太原理工大学学报
太原理工大學學報
태원리공대학학보
JOURNAL OF TAIYUAN UNIVERSITY OF TECHNOLOGY
2010年
2期
209-211
,共3页
两性分枝过程%随机环境%控制过程
兩性分枝過程%隨機環境%控製過程
량성분지과정%수궤배경%공제과정
bisexual branching processes%random environments%controlled processes
考虑独立同分布环境下依人口数控制两性分枝过程,其中后代概率分布受一个随机环境过程影响,配对函数依赖人口数,参与繁衍后代的配对单元数又受控制函数约束.讨论了当k→∞时,均值r_(k,θ)趋于极限r_θ>1(k,θ)口是繁衍分布的均值),得出了模型的一些概率性质以及W_n依L~1收敛的必要条件.
攷慮獨立同分佈環境下依人口數控製兩性分枝過程,其中後代概率分佈受一箇隨機環境過程影響,配對函數依賴人口數,參與繁衍後代的配對單元數又受控製函數約束.討論瞭噹k→∞時,均值r_(k,θ)趨于極限r_θ>1(k,θ)口是繁衍分佈的均值),得齣瞭模型的一些概率性質以及W_n依L~1收斂的必要條件.
고필독립동분포배경하의인구수공제량성분지과정,기중후대개솔분포수일개수궤배경과정영향,배대함수의뢰인구수,삼여번연후대적배대단원수우수공제함수약속.토론료당k→∞시,균치r_(k,θ)추우겁한r_θ>1(k,θ)구시번연분포적균치),득출료모형적일사개솔성질이급W_n의L~1수렴적필요조건.
We consider controlled bisexual branching processes with population-size-dependent mating, where the independently identically distributed random environments affect the law of offspring distribution, the mating function depends on population size,and the controlled function constrains the matching units. We investigate the case when r_(k,θ), the means of the offspring, tends to a limit r_θ>1 as k→∞, and obtain some probability properties such as the necessary condition for convergence of W_n in L~1 .
