4 papers
Estimates of stability with respect to the number of summands for distributions of successive sums of independent identically distributed vectors
Andrei Yu. Zaitsev
Let be i.i.d.\ -dimensional random vectors with common distribution . Then has distribution (degree is understood in the se…
An improved multivariate version of Kolmogorov's second uniform limit theorem
Friedrich Götze, Andrei Yu. Zaitsev, Dmitry Zaporozhets
The aim of the present work is to show that the results obtained earlier on the approximation of distributions of sums of independent summands by infinitely divisible laws may be t…
Estimates for the closeness of convolutions of probability distributions on convex polyhedra
Friedrich Götze, Andrei Yu. Zaitsev
The aim of the present work is to show that the results obtained earlier on the approximation of distributions of sums of independent summands by the accompanying compound Poisson…
Bound for the maximal probability in the Littlewood-Offord problem
Andrei Yu. Zaitsev
The paper deals with studying a connection of the Littlewood--Offord problem with estimating the concentration functions of some symmetric infinitely divisible distributions. It is…