随机环境两性分枝过程的大偏差原理

Large deviation principle of bisexual branching process in random environment

在随机环境分枝过程中大偏差理论的基础上,将大偏差原理扩展到两性分枝过程,主要探讨在矩有限基础上的两性分枝过程Zn的矩和log Zn的大偏差问题,并对大偏差原理给出证明。

Based on the theory of large deviations in the branching process of random environments, the principle of large deviations extended to the bisexual branching process, and the problem of large deviation of log Zn and moment of Zn of bisexual branching process are discussed on the basis of finite moments, and the principle of large deviation is obtained.