Me. Rev. Stat. tit. 36, § 4116

If, upon the death of a person leaving an estate that may be liable to pay tax under this chapter, a will is not offered for probate or an application for administration is not made within 6 months after the date of death or if the personal representative does not qualify within that period, the Probate Court, upon application by the assessor, may appoint a personal representative. Nothing may prevent the assessor from petitioning for appointment within 6 months after the date of death, if in the opinion of the assessor that action is necessary.