On Moments of Gamma—Exponentiated Functional Distribution

Katarzyna Górska, Andrzej Horzela and Tibor K. Pogány
Additional contact information
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

Stats, 2018, vol. 1, issue 1, 1-7

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.

Keywords: Gamma-exponentiated functional distribution; moments; Lagrange-Bürmann inversion theorem; Lambert W –function; quantile function (search for similar items in EconPapers)
JEL-codes: C1 C10 C11 C14 C15 C16 (search for similar items in EconPapers)
Date: 2018
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2571-905X/1/1/2/pdf (application/pdf)
https://www.mdpi.com/2571-905X/1/1/2/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jstats:v:1:y:2018:i:1:p:2-20:d:138891

Access Statistics for this article

Stats is currently edited by Mrs. Minnie Li

More articles in Stats from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().