A note on the Rényi criterion for Poisson processes and their identification

Gusztáv Morvai; Benjamin Weiss

doi:10.30757/alea.v19-66

A note on the Rényi criterion for Poisson processes and their identification

Gusztáv Morvai^*
, Benjamin Weiss

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We give a sequence of binary functions defined on the finite observations of a stationary point process which will almost surely eventually take the value POISSON if the observed process is Poisson, and NOTPOISSON otherwise. We will give explicit upper bounds on the probability of misclassification in case the process is Poisson.

Original language	English
Pages (from-to)	1753-1765
Number of pages	13
Journal	Alea
Volume	19
Issue number	2
DOIs	https://doi.org/10.30757/alea.v19-66
State	Published - 2022

Bibliographical note

Publisher Copyright:
© 2022,Alea (Rio de Janeiro).All Rights Reserved.

Keywords

Point Processes
Poisson Processes

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10.30757/alea.v19-66

Cite this

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A note on the Rényi criterion for Poisson processes and their identification

Abstract

Bibliographical note

Keywords

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