2 citations · 4 across the 5 of their papers we have counts for
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Strong limit theorems for empirical halfspace depth trimmed regions
Andrii Ilienko, Ilya Molchanov, Riccardo Turin
We study empirical variants of the halfspace (Tukey) depth of a probability measure , which are obtained by replacing with the corresponding weighted empirical measure. We p…
Central limit theorem for a birth-growth model with Poisson arrivals and random growth speed
Chinmoy Bhattacharjee, Ilya Molchanov, Riccardo Turin
We consider Gaussian approximation in a variant of the classical Johnson--Mehl birth-growth model with random growth speed. Seeds appear randomly in at random times…
Multivariate Poisson and Poisson process approximations with applications to Bernoulli sums and -statistics
Federico Pianoforte, Riccardo Turin
This article derives quantitative limit theorems for multivariate Poisson and Poisson process approximations. Employing the solution of Stein's equation for Poisson random variable…
Convex bodies generated by sublinear expectations of random vectors
Ilya Molchanov, Riccardo Turin
We show that many well-known transforms in convex geometry (in particular, centroid body, convex floating body, and Ulam floating body) are special instances of a general construct…