Data Science
Publisher
Not Available
Volume
14
Issue
2
Pages
245-270
publication.type
International
Paper Link
Open Link
Supplementary Materials
Not Available
Abstract
We introduce a new class of continuous distributions called the Kumaraswamy transmuted-G family which extends the transmuted class defined by
Shaw and Buckley (2007). Some special models of the new family are provided.
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
maximum likelihood is used for estimating the model parameters. The flexibility
of the generated family is illustrated by means of two applications to real data sets.
Shaw and Buckley (2007). Some special models of the new family are provided.
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
maximum likelihood is used for estimating the model parameters. The flexibility
of the generated family is illustrated by means of two applications to real data sets.