The empirical mean position of a branching Lévy process

David Cheek; Vsevolod Shneer

doi:10.1017/jpr.2020.60

The empirical mean position of a branching Lévy process

David Cheek
, Vsevolod Shneer

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

4 Citations (Scopus)

104 Downloads (Pure)

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 language	English
Pages (from-to)	1252-1259
Number of pages	8
Journal	Advances in Applied Probability
Volume	57
Issue number	4
Early online date	23 Nov 2020
DOIs	https://doi.org/10.1017/jpr.2020.60
Publication status	Published - 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
General Mathematics
Statistics, Probability and Uncertainty

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abstract = "We consider a supercritical branching L{\'e}vy 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.",

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DO - 10.1017/jpr.2020.60

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The empirical mean position of a branching Lévy process

Abstract

Keywords

ASJC Scopus subject areas

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