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Showing papers on "Subordinator published in 1979"


Journal ArticleDOI
TL;DR: In this article, it was shown that the probability of extinction of a Galton-Watson process is less than one if the mean number of offspring is larger than one in the proofs.
Abstract: Appropriate constant multiples of the function $t^{1/\alpha}$ are "the" "maximal local lower envelope" and "the" "minimal local upper envelope" for the sample functions of a strictly stable subordinator of index $\alpha$. The fact that the probability of extinction of a Galton-Watson process is less than one if the mean number of offspring is larger than one is used in the proofs.

17 citations