8 citations · 15 across the 6 of their papers we have counts for
4 papers · 1 filter
On the rate of Poisson approximation to partial sum processes
Pavel S. Ruzankin, Igor S. Borisov
We investigate approximation of a Bernoulli partial sum process to the accompanying Poisson process in the non-i.i.d. case. The rate of closeness is studied in terms of the minimal…
Exponential inequalities for the distribution tails of canonical U- and V-statistics of -mixing observations
I. S. Borisov, N. Volodko
The Hoeffding-type-inequalities are obtained for the distribution tails of canonical (degenerate) U- and V-statistics of an arbitrary order based on samples from a stationary seque…
A note on exponential inequalities for the distribution tails of canonical von Mises' statistics of dependent observations
I. S. Borisov, N. Volodko
Hoeffding-type exponential inequalities are obtained for the distribution tails of canonical von Mises' statistics of arbitrary order based on samples from a stationary sequence of…
Stochastic integrals and asymptotic analysis of canonical von Mises statistics based on dependent observations
Igor S. Borisov, Alexander A. Bystrov
In the first part of the paper we study stochastic integrals of a nonrandom function with respect to a nonorthogonal Hilbert noise defined on a semiring of subsets of an arbitrary…