@article{e8c8acc13ae74d0188eeda4a62349b12,
title = "Large Deviation Principles for the Processes Admitting Embedded Compound Renewal Processes",
abstract = "We obtain limit theorems in the domain of large and moderate deviationsfor the processes admitting embedded compound renewal processes.We justify the large and moderate deviation principlesfor the trajectories of periodic compound renewal processes with delayand find a moderate deviation principlefor the trajectories of semi-Markov compound renewal processes.",
keywords = "519.2, compound renewal process, large deviation principle, moderate deviation principle, periodic compound renewal process, semi-Markov compound renewal process",
author = "Logachov, {A. V.} and Mogulskii, {A. A.}",
note = "Funding Information: The work is supported by the Mathematical Center in Akademgorodok under Agreement 075–15–2019–1675 with the Ministry of Science and Higher Education of the Russian Federation. Publisher Copyright: {\textcopyright} 2022, Pleiades Publishing, Ltd.",
year = "2022",
month = jan,
doi = "10.1134/S0037446622010104",
language = "English",
volume = "63",
pages = "119--137",
journal = "Siberian Mathematical Journal",
issn = "0037-4466",
publisher = "MAIK NAUKA/INTERPERIODICA/SPRINGER",
number = "1",
}