The Supreme Court may, if a person dies—
(a) intestate; or
(b) leaving a will, but without having appointed an executor; or
(c) leaving a will and having appointed an executor, who—
(i) is not willing and competent to take probate; or
(ii) is resident out of the ACT;
if it considers it necessary or convenient, appoint some person to be the administrator of the estate of the deceased person or of any part of the estate, on giving the security (if any) that the court directs, and may limit the administration as the court considers appropriate.