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Error bounds for occupation measure of singularly perturbed Markov chains including transient states - MaRDI portal

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Error bounds for occupation measure of singularly perturbed Markov chains including transient states (Q2711567)

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scientific article
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English
Error bounds for occupation measure of singularly perturbed Markov chains including transient states
scientific article

    Statements

    7 November 2001
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    complex system
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    nonstationary processes
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    Markov chain
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    transient state
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    Error bounds for occupation measure of singularly perturbed Markov chains including transient states (English)
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    Focusing on nonstationary processes with the inclusion of transient states, asymptotic error bounds of a sequence of suitably scaled occupation measures are derived. The main tools used include martingales and differential equations. The results are found to be useful for analyzing structural properties of the underlying Markov chains and for designing nearly optimal and hierarchical controls of large-scale and complex systems.
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