分歧自回归模型广泛用于细胞分裂研究,用以分析遗传和环境因素对细胞分裂过程的影响.针对分歧自回归模型的一种形式即分歧泊松白回归模型,利用概率论中母函数方法推导模型性质,并证明模型的马尔可夫性.
The bifurcating autoregressive model has been used previously to model cell lineage data, to analyze inherited and environmental effects in the binary tree. Considering bifurcating Poisson autoregressive model, some properties are established by applying the tool of probability generating function and Markov property is proved.