Large deviations in a population dynamics with catastrophes

Standard

Large deviations in a population dynamics with catastrophes. / Logachov, A.; Logachova, O.; Yambartsev, A.

In: Statistics and Probability Letters, Vol. 149, 01.06.2019, p. 29-37.

Research output: Contribution to journal › Article › peer-review

Harvard

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

APA

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

Vancouver

Logachov A, Logachova O, Yambartsev A. Large deviations in a population dynamics with catastrophes. Statistics and Probability Letters. 2019 Jun 1;149:29-37. doi: 10.1016/j.spl.2019.01.029

Author

Logachov, A. ; Logachova, O. ; Yambartsev, A. / Large deviations in a population dynamics with catastrophes. In: Statistics and Probability Letters. 2019 ; Vol. 149. pp. 29-37.

BibTeX

@article{0cf7fcc9221c4ff39fd0221720443799,

title = "Large deviations in a population dynamics with catastrophes",

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.",

keywords = "Catastrophes, Large deviation principle, Local large deviation principle, Population models",

author = "A. Logachov and O. Logachova and A. Yambartsev",

note = "Publisher Copyright: {\textcopyright} 2019 Elsevier B.V.",

year = "2019",

month = jun,

day = "1",

doi = "10.1016/j.spl.2019.01.029",

language = "English",

volume = "149",

pages = "29--37",

journal = "Statistics and Probability Letters",

issn = "0167-7152",

publisher = "Elsevier Science B.V.",

}

RIS

TY - JOUR

T1 - Large deviations in a population dynamics with catastrophes

AU - Logachov, A.

AU - Logachova, O.

AU - Yambartsev, A.

PY - 2019/6/1

Y1 - 2019/6/1

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

UR - http://www.scopus.com/inward/record.url?scp=85060904370&partnerID=8YFLogxK

U2 - 10.1016/j.spl.2019.01.029

DO - 10.1016/j.spl.2019.01.029

M3 - Article

AN - SCOPUS:85060904370

VL - 149

SP - 29

EP - 37

JO - Statistics and Probability Letters

JF - Statistics and Probability Letters

SN - 0167-7152

ER -

ID: 18487891