32 citations · 109 across the 14 of their papers we have counts for
15 papers
A new bound in the Littlewood--Offord problem
Friedrich Götze, 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.
Convergence to infinite-dimensional compound Poisson distributions on convex polyhedra
Friedrich Götze, Andrei Yu. Zaitsev
The 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 summa…
On alternative approximating distributions in the multivariate version of Kolmogorov's second uniform limit theorem
Friedrich Götze, Andrei Yu. Zaitsev
The aim of the present work is to show that recent results of the authors on the approximation of distributions of sums of independent summands by the infinitely divisible laws on…
Moderate deviations for the -norm of kernel density estimators
Andrei Yu. Zaitsev
The rate of normal approximation for the integral norm of kernel density estimators is investigated in the case of densities with power-type singularities. The quantities from the…
Rare events and Poisson point processes
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 terms by the accompanying compound Poisson law…
New applications of Arak's inequalities to the Littlewood-Offord problem
Friedrich Götze, Andrei Yu. Zaitsev
Let be independent identically distributed random variables. In this paper we study the behavior of concentration functions of weighted sums $\sum_{k=1}^{n}X_ka_…