LI Doudou, ZHANG Mei, . Limit Theorem and Parameter Estimation for a Critical Branching Process with Mixing Immigration[J]. Chinese Journal of Applied Probability and Statistics, 2020, 36(4): 331-341.
Citation:
LI Doudou, ZHANG Mei, . Limit Theorem and Parameter Estimation for a Critical Branching Process with Mixing Immigration[J]. Chinese Journal of Applied Probability and Statistics, 2020, 36(4): 331-341.
LI Doudou, ZHANG Mei, . Limit Theorem and Parameter Estimation for a Critical Branching Process with Mixing Immigration[J]. Chinese Journal of Applied Probability and Statistics, 2020, 36(4): 331-341.
Citation:
LI Doudou, ZHANG Mei, . Limit Theorem and Parameter Estimation for a Critical Branching Process with Mixing Immigration[J]. Chinese Journal of Applied Probability and Statistics, 2020, 36(4): 331-341.
Limit Theorem and Parameter Estimation for a Critical Branching Process with Mixing Immigration
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.