INFERENCE ON THE INITIAL SIZE OF A SUPERC RITICAL BRANCHING-PROCESS FROM MIGRATING BINOMIAL OBSERVATIONS

Authors
JACOB C PECCOUD J
Citation
C. Jacob et J. Peccoud, INFERENCE ON THE INITIAL SIZE OF A SUPERC RITICAL BRANCHING-PROCESS FROM MIGRATING BINOMIAL OBSERVATIONS, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 322(9), 1996, pp. 875-880
Citations number
7
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Comptes rendus de l'Academie des sciences. Serie 1, Mathematique → ACNP
ISSN journal
07644442
Volume
322
Issue
9
Year of publication
1996
Pages
875 - 880
Database
ISI
SICI code
0764-4442(1996)322:9<875:IOTISO>2.0.ZU;2-A
Abstract
This paper considers the branching process described in [7] and genera ted by an offspring distribution F with mean m and variance sigma(2), with binomial migration. We give a strong consistent estimator of sigm a(2) and a test statistics of the initial size of the population, base d on a single realization of the migration process.