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• W2016372170 abstract "Let M n denote the size of the largest amongst the first n generations of a simple branching process. It is shown for near critical processes with a finite offspring variance that the law of M n / n , conditioned on no extinction at or before n , has a non-defective weak limit. The proof uses a conditioned functional limit theorem deriving from the Feller-Lindvall (CB) diffusion limit for branching processes descended from increasing numbers of ancestors. Subsidiary results are given about hitting time laws for CB diffusions and Bessel processes." @default.
• W2016372170 created "2016-06-24" @default.
• W2016372170 creator A5047616244 @default.
• W2016372170 date "1998-09-01" @default.
• W2016372170 modified "2023-09-26" @default.
• W2016372170 title "A limit theorem for the maxima of the para-critical simple branching process" @default.
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• W2016372170 doi "https://doi.org/10.1239/aap/1035228127" @default.
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