GENERALIZED MITTAG-LEFFLER TYPE POISSON DISTRIBUTION
Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 75
DOI: https://doi.org/10.56827/SEAJMMS.2024.2002.32
Author :
P. Dixit (Department of Mathematics, U.I.E.T. Campus, C.S.J.M. University, Kanpur - 208024, Uttar Pradesh, INDIA)
L. Gaurav (Department of Mathematics, U.I.E.T. Campus, C.S.J.M. University, Kanpur - 208024, Uttar Pradesh, INDIA)
S. Porwal (Department of Mathematics, Ram Sahay Government Degree College, Bairi Shivrajpur, Kanpur - 209205, (U.P.), INDIA)
R. Agarwal (Department of Computer Applications, U.I.E.T. Campus, C.S.J.M. University, Kanpur - 208024, Uttar Pradesh, INDIA)
Abstract
The main object of this paper is to introduce generalized Mittag-Leffler type Poisson distribution. We obtain results regarding moments about the origin, Moment generating function, probability generating function and characteristic function for this distribution. It should be worthy to note that the above results reduce to corresponding results of Mittag-Leffler type Poisson distribution and Poisson distribution for specific values of parameters.
Keywords and Phrases
Generalized Mittag-Leffler function, Poisson distribution, Moments, Moment generating function.
A.M.S. subject classification
60E05.
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