On the accuracy of the poissonisation in the infinite occupancy scheme

TL;DR

This paper investigates the asymptotic accuracy of poissonisation in the infinite occupancy scheme, focusing on integer-valued random variables with regularly varying distributions.

Contribution

It provides new asymptotic results on the accuracy of poissonisation specifically for integer-valued regularly varying distributions.

Findings

Asymptotic accuracy of poissonisation established.

Results applicable to integer-valued regularly varying distributions.

Enhanced understanding of occupancy scheme behaviors.

Abstract

We obtain asymptotic accuracy of the poissonisation in the infinite occupancy scheme. All results are obtained for integer-valued random variables having a regularly varying distribution.