@article{a6c5cf9fa26d43bba0686be5b2e6b203,
title = "Large deviations analysis of extinction in branching models",
abstract = "Cramer's classical theorem is applied to obtain large deviations in branching processes. This is a new avenue for analysis of models in discrete and continuous time. For the Galton-Watson process a new formula for the rate function in terms of the Legendre transform of its offspring distribution is derived. Further analysis of the approximate path to extinction produces a new interesting formula.",
keywords = "Cramer's theorem, Extinction, Galton-Watson process, Large deviations, Legendre transform",
author = "Klebaner, {Fima C.} and Robert Liptser",
note = "Funding Information: The authors are grateful to the referee for the remarks and questions that led to a much improved version of the article. Research supported by Australian Research Council grant DP0451657.",
year = "2008",
month = jan,
doi = "10.1080/08898480701792477",
language = "אנגלית",
volume = "15",
pages = "55--69",
journal = "Mathematical Population Studies",
issn = "0889-8480",
publisher = "Taylor and Francis Ltd.",
number = "1",
}