单生过程的一些基本理论
Some Basic Theory of Single Birth Processes
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摘要: 本文作为文章\ncite1的补充,综述了单生过程的一些基本理论, 包括单生过程一些数字特征的概率意义,积分型泛函的分布和矩, 停留时和首达时以及末离时的分布等等.Abstract: In this summary report, we introduce some basic theory of single birth processes as the supplement of \ncite1, including the probabilistic meaning of some numerical characteristics, the distributions and moments of the integral-type functional of single birth processes, as well as the distributions of the staying times, the first hitting time and the last exit times etc.