数学理论与应用 ›› 2017, Vol. 37 ›› Issue (2): 1-10.
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邱玉梅, 胡杨利, 彭雪莲
出版日期:
发布日期:
基金资助:
长沙理工大学研究生创新项目(CX2017SS24);
湖南省高等学校科研基金(批准号:14B010)
Qiu Yumei, Hu Yangli, Peng Xuelian
Online:
Published:
摘要： 本文研究具有上可加受控两性分枝过程的极限性质,探讨受控两性分枝过程中配对单元平均增长率与两性分枝过程中的配对单元平均增长率之间的关系,并以条件均值的上下界作为规范化因子来研究过程的极限性质.
关键词: 受控两性分枝过程, 控制函数, 平均增长率, 极限性质
Abstract: In this paper we investigate the limiting behavior of superadditive controlled bisexual branching processes.The relation of the mean growth rate of mating units between a controlled bisexual branching process and a bisexual branching processes is obtained,and the limiting behaviors of sequences normalized respectively by the upper and lower bounds of the conditional mean value are studied.
Key words: "> Controlled bisexual branching processes, Control function, n Mean growth rate, Limiting behavior
"> Controlled bisexual branching processes,
邱玉梅, 胡杨利, 彭雪莲. 受控两性分枝过程[J]. 数学理论与应用, 2017, 37(2): 1-10.
Qiu Yumei, Hu Yangli, Peng Xuelian. Controlled Bisexual Branching Processes[J]. Mathematical Theory and Applications, 2017, 37(2): 1-10.
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https://mta.csu.edu.cn/CN/Y2017/V37/I2/1
