Functional limit theorem for critical branching process with weakly dependent immigration

S. O. Sharipov

V. I. Romanovskiy Institute of Mathematcs of the Academy of Sciences of Uzbekistan

Abstract: In this paper we consider a critical branching process with increasing immigration. In the case when immigration process satisfies $\rho$-mixing condition, a functional limit theorem is obtained.

Keywords: branching process, immigration, mixing condition, a functional limit theorem.

UDC: 519.218.23

Received: 20.05.2022
Revised: 20.10.2023

DOI: 10.4213/dm1723