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math.PR2004
Umbral nature of the Poisson random variables
E. Di Nardo, D. Senato
Extending the rigorous presentation of the classical umbral calculus given by Rota and Taylor in 1994, the so-called partition polynomials are interpreted with the aim to point out…
math.PR2004
An umbral setting for cumulants and factorial moments
E. Di Nardo, D. Senato
We provide an algebraic setting for cumulants and factorial moments through the classical umbral calculus. Main tools are the compositional inverse of the unity umbra, connected wi…