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On the Convergence Rate of Quasi Lumpable Markov Chains

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Formal Methods and Stochastic Models for Performance Evaluation (EPEW 2006)

Part of the book series: Lecture Notes in Computer Science ((LNPSE,volume 4054))

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Abstract

Our main result is a new bound on the rate at which the agg- regated state distribution approaches its limit in quasi-lumpable Markov chains. We also demonstrate that in certain cases this can lead to a significantly accelerated way of estimating the measure of subsets in Markov chains with very large state space.

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Faragó, A. (2006). On the Convergence Rate of Quasi Lumpable Markov Chains. In: Horváth, A., Telek, M. (eds) Formal Methods and Stochastic Models for Performance Evaluation. EPEW 2006. Lecture Notes in Computer Science, vol 4054. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11777830_10

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  • DOI: https://doi.org/10.1007/11777830_10

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-35362-1

  • Online ISBN: 978-3-540-35365-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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