An important feature of a Poisson limit theorem in [4] is the absence traditional assumption (A.2). The purpose this addendum to explain why (A.2) not required, and compare assumptions with ones. We present details argument behind Theorem 3 [4].

We overview the results on topic of compound Poisson approximation to distribution a sum Sn=X1+⋯+Xn (possibly dependent) random variables. indicate number open problems and discuss directions further research.

‎the main purpose of this note is to establish some bounds in poisson approximation for row-wise arrays of independent geometric distributed random variables using the operator method‎. ‎some results related to random sums of independent geometric distributed random variables are also investigated.