【摘要】 本文参照直线上隐Markov模型的概念,给出有限树指标隐Markov链的定义.在该定义中,树指标隐Markov链由两个树指标随机过程组成,其中第一个树指标随机过程是树指标Markov链,是不能被直接观测到的隐藏链;第二个树指标随机过程是可被观测的且关于第一个树指标随机过程条件独立,对于树上的任意一个顶点,第二个随机过程此处的取值只信赖于隐藏链中此处的取值.最后,我们给出了树指标隐Markov链的三个等价定义.更多还原

【Abstract】 In this paper,we give the definition of tree indexed hidden Markov chain with finite state space based on the concept of hidden Markov model.In our definition,tree indexed hidden Markov chain consists of two tree indexed random processes.The underlying process is a tree indexed Markov chain and can not be observed,and the second process is conditional independent of the former.For the arbitrary vertex in tree,the second process only dependents on the underlying process.Finally,we propose three equivalent definitions.更多还原