“Informal administration of estates” means the administration of decedents’ estates, testate and intestate, without exercise of continuous supervision by the court. Administrative action by the probate registrar is not action by the court. Informal administration proceedings are, nevertheless, circuit court proceedings, records of which shall be kept in the same manner as they are kept for formal proceedings; all of the duties and powers of registers in probate, including the certification of papers filed in the probate court, apply to informal proceedings in the same manner as they apply to formal proceedings. All provisions of chs. 851 to 879 not inconsistent with this chapter shall apply to the informal administration of estates.