The multitype measure branching process

Authors
Gorostiza, Luis G. Lopez-Mimbela, Jose A.
Citation
G. Gorostiza, Luis et A. Lopez-mimbela, Jose, The multitype measure branching process, Advances in applied probability , 22(1), 1990, pp. 49-67
Journal title
Advances in applied probability → ACNP
ISSN journal
00018678
Volume
22
Issue
1
Year of publication
1990
Pages
49 - 67
Database
ACNP
SICI code
Abstract
The existence of the multitype measure branching process is established as a small particle limit of a system of particles of several types in Rd with immigration undergoing migration, branching and mutation. The process is characterized as a solution of a martingale problem. The single-type case was studied by Dawson (1975), (1977) and Watanabe (1968).