30 citations · 146 across the 34 of their papers we have counts for
47 papers
Efron type identities for stopping sets and Poisson hulls
Günter Last, Ilya Molchanov
We consider a Poisson process on a general space with intensity measure and a stopping set depending on . Using in particular the spatial Markov property of , we…
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…
Poisson hulls
Günter Last, Ilya Molchanov
We introduce a hull operator on Poisson point processes, the easiest example being the convex hull of the support of a point process in Euclidean space. Assuming that the intensity…
Normal approximation of Kabanov-Skorohod integrals on Poisson spaces
Günter Last, Ilya Molchanov, Matthias Schulte
We consider the normal approximation of Kabanov-Skorohod integrals on a general Poisson space. Our bounds are for the Wasserstein and the Kolmogorov distance and involve only diffe…
Extremal behavior of stationary marked point processes
Bojan Basrak, Ilya Molchanov, Hrvoje Planinić
We consider stationary configurations of points in Euclidean space which are marked by positive random variables called scores. The scores are allowed to depend on the relative pos…
Generalised convexity with respect to families of affine maps
Zakhar Kabluchko, Alexander Marynych, Ilya Molchanov
The standard convex closed hull of a set is defined as the intersection of all images, under the action of a group of rigid motions, of a half-space containing the given set. In th…