We consider a critical branching process with $\psi$-mixing immigration and prove a functional limit theorem, improving the results in previous literatures. As applications, we obtain central limit theorems for an estimator of the offspring mean.
The project was supported by the National Natural Science Foundation of China (Grant No. 11871103).
����:
���; ��÷. ������������ٽ��֦���̵ļ�����Ͳ�������[J]. Ӧ�ø���ͳ��, 2020, 36(4): 331-341.
LI Doudou; ZHANG Mei. Limit Theorem and Parameter Estimation for a Critical Branching Process with Mixing Immigration. CHINESE JOURNAL OF APPLIED PROBABILITY AND STATIST, 2020, 36(4): 331-341.