An important feature of a Poisson limit theorem in  is the absence of the traditional assumption (A.2). The purpose of this addendum is to explain why assumption (A.2) is not required, and compare the assumptions of the Poisson limit theorem in  with traditional ones. We present details of the argument behind Theorem 3 in .
The author is grateful to the reviewer for a helpful remark that led to simplification of the proof of proposition 1.
"Poisson approximation. Addendum." Probab. Surveys 18 272 - 275, 2021. https://doi.org/10.1214/21-PS2