4 citations · 11 across the 13 of their papers we have counts for
8 papers · 1 filter
High dimensional Bernoulli distributions: algebraic representation and applications
Roberto Fontana, Patrizia Semeraro
The main contribution of this paper is to find a representation of the class of multivariate Bernoulli distributions with the same mean that allows us to fin…
Exchangeable Bernoulli distributions: high dimensional simulation, estimate and testing
Roberto Fontana, Patrizia Semeraro
We explore the class of exchangeable Bernoulli distributions building on their geometrical structure. Exchangeable Bernoulli probability mass functions are points in a convex polyt…
On the aberrations of mixed level Orthogonal Arrays with removed runs
Roberto Fontana, Fabio Rapallo
Given an Orthogonal Array we analyze the aberrations of the sub-fractions which are obtained by the deletion of some of its points. We provide formulae to compute the Generalized W…
Unions of Orthogonal Arrays and their aberrations via Hilbert bases
Roberto Fontana, Fabio Rapallo
We generate all the Orthogonal Arrays (OAs) of a given size n and strength t as the union of a collection of OAs which belong to an inclusion-minimal set of OAs. We derive a formul…
Characterization of multivariate Bernoulli distributions with given margins
Roberto Fontana, Patrizia Semeraro
We express each Fréchet class of multivariate Bernoulli distributions with given margins as the convex hull of a set of densities, which belong to the same Fréchet class. This char…
Aberration in qualitative multilevel designs
Roberto Fontana, Fabio Rapallo, Maria-Piera Rogantin
Generalized Word Length Pattern (GWLP) is an important and widely-used tool for comparing fractional factorial designs. We consider qualitative factors, and we code their levels us…