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A note on a variation of Doeblin's condition for uniform ergodicity of Markov chains

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Summary

We introduce a simple variation of Doeblin's condition, Condition D*, that assures the uniform ergodicity of a Markov chain. It is also shown that for non-homogeneous chains our conditions are equivalent to Dobrushin's weak ergodic coefficient.

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Authors and Affiliations

  1. Universidade de Brasilia, Brasilia-DF, Brazil

    C. C. Y. Dorea

  2. Universidade Federal do Rio Grande do Norte, Natal-RN, Brazil

    A. G. C. Pereira

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  1. C. C. Y. Dorea
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  2. A. G. C. Pereira
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Dorea, C., Pereira, A. A note on a variation of Doeblin's condition for uniform ergodicity of Markov chains. Acta Math Hung 110, 287–292 (2006). https://doi.org/10.1007/s10474-006-0023-y

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  • DOI: https://doi.org/10.1007/s10474-006-0023-y

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