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On the accuracy of the poissonisation in the infinite occupancy scheme

Mikhail Chebunin

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.

On the accuracy of the poissonisation in the infinite occupancy scheme

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.

Paper Structure

This paper contains 3 sections, 8 theorems, 88 equations.

Table of Contents

  1. Introduction
  2. Proof of Theorem 1
  3. Proof of Corollary 1

Key Result

Theorem 1

Under condition (reg), for any $k\ge1$ and $\theta\in[0,1]$, Here

Theorems & Definitions (10)

  • Theorem 1
  • Corollary 1
  • Remark 1
  • Proposition 1
  • Lemma 1
  • Lemma 2
  • Lemma 3
  • proof
  • Lemma 4
  • Lemma 5