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The Marshall–Olkin Transmuted-G Family of Distributions

Author

Listed:
  • Afify Ahmed Z.
  • 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)

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.

Suggested Citation

  • Afify Ahmed Z. & Yousof Haitham M. & Alizadeh Morad & Ghosh Indranil & Ray Samik & Ozel Gamze, 2020. "The Marshall–Olkin Transmuted-G Family of Distributions," Stochastics and Quality Control, De Gruyter, vol. 35(2), pages 79-96, December.
    • Handle: RePEc:bpj:ecqcon:v:35:y:2020:i:2:p:79-96:n:2
    DOI: 10.1515/eqc-2020-0009
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    References listed on IDEAS

    as
    1. Zohdy M. Nofal & Ahmed Z. Afify & Haitham M. Yousof & Gauss M. Cordeiro, 2017. "The generalized transmuted-G family of distributions," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 46(8), pages 4119-4136, April.
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