2 citations · 2 across the 3 of their papers we have counts for
6 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 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 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.…