2 citations · 5 across the 14 of their papers we have counts for
15 papers
On Lorden's Inequality and Renewal-Type Processes with Dependent Inter-renewal Times
El'mira Yu. Kalimulina, Galina A. Zverkina
We consider renewal-type processes whose positive inter-renewal times may be dependent, non-identically distributed, and may have mixed distributions. We introduce a generalised in…
On some quasi-regenerative reliability system
Galina A. Zverkina
The paper investigates the convergence of the distribution of some non-regenerative reliability system with a warm reserve.
About quasi-renewal processes and quasi-regenerative processes
Galina A. Zverkina
We discuss the concepts of quasi-renewal and quasi-regenerative processes. We also propose a method for obtaining the upper bounds for the convergence rate of the distribution of a…
On an estimate of the rate of convergence for regenerative processes in queuing theory and related problems
Galina Zverkina, Mais Farkhadov
In queuing theory and related problems, it is very important to know the numerical characteristics of an investigated system - both in stationary and non-stationary modes. In some…
On coupling epoch for renewal times
Galina A. Zverkina
The ability to estimate the rate of convergence for the distributions of regenerative processes is in great demand. These processes are often encountered in queuing theory and in r…
Lorden's inequality and the polynomial rate of convergence of some extended Erlang-Sevastyanov queuing system
Galina Zverkina
It is more important to estimate the rate of convergence to a stationary distribution rather than only to prove the existence one in many applied problems of reliability and queuin…
About ergodicity and polynomial convergence rate of Generalized Markov modulated Poisson processes
Galina Zverkina
Generalization of the Lorden's inequality is an excellent tool for obtaining strong upper bounds for the convergence rate for various complicated stochastic models. This paper demo…
On some generalization of Lorden's inequality for renewal processes
Elmira Yu. Kalimulina, Galina A. Zverkina
In queueing theory, Lorden's inequality can be used for bounds estimation of the moments of backward and forward renewal times. Two random variables called backwards renewal time a…
On exponential convergence rate of distribution for some non-regenerative reliability system
Galina Zverkina
The exponential upper bounds for the convergence rate of the distribution of restorable element with partially energized standby redundancy are founded, in the case when all workin…
Lorden's inequality and coupling method for backward renewal process
G. A. Zverkina
We give a scheme of using the coupling method to obtain strong bounds for the convergence rate of the distribution of the backward renewal process in the total variation distance.…
Stationary coupling method for renewal process in continuous time (application to strong bounds for the convergence rate of the distribution of the regenerative process)
Galina Zverkina
We propose a new modification of the coupling method for renewal process in continuous time. We call this modification "the stationary coupling method", and construct it primarily…
On strong bounds of rate of convergence for regenerative processes
Galina A. Zverkina
We give strong bounds for the rate of convergence of the regenerative process distribution to the stationary distribution in the total variation metric. These bounds are obtained b…
On Polynomial Bounds of Convergence for the Availability Factor
Alexander Veretennikov, Galina Zverkina
A computable estimate of the readiness coefficient for a standard binary-state system is established in the case where both working and repair time distributions possess heavy tail…
On some limit theorems following from Smith's Theorem
Galina A. Zverkina
We give a generalization of the ergodic theorem for semi-Markov linear-type processes. This generalization is proved for the case when a common support of distributions defining th…
About one generalisation of the Leibniz theorem
Galina A. Zverkina
The well-known Leibniz theorem (Leibniz Criterion or alternating series test) of convergence of alternating series is generalized for the case when the absolute value of terms of s…