42 citations · 62 across the 7 of their papers we have counts for
7 papers
Efficient computation of complementary set partitions, with applications to an extension and estimation of generalized cumulants
Elvira Di Nardo, Giuseppe Guarino
This paper develops new combinatorial approaches to analyze and compute special set partitions, called complementary set partitions, which are fundamental in the study of generaliz…
Necklaces and bracelets in R
Elvira Di Nardo, Giuseppe Guarino
This note introduces a code snippet in R aiming to generate necklaces as well as bracelets. Among various uses, necklaces are useful tools to manage traces of products of random ma…
kStatistics: Unbiased Estimates of Joint Cumulant Products from the Multivariate Faà Di Bruno's Formula
E. Di Nardo, G. Guarino
kStatistics is a package in R that serves as a unified framework for estimating univariate and multivariate cumulants as well as products of univariate and multivariate cumulants o…
A new algorithm for computing the multivariate Faà di Bruno's formula
E. Di Nardo, G. Guarino, D. Senato
A new algorithm for computing the multivariate Faà di Bruno's formula is provided. We use a symbolic approach based on the classical umbral calculus that turns the computation of t…
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…
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…