Ergodic Theorems for Super-Singularly Perturbed Alternating Regenerative Processes

Dmitrii Silvestrov
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Dmitrii Silvestrov: Stockholm University, Department of Mathematics

Chapter Chapter 9 in Perturbed Semi-Markov Type Processes II, 2022, pp 163-183 from Springer

Abstract: Abstract In this chapter, we present individual ergodic theorems for perturbed alternating regenerative processes modulating by two states super-singularly perturbed semi-Markov processes (shortly referred as super-singularly perturbed alternating regenerative processes). Process super-singularly perturbed alternating regenerative This is the case where one of regime switching probabilities for perturbed modulating semi-Markov process identically equal to zero, while another one is positive but converges to zero, as ε → 0. This chapter includes three sections.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-92399-0_9

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DOI: 10.1007/978-3-030-92399-0_9

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