| 带有随机控制函数的人口数相依的受控分枝过程 |
| |
| 引用本文： | 马世霞,李晋枝.带有随机控制函数的人口数相依的受控分枝过程[J].南开大学学报,2008,41(2):85-90. |
| |
| 作者姓名： | 马世霞 李晋枝 |
| |
| 作者单位： | [1]河北工业大学理学院,天津300401 [2]中央民族大学理学院,北京100081 |
| |
| 摘 要： | 考虑了带有随机控制函数的人口数相依的受控分枝过程.在对后代分布及控制函数的适当假设下,给出了过程是否以概率1灭绝的判定准则并建立了适当的规范化序列几乎处处收敛的充分性条件.
|
| 关 键 词： | 受控的分枝过程 人口数相依的分枝过程 灭绝概率 几乎处处收敛 controlled branching processes population-size-dependent branching processes extinction probability almost sure convergence |
| 文章编号： | 0465-7942(2008)02-0085-06 |
| 修稿时间： | 2006年3月1日 |
Population-size-dependent Controlled Branching Processes with Random Control Functions |
| |
| Ma Shixia,Li Jinzhi.Population-size-dependent Controlled Branching Processes with Random Control Functions[J].Acta Scientiarum Naturalium University Nankaiensis,2008,41(2):85-90. |
| |
| Authors: | Ma Shixia Li Jinzhi |
| |
| Abstract: | In this paper, popuplation-size-dependent controlled branching processes with random control functions is investigated. Under suitable assumptions on the offspring distribution and control function, a criterion is given to identify whether or not the process admits ultimate extinct with probability one and sufficient conditions on almost sure convergence for the suitably normed sequence are established. |
| |
| Keywords: | controlled branching processes population-size-dependent branching processes extinction probability almost sure convergence |
| 本文献已被 维普 万方数据 等数据库收录！ |
