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Abstract
The Yule process is a birth process with a constant birth rate. The number of births in time interval (0, t), Y(t), has a negative binomial distribution, which is the same as the distribution of the number of new species of a genus produced during (0, t) in Yule's study of evolution.
The numbers of species produced in a sequence of time intervals, Y(1), …, Y(r), have a chain of negative binomial distributions.
