59 citations · 168 across the 13 of their papers we have counts for
10 papers · 1 filter
Uniform rates of the Glivenko-Cantelli convergence and their use in approximating Bayesian inferences
Emanuele Dolera, Eugenio Regazzini
This paper deals with the problem of quantifying the approximation a probability measure by means of an empirical (in a wide sense) random probability measure, depending on the fir…
Characterization of weak convergence of probability-valued solutions of general one-dimensional kinetic equations
Eleonora Perversi, Eugenio Regazzini
For a general inelastic Kac-like equation recently proposed, this paper studies the long-time behaviour of its probability-valued solution. In particular, the paper provides necess…
Probabilistic View of Explosion in an Inelastic Kac Model
Andrea Bonomi, Eleonora Perversi, Eugenio Regazzini
Let be the family of probability measures corresponding to the solution of the inelastic Kac model introduced in Pulvirenti and Toscani [\textit{J. Stat. Ph…
Central Limit Theorem with Exchangeable Summands and Mixtures of Stable Laws as Limits
Sandra Fortini, Lucia Ladelli, Eugenio Regazzini
The problem of convergence in law of normed sums of exchangeable random variables is examined. First, the problem is studied w.r.t. arrays of exchangeable random variables, and the…
Complete characterization of convergence to equilibrium for an inelastic Kac model
Ester Gabetta, Eugenio Regazzini
Pulvirenti and Toscani introduced an equation which extends the Kac caricature of a Maxwellian gas to inelastic particles. We show that the probability distribution, solution of th…
Probabilistic representation for the solution of the homogeneous Boltzmann equation for Maxwellian molecules
Emanuele Dolera, Eugenio Regazzini
Consider the homogeneous Boltzmann equation for Maxwellian molecules. We provide a new representation for its solution in the form of expectation of a random probability measure M.…