A Critical Age-Dependent Branching Process with Immigration

Weiner, Howard J.

Ann. Math. Statist., Tome 43 (1972) no. 6, p. 2099-2103 / Harvested from Project Euclid

Résumé

It is shown that the number of cells alive at time $t$, denoted by $Z_0(t)$, of a critical age dependent branching process with immigration satisfies $t^{-1}Z_0(t)$ approaches a gamma law with specified constants in distribution.

Publié le : 1972-12-14
Classification:

@article{1177690892,
     author = {Weiner, Howard J.},
     title = {A Critical Age-Dependent Branching Process with Immigration},
     journal = {Ann. Math. Statist.},
     volume = {43},
     number = {6},
     year = {1972},
     pages = { 2099-2103},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1177690892}
}

Weiner, Howard J. A Critical Age-Dependent Branching Process with Immigration. Ann. Math. Statist., Tome 43 (1972) no. 6, pp.  2099-2103. http://gdmltest.u-ga.fr/item/1177690892/