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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2510.03937 |
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| _version_ | 1866918154561650688 |
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| author | Tudor, Dan Andrei |
| author_facet | Tudor, Dan Andrei |
| contents | In this paper, we give an overview of mean drift conditions for the state-space classification of discrete-time Markov Chains and we present a new transience criterion for uniformly bounded Markov Chains with asymptotically zero drift. The criterion does not need a condition on the second-moment drifts and can be applied to certain chains for which other criteria fail. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_03937 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Transience Criterion for Uniformly Bounded Markov Chains with Asymptotically Zero Mean Drift Tudor, Dan Andrei Probability In this paper, we give an overview of mean drift conditions for the state-space classification of discrete-time Markov Chains and we present a new transience criterion for uniformly bounded Markov Chains with asymptotically zero drift. The criterion does not need a condition on the second-moment drifts and can be applied to certain chains for which other criteria fail. |
| title | A Transience Criterion for Uniformly Bounded Markov Chains with Asymptotically Zero Mean Drift |
| topic | Probability |
| url | https://arxiv.org/abs/2510.03937 |