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MULTI-TYPE SUBCRITICAL BRANCHING PROCESSES IN A RANDOM ENVIRONMENT. / Vatutin, Vladimir; Wachtel, Vitali.

In: Advances in Applied Probability, Vol. 50, No. A, 01.12.2018, p. 281-289.

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

Harvard

Vatutin, V & Wachtel, V 2018, 'MULTI-TYPE SUBCRITICAL BRANCHING PROCESSES IN A RANDOM ENVIRONMENT', Advances in Applied Probability, vol. 50, no. A, pp. 281-289. https://doi.org/10.1017/apr.2018.86

APA

Vatutin, V., & Wachtel, V. (2018). MULTI-TYPE SUBCRITICAL BRANCHING PROCESSES IN A RANDOM ENVIRONMENT. Advances in Applied Probability, 50(A), 281-289. https://doi.org/10.1017/apr.2018.86

Vancouver

Vatutin V, Wachtel V. MULTI-TYPE SUBCRITICAL BRANCHING PROCESSES IN A RANDOM ENVIRONMENT. Advances in Applied Probability. 2018 Dec 1;50(A):281-289. doi: 10.1017/apr.2018.86

Author

Vatutin, Vladimir ; Wachtel, Vitali. / MULTI-TYPE SUBCRITICAL BRANCHING PROCESSES IN A RANDOM ENVIRONMENT. In: Advances in Applied Probability. 2018 ; Vol. 50, No. A. pp. 281-289.

BibTeX

@article{5528b1b84209418f97980597499b1879,
title = "MULTI-TYPE SUBCRITICAL BRANCHING PROCESSES IN A RANDOM ENVIRONMENT",
abstract = "We study the asymptotic behavior of the survival probability of a multi-type branching process in a random environment. In the one-dimensional situation, the class of processes considered corresponds to the strongly subcritical case. We also prove a conditional limit theorem describing the distribution of the number of particles in the process given its survival for a long time.",
keywords = "Branching process, random environment, survival probability, conditional limit theorem, LIMIT-THEOREMS, PRODUCTS",
author = "Vladimir Vatutin and Vitali Wachtel",
year = "2018",
month = dec,
day = "1",
doi = "10.1017/apr.2018.86",
language = "English",
volume = "50",
pages = "281--289",
journal = "Advances in Applied Probability",
issn = "0001-8678",
publisher = "Applied Probability Trust",
number = "A",

}

RIS

TY - JOUR

T1 - MULTI-TYPE SUBCRITICAL BRANCHING PROCESSES IN A RANDOM ENVIRONMENT

AU - Vatutin, Vladimir

AU - Wachtel, Vitali

PY - 2018/12/1

Y1 - 2018/12/1

N2 - We study the asymptotic behavior of the survival probability of a multi-type branching process in a random environment. In the one-dimensional situation, the class of processes considered corresponds to the strongly subcritical case. We also prove a conditional limit theorem describing the distribution of the number of particles in the process given its survival for a long time.

AB - We study the asymptotic behavior of the survival probability of a multi-type branching process in a random environment. In the one-dimensional situation, the class of processes considered corresponds to the strongly subcritical case. We also prove a conditional limit theorem describing the distribution of the number of particles in the process given its survival for a long time.

KW - Branching process

KW - random environment

KW - survival probability

KW - conditional limit theorem

KW - LIMIT-THEOREMS

KW - PRODUCTS

UR - http://www.scopus.com/inward/record.url?scp=85061009119&partnerID=8YFLogxK

U2 - 10.1017/apr.2018.86

DO - 10.1017/apr.2018.86

M3 - Article

VL - 50

SP - 281

EP - 289

JO - Advances in Applied Probability

JF - Advances in Applied Probability

SN - 0001-8678

IS - A

ER -

ID: 18631978