There are generally two kinds of administration regarding your estate, independent and dependent administration.
In independent administration the executor manages your estate in an informal manner. For instance, they may require no court supervision while they are distributing your estate. This means that independent administration avoids any unnecessary interventions by the probate court.
On the contrary, dependent administration refers to the executor managing your estate in a supervised manner. That means that the probate court may interfere if it considers that supervision is necessary.