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Generalization of the fractional Poisson distribution
Richard Herrmann · 2015-03-10 · via math.ST updates on arXiv.org

A generalization of the Poisson distribution based on the generalized Mittag-Leffler function $E_{α, β}(λ)$ 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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