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RSMAMS SEAJMAMS South East Asian Journal of Mathematics and Mathematical Sciences
Home Volume 20, Issue 2 Article
Research Article

GENERALIZED MITTAG-LEFFLER TYPE POISSON DISTRIBUTION

P
P. Dixit Department of Mathematics, U.I.E.T. Campus, C.S.J.M. University, Kanpur - 208024, Uttar Pradesh, INDIA
L
L. Gaurav Department of Mathematics, U.I.E.T. Campus, C.S.J.M. University, Kanpur - 208024, Uttar Pradesh, INDIA
S
S. Porwal Department of Mathematics, Ram Sahay Government Degree College, Bairi Shivrajpur, Kanpur - 209205, (U.P.), INDIA
R
R. Agarwal Department of Computer Applications, U.I.E.T. Campus, C.S.J.M. University, Kanpur - 208024, Uttar Pradesh, INDIA
Volume 20, Issue 2 Pages 453-462 August 30, 2024 174 downloads
Article overview

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 functionPoisson distributionMomentsMoment generating function.

AMS Subject Classification

60E05.

Reference information

How to Cite

P. Dixit, L. Gaurav, S. Porwal, R. Agarwal (2024). GENERALIZED MITTAG-LEFFLER TYPE POISSON DISTRIBUTION. South East Asian Journal of Mathematics and Mathematical Sciences, 20(2), 453-462.
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