birth and dead processe with catastrophes the rate of convergence bounds for the mean
Issue Date:
2009
Publisher:
Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Citation:
Pliska Studia Mathematica Bulgarica, Vol. 19, No 1, (2009), 293p-306p
Abstract:
We consider nonstationary almost absorbing birth and death processes (BDPs) with catastrophes. The bounds of the rate of convergence to the limit regime and the estimates of the limit probabilities are obtained. We also study the bounds for the mean of the process and consider a queuing example.
