Inequalities for Multitype Branching Processes
Turnbull, Bruce W.
Ann. Probab., Tome 1 (1973) no. 5, p. 475-479 / Harvested from Project Euclid
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Some results of the paper "Inequalities for Branching Processes" [Ann. Prob. 1 (1973)] by the same author are extended to a multitype branching process. Bounds are obtained on the probability of extinction and mean time to extinction of the process when the probability transition laws are allowed to vary from period to period and are required only to belong to some class $\mathscr{M}$.
Publié le : 1973-06-14
Classification:  Multitype branching processes,  Chebyshev-like inequalities,  gambling theory,  non-Markovian processes,  martingales,  stopping times,  dynamic programming,  60J80,  60G40,  60G45 
@article{1176996940,
     author = {Turnbull, Bruce W.},
     title = {Inequalities for Multitype Branching Processes},
     journal = {Ann. Probab.},
     volume = {1},
     number = {5},
     year = {1973},
     pages = { 475-479},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1176996940}
}

Turnbull, Bruce W. Inequalities for Multitype Branching Processes. Ann. Probab., Tome 1 (1973) no. 5, pp.  475-479. http://gdmltest.u-ga.fr/item/1176996940/