The empirical mean position of a branching Lévy process

David Cheek, Vsevolod Shneer

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)
22 Downloads (Pure)


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
Issue number4
Early online date23 Nov 2020
Publication statusPublished - Dec 2020


  • 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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