Conn. Gen. Stat. § 50a-115: Appointment of substitute arbitrator.

Where the mandate of an arbitrator terminates under section 50a-113 or 50a-114 or because of his withdrawal from office for any other reason or because of the revocation of his mandate by agreement of the parties or in any other case of termination of his mandate, a substitute arbitrator shall be appointed according to the rules that were applicable to the appointment of the arbitrator being replaced.