A Class of Power Series q -Distributions

Charalambos A. Charalambides ()
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Charalambos A. Charalambides: Department of Mathematics, University of Athens, Panepistemiopolis, GR-15784 Athens, Greece

Mathematics, 2024, vol. 12, issue 5, 1-14

Abstract: A class of power series q -distributions, generated by considering a q -Taylor expansion of a parametric function into powers of the parameter, is discussed. Its q -factorial moments are obtained in terms of q -derivatives of its series (parametric) function. Also, it is shown that the convolution of power series q -distributions is also a power series q -distribution. Furthermore, the q -Poisson (Heine and Euler), q -binomial of the first kind, negative q -binomial of the second kind, and q -logarithmic distributions are shown to be members of this class of distributions and their q -factorial moments are deduced. In addition, the convolution properties of these distributions are examined.

Keywords: Euler distribution; Heine distribution; negative q -binomial distribution; q -binomial distribution; q -factorial moments; q -logarithmic distribution; q -poisson distribution (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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