适应于滤子的随机环境分枝过程个体数的平衡

Balance of the Population Size in Branching Processes with Random Environments Adapted to an Increasing Filtration

给定一个带有一个适应于渐增滤子的随机环境分枝过程,利用条件期望的性质讨论了该随机环境分枝过程的灭绝概率,并给出了其个体数稳定平衡于两个已知数之间的条件。

Given branching process with random environments adapted to an increasing filtration ,this paper discusses the extinction probability of the process and provides the condition of the population size balances between two given values by the characterization of conditional expectation.