A CLASS OF POISSON DISTRIBUTIONS BASED UPON A TWO-PARAMETER MITTAG-LEFFLER TYPE FUNCTION
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Tarih
2023
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Yokohama Publ
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, we introduce and investigate a new generalization of the Poisson distribution by using a special function of the Mittag-Leffler type, which has arisen in the study of fractional calculus and fractional differential equations. For this class of Poisson type distributions based upon a two-parameter Mittag-Leffler type function, we derive several potentially useful properties including, for example, expressions for the rth moment and other associated entities.
Açıklama
Anahtar Kelimeler
Hypergeometric Functions, Confluent Hypergeometric Functions, Mittag-Leffler Type Functions, Poisson Distribution, Probability Mass Function, Expected Value And Variance, Moments
Kaynak
Journal of Nonlinear and Convex Analysis
WoS Q Değeri
N/A
Scopus Q Değeri
Q1
Cilt
24
Sayı
2
