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Some almost sure convergence theorems for branching processes. (English) Zbl 0212.19703

MSC:
60J80 Branching processes (Galton-Watson, birth-and-death, etc.)
60G50 Sums of independent random variables; random walks
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References:
[1] Breiman, L.: Probability. Reading, Mass.: Addison-Wesley 1968.
[2] Harris, T.E.: The theory of branching processes. Berlin-Göttingen-Heidelberg: Springer 1963. · Zbl 0117.13002
[3] Heyde, C.C.: Some central limit analogues for super-critical Galton-Watson processes. J. appl. Probab. 8, 52-59 (1971). · Zbl 0222.60054 · doi:10.2307/3211837
[4] - Brown, B.M.: An invariance principle and some convergence rate results for branching processes. Z.Wahrscheinlichkeitstheorie verw. Geb. (1971) (to appear). · Zbl 0212.49505
[5] Kendall, D.G.: Branching processes since 1873. J. London math. Soc. 41, 385-406 (1966). · Zbl 0154.42505 · doi:10.1112/jlms/s1-41.1.385
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