Convergence Rates for Branching Processes
Asmussen, Soren
Ann. Probab., Tome 4 (1976) no. 6, p. 139-146 / Harvested from Project Euclid
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Almost sure estimates of the rate of convergence for the supercritical Galton-Watson process are obtained, e.g. $W - W_n = o(m^{-n/q})$ a.s. if and only if $E(Z_1^p \mid Z_0 = 1) < \infty$, where $1 < p < 2, 1/p + 1/q = 1$. Extensions to the multitype and continuous time cases are outlined.
Publié le : 1976-02-14
Classification:  Galton-Watson processes,  supercritical,  infinite variance,  convergence rates,  60J80,  60J85 
@article{1176996193,
     author = {Asmussen, Soren},
     title = {Convergence Rates for Branching Processes},
     journal = {Ann. Probab.},
     volume = {4},
     number = {6},
     year = {1976},
     pages = { 139-146},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1176996193}
}

Asmussen, Soren. Convergence Rates for Branching Processes. Ann. Probab., Tome 4 (1976) no. 6, pp.  139-146. http://gdmltest.u-ga.fr/item/1176996193/