Large Deviations of Telecom Processes
M.A. Lifshits, S.E. Nikitin
TL;DR
This paper investigates the large deviation behavior of Telecom processes, which emerge as limits in critical regimes of infinite source Poisson models, providing insights into rare event probabilities in such stochastic systems.
Contribution
It introduces a detailed analysis of large deviations for Telecom processes, a novel limit in the context of infinite source Poisson models.
Findings
Characterization of large deviation principles for Telecom processes
Identification of critical regimes where these processes emerge
Quantitative estimates of rare event probabilities
Abstract
We study large deviation properties of Telecom processes appearing as limits in a critical regime of infinite source Poisson models.
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Taxonomy
TopicsProbability and Risk Models · Stochastic processes and statistical mechanics · Stochastic processes and financial applications