DETERMINISTIC BRANCHING PROCEDURE AND ITS STOCHASTIC DERIVATIVES

Authors
HUILLET T KLOPOTOWSKI A
Citation
T. Huillet et A. Klopotowski, DETERMINISTIC BRANCHING PROCEDURE AND ITS STOCHASTIC DERIVATIVES, Journal of Applied Probability, 31(2), 1994, pp. 333-347
Citations number
15
Categorie Soggetti
Statistic & Probability","Statistic & Probability
Journal title
Journal of Applied Probability → ACNP
ISSN journal
00219002
Volume
31
Issue
2
Year of publication
1994
Pages
333 - 347
Database
ISI
SICI code
0021-9002(1994)31:2<333:DBPAIS>2.0.ZU;2-B
Abstract
This paper is concerned with the description of both a deterministic a nd stochastic branching procedure. The renewal equations for the deter ministic branching population are first derived which allow for asympt otic results on the 'number' and 'generation' processes. A probabilist ic version of these processes is then studied which presents some disc repancy with the standard Harris age-dependent branching processes.