A note on variance bounding for continuous time Markov Chains |
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Authors: | Fabrizio Leisen Cecilia Prosdocimi |
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Institution: | a Universidad Carlos III de Madrid, Spainb DIMAD, University of Florence, Italy |
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Abstract: | In this paper the notion of variance bounding introduced by Roberts and Rosenthal (2008) is extended to continuous time Markov Chains. Moreover, it is proven that, as in the discrete time case, the notion of variance bounding for reversible Markov Chains is equivalent to the existence of a central limit theorem. A connection with the continuous time Peskun ordering, introduced by Leisen and Mira (2008), concludes the paper. |
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Keywords: | Variance bounding Central limit theorems Peskun ordering |
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