The empirical mean position of a branching Lévy process

David Cheek, Vsevolod Shneer

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Abstract

We consider a supercritical branching L´evy 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
JournalAdvances in Applied Probability
Publication statusAccepted/In press - 7 May 2020

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