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Expectations for Nonreversible Markov Chains
Bounds are given for an irreducible Markov chain on the probability that the time average of a functional on the state space exceeds its stationary expectation, without assuming reversibility. The bounds are in terms of the singular values of the discrete generator.
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Published in: | Journal of mathematical analysis and applications 1998-04, Vol.220 (2), p.585-596 |
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Main Author: | |
Format: | Article |
Language: | English |
Subjects: | |
Citations: | Items that this one cites Items that cite this one |
Online Access: | Get full text |
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Summary: | Bounds are given for an irreducible Markov chain on the probability that the time average of a functional on the state space exceeds its stationary expectation, without assuming reversibility. The bounds are in terms of the singular values of the discrete generator. |
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ISSN: | 0022-247X 1096-0813 |
DOI: | 10.1006/jmaa.1997.5850 |