Large deviations in a population dynamics with catastrophes
| Autor: | Logachov, A., Logachova, O., Yambartsev, A. |
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| Rok vydání: | 2019 |
| Předmět: | |
| Zdroj: | Statistics & Probability Letters, v. 149, p. 29-37, 2019 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1016/j.spl.2019.01.029 |
| Popis: | The large deviation principle on phase space is proved for a class of Markov processes known as random population dynamics with catastrophes. In the paper we study the process which corresponds to the random population dynamics with linear growth and uniform catastrophes, where an eliminating portion of the population is chosen uniformly. The large deviation result provides an optimal trajectory of large fluctuation: it shows how the large fluctuations occur for this class of processes. Comment: 1 figure |
| Databáze: | arXiv |
| Externí odkaz: |
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