The empirical mean position of a branching Lévy process

David Cheek, Vsevolod Shneer

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Abstract

We consider a supercritical branching Lévy process on the real line. Under mild moment assumptions on the number of offspring and their displacements, we prove a second-order limit theorem on the empirical mean position.

Original languageEnglish
Pages (from-to)1252-1259
Number of pages8
JournalAdvances in Applied Probability
Volume57
Issue number4
Early online date23 Nov 2020
DOIs
Publication statusPublished - Dec 2020

Keywords

  • Branching Lévy process
  • branching Brownian motion
  • branching random walk
  • empirical mean depth
  • empirical mean position

ASJC Scopus subject areas

  • Statistics and Probability
  • Mathematics(all)
  • Statistics, Probability and Uncertainty

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