Probabilistic study of the speed of approach to equilibrium for an inelastic Kac model (2008)
Bassetti, Federico, Ladelli, Lucia, Regazzini, Eugenio
This paper deals with a one--dimensional model for granular materials, which boils down to an inelastic version of the Kac kinetic equation, with inelasticity parameter $p>0$. In particular, the...
Means of a Dirichlet process and multiple hypergeometric functions (2004)
Lijoi, Antonio, Regazzini, Eugenio
The Lauricella theory of multiple hypergeometric functions is used to shed some light on certain distributional properties of the mean of a Dirichlet process. This approach leads to several results,...
Means of a Dirichlet process and multiple hypergeometric functions (2004)
Lijoi, Antonio, Regazzini, Eugenio
The Lauricella theory of multiple hypergeometric functions is used to shed some light on certain distributional properties of the mean of a Dirichlet process. This approach leads to several results,...
Distributional results for means of normalized random measures with independent increments (2003)
Regazzini, Eugenio, Lijoi, Antonio, Prünster, Igor
We consider the problem of determining the distribution of means of random probability measures which are obtained by normalizing increasing additive processes. A solution is found by resorting to a...
Theory and numerical analysis for exact distributions of functionals of a Dirichlet process (2002)
Regazzini, Eugenio, Guglielmi, Alessandra, Di Nunno, Giulia
The distribution of a mean or, more generally, of a vector of means of a Dirichlet process is considered. Some characterizing aspects of this paper are: (i) a review of a few basic results, providing...
De Finetti's contribution to probability and statistics (1996)
Cifarelli, Donato Michele, Regazzini, Eugenio
This paper summarizes the scientific activity of de Finetti in probability and statistics. It falls into three sections: Section 1 includes an essential biography of de Finetti and a survey of the...
On the asymptotic distribution of a general measure of monotone dependence (1996)
Cifarelli, Donato Michele, Conti, Pier Luigi, Regazzini, Eugenio
In this paper the asymptotic normality of a class of statistics, including Gini's index of cograduation and Spearman's rank correlation coefficient, is proved. The asymptotic normality is stated...