Chernoff's theorem in the branching random walk
Author:
- J. D. BigginsJBJ. D. Biggins
- 1 September 1977
- journal article
- Published by Cambridge University Press (CUP) in Journal of Applied Probability
- Vol. 14 (3) , 630-636
Abstract
If Fn∗ is the n-fold Stieltjes convolution of the increasing function F, then a version of Chernoff's theorem, on the limiting behaviour of (Fn∗(na))1/n, is established for Fn∗. If Z(n)(t) is the number of the nth-generation people to the left of t in a supercritical branching random walk then an analogous result is proved for Z(n).Keywords
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