On deterministic approximation for nearly critical branching processes with dependent immigration

I. Rahimov and S.O. Sharipov

Statistics & Probability Letters, 2024, vol. 208, issue C

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.

Keywords: Branching process; Dependent immigration; Regularly varying functions; A degenerate limit (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1016/j.spl.2023.110031

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