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

Gusztáv Morvai*, Benjamin Weiss

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-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 languageEnglish
Pages (from-to)1753-1765
Number of pages13
JournalAlea
Volume19
Issue number2
DOIs
StatePublished - 2022

Bibliographical note

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

Keywords

  • Point Processes
  • Poisson Processes

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