N.Y. Surr. Ct. Proc. Act § 1204
Except in the counties of Erie and Onondaga the public administrator upon entering upon his duties in every estate the gross assets of which exceed the monetary amount defined as a small estate pursuant to subdivision 1 of section 1301 of this act, shall file a bond in a penal sum to be fixed by the court not less than the value of the personal property and the estimated gross rents for 18 months of the real property of which the decedent died seized or possessed and of the probable amount to be received by reason of any right of action granted to a fiduciary for damages for the wrongful death of the decedent. The public administrator in the counties of Erie and Onondaga shall file a bond in every estate in which he shall be appointed or be entitled to act pursuant to section 1211 of this article after the effective date of this act in a penal sum fixed by the court to be determined by such proof as the court deems proper. The bond must be conditioned that the public administrator or his successor will faithfully discharge the trust reposed in him as such and obey all lawful decrees and orders of the court touching the administration of the estate committed to him. The cost of the bond shall be borne by the estate in each instance.
N.Y. Surr. Ct. Proc. Act Law § 1204