LlogL Condition for Supercritical Branching Hunt Processes

Rong Li Liu, Yan Xia Ren, Renming Song

Research output: Contribution to journalArticle

Abstract

In this paper we use the spine decomposition and martingale change of measure to establish a Kesten-Stigum Llog L theorem for branching Hunt processes. This result is a generalization of the results in Asmussen and Hering (Z. Wahrscheinlichkeitstheor. Verw. Geb. 36:195-212, 1976) and Hering (Branching Processes, pp. 177-217, 1978) for branching diffusions.

Original languageEnglish (US)
Pages (from-to)170-193
Number of pages24
JournalJournal of Theoretical Probability
Volume24
Issue number1
DOIs
StatePublished - Mar 1 2011

Keywords

  • Branching Hunt processes
  • Hunt processes
  • Kesten-Stigum theorem
  • Martingale change of measure
  • Martingales

ASJC Scopus subject areas

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

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