Central limit theorem for supercritical Crump-Mode-Jagers processes counted with non-individual random characteristics

Gabriel Berzunza Ojeda, Harlan Connor

Consider a supercritical Crump-Mode-Jagers process $({\mathcal{Z}}_t^{\ddot{I}}†{)}_{t\ge 0}$ counted with a random characteristic $\ddot{I}†$ that depends on an individual's life and their descen…