THE SUPERCRITICAL GALTON-WATSON PROCESS IN VARYING ENVIRONMENTS - SENETA-HEYDE NORMING

Authors
BIGGINS JD DSOUZA JC
Citation
Jd. Biggins et Jc. Dsouza, THE SUPERCRITICAL GALTON-WATSON PROCESS IN VARYING ENVIRONMENTS - SENETA-HEYDE NORMING, Stochastic processes and their applications, 48(2), 1993, pp. 237-249
Citations number
10
Categorie Soggetti
Statistic & Probability","Statistic & Probability
Journal title
Stochastic processes and their applications → ACNP
ISSN journal
03044149
Volume
48
Issue
2
Year of publication
1993
Pages
237 - 249
Database
ISI
SICI code
0304-4149(1993)48:2<237:TSGPIV>2.0.ZU;2-G
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 th roughout the survival set of the process. In the homogeneous process t he growth rate is provided by the usual Seneta-Heyde norming.