The Marshall–Olkin Transmuted-G Family of Distributions

Afify Ahmed Z. (), Yousof Haitham M. (), Alizadeh Morad (), Ghosh Indranil (), Ray Samik () and Ozel Gamze ()
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Afify Ahmed Z.: Department of Statistics, Mathematics and Insurance, Benha University, Benha, Egypt
Yousof Haitham M.: Department of Statistics, Mathematics and Insurance, Benha University, Benha, Egypt
Alizadeh Morad: Department of Statistics, Faculty of Sciences, Persian Gulf University, Bushehr75169, Iran
Ghosh Indranil: Department of Mathematics and Statistics, University of North Carolina Wilmington, Wilmington, USA
Ray Samik: Department of Economics, Serampore College, Serampore, West Bengal, India
Ozel Gamze: Department of Statistics, Hacettepe University, Ankara, Turkey

Stochastics and Quality Control, 2020, vol. 35, issue 2, 79-96

Abstract: We introduce a new family of univariate continuous distributions called the Marshall–Olkin transmuted-G family which extends the transmuted-G family pioneered by Shaw and Buckley (2007). Special models for the new family are provided. Some of its mathematical properties including quantile measure, 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 flexibility of the proposed family is illustrated by means of two applications to real data sets.

Keywords: Entropy; Generating Function; Maximum Likelihood; Order Statistic; Transmuted-G Family (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1515/eqc-2020-0009

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