Sur la propriété de branchement. (On the property of branching)
type: Item
instance of: scholarly article
title: Sur la propriété de branchement. (On the property of branching)
zbMATH Open document ID: 0597.60079
published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques
publication date: 1986-01-01T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/77278
review text: Three lemmas (appearance; generation branching; time branching) given by \textit{P. Jagers} and \textit{O. Nerman} [Adv. Appl. Probab. 16, 221-259 (1984; Zbl 0535.60075)] for supercritical general branching processes are re-formulated by using a tree representation and the properties of a stopping line [see the preceding review, Zbl 0597.60078]. These lemmas are obvious consequences of the branching law and have a decisive part in the analysis of some fundamental, time- or generation-wise decomposition of the supercritical branching process into different family branches.
Mathematics Subject Classification ID: 60J80
zbMATH DE Number: 3962915
zbMATH Keywords: supercritical general branching processes
zbMATH Keywords: time- or generation-wise decomposition of the supercritical
zbMATH Keywords: branching process
zbMATH Keywords: time- or generation-wise decomposition of the supercritical branching process
author: Brigitte Chauvin
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 3962915