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2021 Poisson approximation. Addendum
S. Y. Novak
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Probab. Surveys 18: 272-275 (2021). DOI: 10.1214/21-PS2

Abstract

An important feature of a Poisson limit theorem in [4] 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 [4] with traditional ones. We present details of the argument behind Theorem 3 in [4].

Acknowledgments

The author is grateful to the reviewer for a helpful remark that led to simplification of the proof of proposition 1.

Citation

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S. Y. Novak. "Poisson approximation. Addendum." Probab. Surveys 18 272 - 275, 2021. https://doi.org/10.1214/21-PS2

Information

Received: 1 May 2021; Published: 2021
First available in Project Euclid: 22 December 2021

Digital Object Identifier: 10.1214/21-PS2

Subjects:
Primary: 60F05 , 60F05
Secondary: 60G70

Keywords: Poisson approximation

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