| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1154701 | Statistics & Probability Letters | 2014 | 7 Pages |
Abstract
We suggest an approach to obtaining general estimates of stability in terms of special “weighted” norms related to total variation. Two important classes of continuous-time Markov chains are considered for which it is possible to obtain exact convergence rate estimates (and hence, guarantee exact stability estimates): birth–death–catastrophes processes, and queueing models with batch arrivals and group services.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Statistics and Probability
Authors
A.I. Zeifman, V.Yu. Korolev,