摘要
在分枝模型中通过估计临界参数的Berry-Esseen界获得置信区间。在介绍分枝过程、带迁入的分枝过程、随机环境中分枝过程、泊松随机指数分枝过程的Berry-Esseen界的研究进展的基础上,提出了分枝模型中Berry-Esseen界有待解决的问题。
In the branching model,the confidence interval was obtained by estimating the Berry-Esseen bound of the critical parameter.Based on the systematic introduction of the research progress of Berry-Esseen bounds in branching process,branching process with immigration,branching process in random environment,and Poisson randomly indexed branching process,the problems to be solved in Berry-Esseen bounds in branching model were put forward.
作者
曾丽
徐乐群
蔡珊
ZENG Li;XU Lequn;CAI Shan(School of Mathematics and Statistics,Changsha University of Science and Technology,Changsha 410000,China;Hunan Key Laboratory of Engineering Mathematical Modeling and Analysis,Changsha University of Science and Technology,Changsha 410000,China)
出处
《邵阳学院学报(自然科学版)》
2020年第6期31-36,共6页
Journal of Shaoyang University:Natural Science Edition
基金
国家自然科学基金项目(11571052,11731012)
湖南省自然科学基金项目(2018JJ2417)
湖南省工程数学建模与分析重点实验室开放基金项目(2018MMAEZD02)。