Staff Members - Benha University
The Generalized Transmuted-G Family of Distributions
Communications in Statistics -- Theory and Methods • 2015
Publication Information
Authors
Zohdy M. Nofal; Ahmed Z. Afifya; 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
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Issue
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Pages
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publication.type
International
Paper Link
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Supplementary Materials
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Abstract
We introduce a new class of continuous distributions called the generalized transmuted-G family which extends the quadratic rank trans-
mutation map pioneered by Shaw and Buckley (2007). We provide six
special models of the new family. 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 estimation of the model
parameters is performed by maximum likelihood. The fiexibility of the
proposed family is illustrated by means of three applications to real data
sets.
mutation map pioneered by Shaw and Buckley (2007). We provide six
special models of the new family. 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 estimation of the model
parameters is performed by maximum likelihood. The fiexibility of the
proposed family is illustrated by means of three applications to real data
sets.