One example that comes to mind is the record in the Torah how Eleazar succeeds his father Aaron whilst he was still alive.
Numbers 20:25 NASB
25 Take Aaron and his son Eleazar, and bring them up to Mount Hor. 26 Then strip Aaron of his garments and put them on his son Eleazar
Other records only say that the incumbent died but no record of when his successor came into office.Been trying to find some Jewish records about how long after the death of the incumbent it took to consecrated into office a new high priest.
What was the interval before a new high priest could be consecrated into office?