A large deviations principle for birth-death processes with a linear rate of downward jumps

Birth-death processes form a natural class where ideas and results on large deviations can be tested. In this paper, we derive a large deviation principle under the assumption that the rate of a jump down (death) is growing asymptotically linearly with the population size, while the rate of a jump u...

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Hauptverfasser:	Vvedenskaya, N. D, Logachov, A. V, Suhov, Y. M, Yambartsev, A. A
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics - Probability
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