Abstract
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.
Citation
Soren Asmussen. "Convergence Rates for Branching Processes." Ann. Probab. 4 (1) 139 - 146, February, 1976. https://doi.org/10.1214/aop/1176996193
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