Measure-valued branching processes with immigration
type: Item
instance of: scholarly article
title: Measure-valued branching processes with immigration
zbMATH Open document ID: 0760.60075
DOI: 10.1016/0304-4149(92)90061-T
published in: Stochastic Processes and their Applications
publication date: 1993-01-17T00:00:00Z
review text: The paper constructs transition probabilities of a certain Markov process, called a measure-valued branching process with discrete immigration with parameter a constant. Immigration is governed by a Poisson random measure on the time-distribution space, and a probability generating function, both dependent on the parameter. As the parameter approaches 0, the immigration process approaches a continuous time, \(t>0\), Markov process, under suitable hypotheses, called a measure-valued branching process with immigration. The convergence of branching particle systems is also studied.
reviewed by: Howard J. Weiner
Mathematics Subject Classification ID: 60J80
Mathematics Subject Classification ID: 60G57
zbMATH DE Number: 98650
zbMATH Keywords: measure-valued branching process
zbMATH Keywords: Poisson random measure
zbMATH Keywords: probability generating function
zbMATH Keywords: immigration process
zbMATH Keywords: convergence of branching particle systems
author: Zenghu Li
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 98650