Supercritical Age Dependent Branching Processes with Generation Dependence
Fearn, Dean H.
Ann. Probab., Tome 4 (1976) no. 6, p. 27-37 / Harvested from Project Euclid
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This paper examines the size, $Z(t)$, of a population as a function of time. $Z(t)$ is just like the ordinary Bellman-Harris age dependent branching process except that the number of daughters born to an individual in the $n$th generation is allowed to depend on $n$. The renewal theory of William Feller and Laplace transform theory are used to obtain the behavior of $EZ(t)$ as $t$ approaches infinity, and the convergence of $Z(t)/E(Z(t))$ in quadratic mean.
Publié le : 1976-02-14
Classification:  Age dependent branching processes,  60J80,  60K05 
@article{1176996178,
     author = {Fearn, Dean H.},
     title = {Supercritical Age Dependent Branching Processes with Generation Dependence},
     journal = {Ann. Probab.},
     volume = {4},
     number = {6},
     year = {1976},
     pages = { 27-37},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1176996178}
}

Fearn, Dean H. Supercritical Age Dependent Branching Processes with Generation Dependence. Ann. Probab., Tome 4 (1976) no. 6, pp.  27-37. http://gdmltest.u-ga.fr/item/1176996178/