Large deviations in a population dynamics with catastrophes

A. Logachov; O. Logachova; A. Yambartsev

doi:10.1016/j.spl.2019.01.029

Large deviations in a population dynamics with catastrophes

A. Logachov, O. Logachova, A. Yambartsev

Результат исследования: Научные публикации в периодических изданиях › статья

1 Цитирования (Scopus)

Аннотация

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.

Язык оригинала	английский
Страницы (с-по)	29-37
Число страниц	9
Журнал	Statistics and Probability Letters
Том	149
DOI	https://doi.org/10.1016/j.spl.2019.01.029
Состояние	Опубликовано - 1 июн 2019

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Logachov, A., Logachova, O., & Yambartsev, A. (2019). Large deviations in a population dynamics with catastrophes. Statistics and Probability Letters, 149, 29-37. https://doi.org/10.1016/j.spl.2019.01.029

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abstract = "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.",

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AU - Yambartsev, A.

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N2 - 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.

AB - 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.

KW - Catastrophes

KW - Large deviation principle

KW - Local large deviation principle

KW - Population models

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JO - Statistics and Probability Letters

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Доступ к документу

10.1016/j.spl.2019.01.029

Link to publication in Scopus