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Stats 2018, 1(1), 14-20; https://doi.org/10.3390/stats1010002

On Moments of Gamma—Exponentiated Functional Distribution

1
H. Niewodniczański Institute of Nuclear Physics, Polish Academy of Sciences, Division of Theoretical Physics, ul. Eliasza-Radzikowskiego 152, PL 31-342 Kraków, Poland
2
Faculty of Maritime Studies, University of Rijeka, Studentska 2, HR-51000 Rijeka, Croatia
3
Institute of Applied Mathematics, Óbuda University, Bécsi út 96/b, H-1034 Budapest, Hungary
*
Author to whom correspondence should be addressed.
Received: 24 February 2018 / Revised: 25 March 2018 / Accepted: 27 March 2018 / Published: 30 March 2018
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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. View Full-Text
Keywords: Gamma-exponentiated functional distribution; moments; Lagrange-Bürmann inversion theorem; Lambert W–function; quantile function Gamma-exponentiated functional distribution; moments; Lagrange-Bürmann inversion theorem; Lambert W–function; quantile function
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Górska, K.; Horzela, A.; Pogány, T.K. On Moments of Gamma—Exponentiated Functional Distribution. Stats 2018, 1, 14-20.

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