Lower deviation and moderate deviation probabilities for maximum of a branching random walk
نویسندگان
چکیده
منابع مشابه
Lower Deviation Probabilities for Supercritical Galton-watson Processes
There is a well-known sequence of constants cn describing the growth of supercritical Galton-Watson processes Zn . With “lower deviation probabilities” we refer to P(Zn = kn) with kn = o(cn) as n increases. We give a detailed picture of the asymptotic behavior of such lower deviation probabilities. This complements and corrects results known from the literature concerning special cases. Knowled...
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ژورنال
عنوان ژورنال: Annales de l'Institut Henri Poincaré, Probabilités et Statistiques
سال: 2020
ISSN: 0246-0203
DOI: 10.1214/20-aihp1048