Large Deviation Principles for the Processes Admitting Embedded Compound Renewal Processes
Siberian Mathematical Journal(2022)
摘要
We obtain limit theorems in the domain of large and moderate deviations for the processes admitting embedded compound renewal processes. We justify the large and moderate deviation principles for the trajectories of periodic compound renewal processes with delay and find a moderate deviation principle for the trajectories of semi-Markov compound renewal processes.
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关键词
compound renewal process, periodic compound renewal process, semi-Markov compound renewal process, large deviation principle, moderate deviation principle, 519.2
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