Add to ORKGThe aim of the present work is to provide a supplement to the authors' paper (2018). It is shown that our results on the approximation of distributions of sums of independent summands by the accompanying compound Poisson laws and the estimates of the proximity of sequential convolutions of multidimensional distributions on convex polyhedra may be almost automatically transferred to the infinite-dimensional case.Comment: 7 pages.Zapiski Nauchnykh Seminarov POMI, 2021, v.501, 118-125 (in Russian) arXiv admin note: substantial text overlap with arXiv:1812.0747
For a finite point set $P \subset \mathbb{R}^d$, denote by $\text{diam}(P)$ the ratio of the largest...
AbstractWe study the problem of discrepancy of finite point sets in the unit square with respect to ...
publisher: Elsevier articletitle: Bin sizes in time-inhomogeneous infinite Polya processes journalti...
The aim of the present work is to show that the results obtained earlier on the approximation of dis...
The aim of the present work is to show that the results obtained earlier on the approximation of dis...
The paper concerns the limit shape (under some probability measure) of convex polygonal lines with v...
We overview the results on the topic of compound Poisson approximation to the distribution of a sum ...
AbstractThe classical Poisson summation formula (1.1) and the corresponding distributional formula (...
Let Π_n be the set of convex polygonal lines Γ with vertices on Z^2_+ and fixed endpoints 0 = (0, 0)...
We prove that roughly points chosen uniformly and independently from a centered convex body K in yie...
This dissertation is devoted to three classical models of random geometry: tessellations, convex hul...
Certain families of probability distribution functions maintain their infinite divisibility under re...
AbstractThis paper derives a sharp bound for the probability that a sum of independent symmetric ran...
International audienceLet K be a compact convex body in $Rd$, let $Kn$ be the convex hull of n point...
We prove estimates at infinity of convolutions $f^{n\star}$ and densities of the corresponding compo...
For a finite point set $P \subset \mathbb{R}^d$, denote by $\text{diam}(P)$ the ratio of the largest...
AbstractWe study the problem of discrepancy of finite point sets in the unit square with respect to ...
publisher: Elsevier articletitle: Bin sizes in time-inhomogeneous infinite Polya processes journalti...
The aim of the present work is to show that the results obtained earlier on the approximation of dis...
The aim of the present work is to show that the results obtained earlier on the approximation of dis...
The paper concerns the limit shape (under some probability measure) of convex polygonal lines with v...
We overview the results on the topic of compound Poisson approximation to the distribution of a sum ...
AbstractThe classical Poisson summation formula (1.1) and the corresponding distributional formula (...
Let Π_n be the set of convex polygonal lines Γ with vertices on Z^2_+ and fixed endpoints 0 = (0, 0)...
We prove that roughly points chosen uniformly and independently from a centered convex body K in yie...
This dissertation is devoted to three classical models of random geometry: tessellations, convex hul...
Certain families of probability distribution functions maintain their infinite divisibility under re...
AbstractThis paper derives a sharp bound for the probability that a sum of independent symmetric ran...
International audienceLet K be a compact convex body in $Rd$, let $Kn$ be the convex hull of n point...
We prove estimates at infinity of convolutions $f^{n\star}$ and densities of the corresponding compo...
For a finite point set $P \subset \mathbb{R}^d$, denote by $\text{diam}(P)$ the ratio of the largest...
AbstractWe study the problem of discrepancy of finite point sets in the unit square with respect to ...
publisher: Elsevier articletitle: Bin sizes in time-inhomogeneous infinite Polya processes journalti...