Multitype branching limit behavior
Cohn, Harry ; Wang, Qiao
Ann. Appl. Probab., Tome 13 (2003) no. 1, p. 490-500 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
For a multitype branching process in varying environment convergent in probability, a certain sequence of linear combinations of the type sizes is shown to possess some convergence properties. This sequence turns out to be instrumental in deriving a condition for continuity of the limiting distribution function. An application to an $L_1$ convergent process whose offspring mean matrices are weakly ergodic is also given.
Publié le : 2003-05-14
Classification:  Martingale,  varying environment,  multitype,  concentration function,  continuity,  space-time harmonic function,  60J80 
@article{1050689590,
     author = {Cohn, Harry and Wang, Qiao},
     title = {Multitype branching limit behavior},
     journal = {Ann. Appl. Probab.},
     volume = {13},
     number = {1},
     year = {2003},
     pages = { 490-500},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1050689590}
}

Cohn, Harry; Wang, Qiao. Multitype branching limit behavior. Ann. Appl. Probab., Tome 13 (2003) no. 1, pp.  490-500. http://gdmltest.u-ga.fr/item/1050689590/