On deterministic approximation for nearly critical branching processes with dependent immigration
Document Type
Article
Source of Publication
Statistics and Probability Letters
Publication Date
5-1-2024
Abstract
In this paper, we investigate the asymptotic behavior of a triangular array of branching processes with non-stationary immigration. In the nearly critical case, we prove weak convergence of properly normalized and scaled branching processes with immigration to a deterministic function when the immigration process is generated by dependent random variables.
DOI Link
ISSN
Publisher
Elsevier BV
Volume
208
Disciplines
Mathematics
Keywords
A degenerate limit, Branching process, Dependent immigration, Regularly varying functions
Scopus ID
Recommended Citation
Rahimov, I. and Sharipov, S. O., "On deterministic approximation for nearly critical branching processes with dependent immigration" (2024). All Works. 6313.
https://zuscholars.zu.ac.ae/works/6313
Indexed in Scopus
yes
Open Access
no
