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Journal of Probability and Statistics
Volume 2014, Article ID 519276, 5 pages
Research Article

Subgeometric Ergodicity under Random-Time State-Dependent Drift Conditions

School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China

Received 23 December 2013; Accepted 15 July 2014; Published 24 July 2014

Academic Editor: Steve Su

Copyright © 2014 Mokaedi V. Lekgari. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Motivated by possible applications of Lyapunov techniques in the stability of stochastic networks, subgeometric ergodicity of Markov chains is investigated. In a nutshell, in this study we take a look at -ergodic general Markov chains, subgeometrically ergodic at rate , when the random-time Foster-Lyapunov drift conditions on a set of stopping times are satisfied.