On deterministic approximation for nearly critical branching processes with dependent immigration
Source of Publication
Statistics and Probability Letters
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.
A degenerate limit, Branching process, Dependent immigration, Regularly varying functions
Rahimov, I. and Sharipov, S. O., "On deterministic approximation for nearly critical branching processes with dependent immigration" (2024). All Works. 6313.
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