On deterministic approximation for nearly critical branching processes with dependent immigration

Author First name, Last name, Institution

I. Rahimov, Zayed University
S. O. Sharipov, V.I.Romanovskiy Institute of Mathematics

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

10.1016/j.spl.2023.110031

ISSN

0167-7152

Publisher

Elsevier BV

Volume

208

Disciplines

Mathematics

Keywords

A degenerate limit, Branching process, Dependent immigration, Regularly varying functions

Scopus ID

85183060472

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