Abstract
In this chapter, we introduce counting processes generated by flows of rare events defined on asymptotically uniformly ergodic semi-Markov processes. We present necessary and sufficient conditions of convergence in distribution for these counting processes. In this chapter includes three sections.
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References
Silvestrov D.S. (2004). Limit Theorems for Randomly Stopped Stochastic Processes. Probability and Its Applications, Springer, London, xvi+398 pp.
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Silvestrov, D. (2022). Flows of Rare Events 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_3
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DOI: https://doi.org/10.1007/978-3-030-92403-4_3
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Publisher Name: Springer, Cham
Print ISBN: 978-3-030-92402-7
Online ISBN: 978-3-030-92403-4
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