98 citations · 333 across the 35 of their papers we have counts for
41 papers
Two statistical problems for multivariate mixture distributions
Ricardo Fraiman, Leonardo Moreno, Thomas Ransford
We address two important statistical problems: that of estimating mixtures of multivariate normal distributions and mixtures of -distributions based on univariate projections, a…
A Cramér-Wold theorem for mixtures
Ricardo Fraiman, Leonardo Moreno, Thomas Ransford
We show how a Cramér-Wold theorem for a family of multivariate probability distributions can be used to generate a similar theorem for mixtures (convex combinations) of distributio…
Statistical analysis of measures of non-convexity
Alejandro Cholaquidis, Ricardo Fraiman, Leonardo Moreno +1
Several measures of non-convexity (departures from convexity) have been introduced in the literature, both for sets and functions. Some of them are of geometric nature, while other…
A Cramér-Wold theorem for elliptical distributions
Ricardo Fraiman, Leonardo Moreno, Thomas Ransford
According to a well-known theorem of Cramér and Wold, if and are two Borel probability measures on whose projections onto each line in $\mathbb…
A quantitative Heppes Theorem and multivariate Bernoulli distributions
Ricardo Fraiman, Leonardo Moreno, Thomas Ransford
Using some extensions of a theorem of Heppes on finitely supported discrete probability measures, we address the problems of classification and testing based on projections. In par…
Universally consistent estimation of the reach
Alejandro Cholaquidis, Ricardo Fraiman, Leonardo Moreno
The reach of a set , also known as condition number when is a manifold, was introduced by Federer in 1959. The reach is a central concept in geometric me…