Large deviations of branching process in a random environment

Autor:	Aleksandr V. Shklyaev
Rok vydání:	2021
Předmět:	Applied Mathematics Random environment Discrete Mathematics and Combinatorics Large deviations theory Statistical physics Mathematics Branching process
Zdroj:	Discrete Mathematics and Applications. 31:281-291
ISSN:	1569-3929 0924-9265
Popis:	In this first part of the paper we find the asymptotic formulas for the probabilities of large deviations of the sequence defined by the random difference equation Y n+1=A n Y n + B n , where A 1, A 2, … are independent identically distributed random variables and B n may depend on { ( A k , B k ) , 0 ⩽ k < n } $ \{(A_k,B_k),0\leqslant k \lt n\} $ for any n≥1. In the second part of the paper this results are applied to the large deviations of branching processes in a random environment.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::2c079b20d2449d70a1e67f036d7530d6 https://doi.org/10.1515/dma-2021-0025 Zobrazit plný text záznamu