李豆豆, 张梅. 带相依移民的临界分枝过程的极限定理和参数估计[J]. 应用概率统计, 2020, 36(4): 331-341. DOI: 10.3969/j.issn.1001-4268.2020.04.001
引用本文: 李豆豆, 张梅. 带相依移民的临界分枝过程的极限定理和参数估计[J]. 应用概率统计, 2020, 36(4): 331-341. DOI: 10.3969/j.issn.1001-4268.2020.04.001
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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. DOI: 10.3969/j.issn.1001-4268.2020.04.001
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. DOI: 10.3969/j.issn.1001-4268.2020.04.001
shu

带相依移民的临界分枝过程的极限定理和参数估计

Limit Theorem and Parameter Estimation for a Critical Branching Process with Mixing Immigration

    摘要
  • 摘要: 我们考虑了一个临界带相依移民的分枝过程,并证明了它的泛函极限定理, 推广了以往文献的结论. 作为应用,我们得到了后代均值估计的中心极限定理.

     

    Abstract: 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.

     

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