45 citations
- Università Cattolica del Sacro CuoreIT3 papers
- Polytechnic University of BariIT2 papers
- Arcetri Astrophysical ObservatoryIT1 paper
- Centre National de la Recherche ScientifiqueFR1 paper
- National Interuniversity Consortium for the Physical Sciences of MatterIT1 paper
- Universitario Francisco de AsísUY1 paper
- Université de MontpellierFR1 paper
- University of BolognaIT1 paper
- University of BresciaIT1 paper
- University of CalabriaIT1 paper
- University of FlorenceIT1 paper
- University of LiverpoolGB1 paper
4 papers · 1 filter
On the computation of classical, boolean and free cumulants
E. Di Nardo, I. Oliva
This paper introduces a simple and computationally efficient algorithm for conversion formulae between moments and cumulants. The algorithm provides just one formula for classical,…
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…