A branching process (Xn : n > 0) has P(Xo = 1) = 1. Let the total number of individuals in the first n generations of th
Posted: Fri May 20, 2022 12:14 pm
A branching process (Xn : n > 0) has P(Xo = 1) = 1. Let the total number of individuals in the first n generations of the process be Zn, with probability generating function Qn. Prove that, for n > 2, In(s) = s PiQn-1(s)), where P1 is the probability generating function of the family-size distribution. = -1