The supercritical Galton-Watson process in varying environments-Seneta-Heyde norming

J. D. Biggins; J. C. D'Souza

The supercritical Galton-Watson process in varying environments-Seneta-Heyde norming

J. D. Biggins, J. C. D'Souza

School of Mathematical & Computer Sciences

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

8 Citations (Scopus)

Abstract

A natural sufficient condition is given for a Galton-Watson process in a varying environment to have a single rate of growth that obtains throughout the survival set of the process. In the homogeneous process the growth rate is provided by the usual Seneta-Heyde norming. © 1993.

Original language	English
Pages (from-to)	237-249
Number of pages	13
Journal	Stochastic Processes and their Applications
Volume	48
Issue number	2
Publication status	Published - Nov 1993

Keywords

branching processes
varying environments

Cite this

@article{f78ead0c7e8b4124993d4695481d554f,

title = "The supercritical Galton-Watson process in varying environments-Seneta-Heyde norming",

abstract = "A natural sufficient condition is given for a Galton-Watson process in a varying environment to have a single rate of growth that obtains throughout the survival set of the process. In the homogeneous process the growth rate is provided by the usual Seneta-Heyde norming. {\textcopyright} 1993.",

keywords = "branching processes, varying environments",

author = "Biggins, \{J. D.\} and D'Souza, \{J. C.\}",

year = "1993",

month = nov,

language = "English",

volume = "48",

pages = "237--249",

journal = "Stochastic Processes and their Applications",

issn = "0304-4149",

publisher = "Elsevier B.V.",

number = "2",

}

TY - JOUR

T1 - The supercritical Galton-Watson process in varying environments-Seneta-Heyde norming

AU - Biggins, J. D.

AU - D'Souza, J. C.

PY - 1993/11

Y1 - 1993/11

N2 - A natural sufficient condition is given for a Galton-Watson process in a varying environment to have a single rate of growth that obtains throughout the survival set of the process. In the homogeneous process the growth rate is provided by the usual Seneta-Heyde norming. © 1993.

AB - A natural sufficient condition is given for a Galton-Watson process in a varying environment to have a single rate of growth that obtains throughout the survival set of the process. In the homogeneous process the growth rate is provided by the usual Seneta-Heyde norming. © 1993.

KW - branching processes

KW - varying environments

UR - https://www.scopus.com/pages/publications/38248999848

M3 - Article

SN - 0304-4149

VL - 48

SP - 237

EP - 249

JO - Stochastic Processes and their Applications

JF - Stochastic Processes and their Applications

IS - 2

ER -

The supercritical Galton-Watson process in varying environments-Seneta-Heyde norming

Abstract

Keywords

Other files and links

Fingerprint

Cite this