Branching Processes as Models of Progenitor Cell Populations and Estimation of the Offspring Distributions
祖细胞群体的分枝过程模型与后代分布估计
We consider two new models of reducible age-dependent branching processes with emigration in conjunction with estimation problems arising in cell biology. Methods of statistical inference are developed using the relevant embedded discrete branching structure. Based on observations of the branching process with emigration, estimators of the offspring probabilities are proposed for the hidden unobservable process without emigration, which is of prime interest to investigators.…