6 citations · 12 across the 6 of their papers we have counts for
5 papers · 1 filter
On the domain of attraction for the lower tail in Wicksell's corpuscle problem
S. Koetzer, I. Molchanov
We consider the classical Wicksell corpuscle problem with spherical particles in R^n and investigate the shapes of lower tails of distributions of `sphere radii' in R^n and `sphere…
Multivariate risks and depth-trimmed regions
Ignacio Cascos, Ilya Molchanov
We describe a general framework for measuring risks, where the risk measure takes values in an abstract cone. It is shown that this approach naturally includes the classical risk m…
A limit theorem for the maximal interpoint distance of a random sample in the unit ball
Michael Mayer, Ilya Molchanov
We prove a limit theorem for the the maximal interpoint distance (also called the diameter) for a sample of n i.i.d. points in the unit ball of dimension 2 or more. The exact form…
Convex geometry of max-stable distributions
Ilya Molchanov
It is shown that max-stable random vectors in with unit Fréchet marginals are in one to one correspondence with convex sets in called max-zonoids.…
Diffusion-limited aggregation with jumps and flights
Ilya Molchanov
The paper suggests a generalisation of the diffusion-limited aggregation (DLA) based on using a general stochastic process to control particle movements before sticking to a growin…