Goldstein, Martin I.; Hoppe, Fred M. - In: Stochastic Processes and their Applications 5 (1977) 3, pp. 297-305
Let Z(t) be the population at time t of a critical age-dependent branching process. Suppose that the offspring distribution has a generating function of the form f(s) = s + (1 - s)1+[alpha]L(1 - s) where [alpha] [set membership, variant] (0, 1) and L(x) varies slowly as x -- 0+. Then we find, as...