42 citations · 75 across the 10 of their papers we have counts for
4 papers · 1 filter
The classical umbral calculus: Sheffer sequences
E. Di Nardo, H. Niederhausen, D. Senato
Following the approach of Rota and Taylor \cite{SIAM}, we present an innovative theory of Sheffer sequences in which the main properties are encoded by using umbrae. This syntax al…
A new method for fast computing unbiased estimators of cumulants
E. Di Nardo, G. Guarino, D. Senato
We propose new algorithms for generating -statistics, multivariate -statistics, polykays and multivariate polykays. The resulting computational times are very fast compared w…
An instance of umbral methods in representation theory: the parking function module
P. Petrullo, D. Senato
We test the umbral methods introduced by Rota and Taylor within the theory of representation of symmetric group. We define a simple bijection between the set of all parking functio…
Symbolic computation of moments of sampling distributions
E. Di Nardo, G. Guarino, D. Senato
By means of the notion of umbrae indexed by multisets, a general method to express estimators and their products in terms of power sums is derived. A connection between the notion…