activity
20082014
most citedOn the condensed density of the generalized eigenvalues of pencils of Hankel Gaussian random matrices and applications

11 citations · 29 across the 8 of their papers we have counts for

collaborators

9 papers

math.ST2014

On a Class of Parameters Estimators in Linear Models Dominating the Least Squares one, Based on Compressed Sensing Techniques

Piero Barone, Isabella Lari

The estimation of parameters in a linear model is considered under the hypothesis that the noise, with finite second order statistics, can be represented in a given deterministic b…

math.ST2014

Bivariate one-sample optimal location test for spherical stable densities by Pade' methods

Piero Barone

Complex signal detection in additive noise can be performed by a one-sample bivariate location test. Spherical symmetry is assumed for the noise density as well as closedness with…

math.PR2012

On the universality of the distribution of the generalized eigenvalues of a pencil of Hankel random matrices

Piero Barone

Universality properties of the distribution of the generalized eigenvalues of a pencil of random Hankel matrices, arising in the solution of the exponential interpolation problem o…

math.ST2012★ 3 cited

Kernel density estimation via diffusion and the complex exponentials approximation problem

Piero Barone

A kernel method is proposed to estimate the condensed density of the generalized eigenvalues of pencils of Hankel matrices whose elements have a joint noncentral Gaussian distribut…

math.ST2012

On the condensed density of the zeros of the Cauchy transform of a complex atomic random measure with Gaussian moments

Piero Barone

An atomic random complex measure defined on the unit disk with Normally distributed moments is considered. An approximation to the distribution of the zeros of its Cauchy transform…

math.ST2011★ 2 cited

A diffusion equation for the density of the ratio of two jointly distributed Gaussian variables and the numerical inversion of Laplace transform

Piero Barone

It is shown that the density of the ratio of two random variables with the same variance and joint Gaussian density satisfies a non stationary diffusion equation. Implications of t…