Generalized Bell polynomials and the combinatorics of Poisson central moments

zbMath1215.11017MaRDI QIDQ540033

Nicolas Privault

Publication date: 1 June 2011

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/224135

zbMATH Keywords

Bell polynomialsPoisson central moments

Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) Bell and Stirling numbers (11B73)

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On moment sequences and mixed Poisson distributions ⋮ On the real-rootedness of generalized Touchard polynomials ⋮ Differential equations associated with generalized Bell polynomials and their zeros ⋮ Cumulant operators and moments of the Itô and Skorohod integrals ⋮ Degenerate poly-Bell polynomials and numbers ⋮ Unnamed Item ⋮ Invariance of Poisson measures under random transformations ⋮ Combinatorics of Poisson Stochastic Integrals with Random Integrands ⋮ On generalized Bell polynomials ⋮ The Le Cam distance between density estimation, Poisson processes and Gaussian white noise ⋮ The noncentral version of the Whitney numbers: a comprehensive study ⋮ Unnamed Item ⋮ Fully degenerate Bell polynomials associated with degenerate Poisson random variables ⋮ Cumulant operators for Lie-Wiener-Itô-Poisson stochastic integrals ⋮ On asymptotic properties of Bell polynomials and concentration of vertex degree of large random graphs

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