%0 Journal Article
%T 随机环境中两性分枝过程的偏差不等式<br>Deviation Inequalitie for a Supercritical Bisexual Branching Process in a Random En-vironment
%A 高梦娇
%A 李瑞
%A 邓琳
%J Advances in Applied Mathematics
%P 4177-4182
%@ 2324-8009
%D 2023
%I Hans Publishing
%R 10.12677/AAM.2023.1210410
%X 考虑到自然界中种群繁衍法则，引入雌雄配对机制，从而将随机环境中分枝过程推广到随机环境中两性分枝过程。令<img src=\"Edit_2b5d29ae-f26f-4318-a13d-002bb7ad6d76.png\" alt=\"\" />为独立同分布环境<img src=\"Edit_cf08159c-f992-4ce7-bdc2-8878f98dd0c7.png\" alt=\"\" />中的一个上临界两性分枝过程，本文给出<img src=\"Edit_fd2c8c5c-807c-4965-bf5c-de0790146e49.png\" alt=\"\" />在Bernstein条件下的一个偏差不等式。<br />
We consider the law of population reproduction in nature and introduce the male-female pairing mechanism, so as to generalize the branching process in a random environment (BPRE) to the bi-sexual branching process in a random environment (BBPRE). Set <img src=\"Edit_88fb70e1-c6dc-4864-abc4-9cfa44ce3ec2.png\" alt=\"\" /> is a supercritical bi-sexual branching process in a independent and identically distributed (i.i.d.) random environment <img src=\"Edit_340ffa3f-ad67-4924-825a-fb3c885c4380.png\" alt=\"\" /> , and we will give a deviation inequalitie for <img src=\"Edit_19873a64-d0e6-4747-9983-789b5e1a6bb0.png\" alt=\"\" /> under Bernstein condition.
%K 两性分枝过程，随机环境，Bernstein条件，偏差不等式<br>Bisexual Branching Processes
%K Random Environment
%K Bernstein Condition
%K Deviation Inequalitie
%U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=73528