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Generalization of the fractional poisson distribution

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Abstract

A generalization of the Poisson distribution based on the generalized Mittag-Leffler function Eα,β(λ) is proposed and the raw moments are calculated algebraically in terms of Bell polynomials. It is demonstrated, that the proposed distribution function contains the standard fractional Poisson distribution as a subset. A possible interpretation of the additional parameter β is suggested.

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  1. GigaHedron, Berliner Ring 80, D - 63303, Dreieich, Germany

    Richard Herrmann

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  1. Richard Herrmann
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Herrmann, R. Generalization of the fractional poisson distribution. FCAA 19, 832–842 (2016). https://doi.org/10.1515/fca-2016-0045

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  • DOI: https://doi.org/10.1515/fca-2016-0045

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