On deterministic approximation for nearly critical branching processes with dependent immigration

被引：0

作者：

Rahimov, I. ^{[1
,2
]}

Sharipov, S. O. ^{[2
]}

机构：

[1] Zayed Univ, Dept Math & Stat, POB 19282, Dubai, U Arab Emirates

[2] VI Romanovskiy Inst Math, 4b Univ Str, Tashkent 100174, Uzbekistan

来源：

STATISTICS & PROBABILITY LETTERS | 2024年 / 208卷

关键词：

Branching process; Dependent immigration; Regularly varying functions; A degenerate limit; FUNCTIONAL LIMIT-THEOREMS; SEQUENCE;

D O I：

10.1016/j.spl.2023.110031

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

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.

引用

页数：5

共 15 条

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