25 citations · 26 across the 5 of their papers we have counts for
9 papers · 1 filter
Bounds for the accuracy of invalid normal approximation
Alexandra Dorofeeva, Victor Korolev, Alexander Zeifman
In applied probability, the normal approximation is often used for the distribution of data with assumed additive structure. This tradition is based on the central limit theorem fo…
Bounds for convergence rate in laws of large numbers for mixed Poisson random sums
Victor Korolev, Alexander Zeifman
In the paper, upper bounds for the rate of convergence in laws of large numbers for mixed Poisson random sums are constructed. As a measure of the distance between the limit and pr…
Multivariate scale-mixed stable distributions and related limit theorems
Victor Korolev, Alexander Zeifman
In the paper, multivariate probability distributions are considered that are representable as scale mixtures of multivariate elliptically contoured stable distributions. It is demo…
Two approaches to the construction of perturbation bounds for continuous-time Markov chains
Alexander Zeifman, Victor Korolev, Yacov Satin
The paper is largely of a review nature. It considers two main methods used to study stability and obtain appropriate quantitative estimates of perturbations of (inhomogeneous) Mar…
On the Rate of Convergence for a Characteristic of Multidimensional Birth-Death Process
A. I. Zeifman, Y. A. Satin, K. M. Kiseleva +1
We consider a multidimensional inhomogeneous birth-death process (BDP) and obtain bounds on the rate of convergence for the corresponding one-dimensional processes.
On limiting characteristics for a non-stationary two-processor heterogeneous system
A. Zeifman, Y. Satin, K. Kiseleva +2
In this paper we study a non-stationary Markovian queueing model of a two-processor heterogeneous system with time-varying arrival and service rates. We obtain the bounds on the ra…