Large deviations in a population dynamics with catastrophes

A. Logachov, O. Logachova, A. Yambartsev

Результат исследования: Научные публикации в периодических изданияхстатья

1 Цитирования (Scopus)


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 оригиналаанглийский
Страницы (с-по)29-37
Число страниц9
ЖурналStatistics and Probability Letters
СостояниеОпубликовано - 1 июн 2019