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On Moments of Gamma—Exponentiated Functional Distribution

Author

Listed:
  • Katarzyna Górska

    (H. Niewodniczański Institute of Nuclear Physics, Polish Academy of Sciences, Division of Theoretical Physics, ul. Eliasza-Radzikowskiego 152, PL 31-342 Kraków, Poland)

  • Andrzej Horzela

    (Faculty of Maritime Studies, University of Rijeka, Studentska 2, HR-51000 Rijeka, Croatia)

  • Tibor K. Pogány

    (Institute of Applied Mathematics, Óbuda University, Bécsi út 96/b, H-1034 Budapest, Hungary)

Abstract

In this note we discuss the development of a new Gamma exponentiated functional GE ( α , h ) distribution, using the Gamma baseline distribution generating method by Zografos and Balakrishnan. The raw moments of the Gamma exponentiated functional GE ( α , h ) distribution are derived. The related probability distribution class is characterized in terms of Lambert W -function.

Suggested Citation

  • Katarzyna Górska & Andrzej Horzela & Tibor K. Pogány, 2018. "On Moments of Gamma—Exponentiated Functional Distribution," Stats, MDPI, vol. 1(1), pages 1-7, March.
    • Handle: RePEc:gam:jstats:v:1:y:2018:i:1:p:2-20:d:138891
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    References listed on IDEAS

    as
    1. S. Rezaei & A. K. Marvasty & S. Nadarajah & M. Alizadeh, 2017. "A new exponentiated class of distributions: Properties and applications," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 46(12), pages 6054-6073, June.
    2. Gauss Cordeiro & Saralees Nadarajah & Edwin Ortega, 2012. "The Kumaraswamy Gumbel distribution," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 21(2), pages 139-168, June.
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