Abstract
In this chapter plays the key role in Part I. In this chapter, we present necessary and sufficient conditions for convergence in distribution for first-rare-event times and convergence in Skorokhod J-topology for first-rare-event processes for regularly perturbed Markov chains and semi-Markov processes with a finite phase space. This chapter includes four sections.
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Silvestrov, D. (2022). Asymptotics of First-Rare-Event Times for Regularly Perturbed Semi-Markov Processes. In: Perturbed Semi-Markov Type Processes I. Springer, Cham. https://doi.org/10.1007/978-3-030-92403-4_2
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DOI: https://doi.org/10.1007/978-3-030-92403-4_2
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