Critical branching processes with infinite variance and increasing immigration
type: Item
instance of: scholarly article
title: Critical branching processes with infinite variance and increasing immigration
zbMATH Open document ID: 0803.60085
DOI: 10.1007/BF01212600
author: V. Pereyra
published in: Mathematical Notes
publication date: 1994-07-13T00:00:00Z
review text: Theorems are stated and proved on the asymptotic behaviour in distribution of the population size for a critical branching process with time-homogeneous family size distribution with regularly varying tail and infinite variance, in which there is time-inhomogeneous immigration with expected number of immigrants in a generation tending to infinity in a regularly varying manner. Universal families of laws emerge from the limiting behaviour.
Mathematics Subject Classification ID: 60J80
Mathematics Subject Classification ID: 60F05
zbMATH DE Number: 589637
zbMATH Keywords: convergence in distribution
zbMATH Keywords: critical branching process
zbMATH Keywords: time-homogeneous family size distribution
zbMATH Keywords: regularly varying tail
zbMATH Keywords: infinite variance
zbMATH Keywords: time-inhomogeneous immigration
reviewed by: D. R. Grey
MaRDI profile type: Publication
cites work: Q5595618
cites work: Q4725455
cites work: Q3739995
cites work: Q5727090
cites work: Regularly varying functions
cites work: A branching process with mean one and possibly infinite variance
description: scientific article; zbMATH DE number 589637