Staff Members - Benha University
The Kumaraswamy Transmuted-G Family of Distributions: Properties and Applications
JDS • 2016
Publication Information
Authors
Ahmed Z. Afify,
Gauss M. Cordeiro,
Haitham M. Yousof,
Zohdy M. Nofal ,
Ayman Alzaatreh
Keywords
Generating Function, Kumaraswamy-G Family, Maximum Likelihood,
Order Statistic, Probability Weighted Moment, Transmuted Family.
Journal
JDS
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 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.