Likely path to extinction in simple branching models with large initial population
نویسندگان
چکیده
منابع مشابه
Likely Path to Extinction in Simple Branching Models with Large Initial Population
We give explicit formulae for most likely paths to extinction in simple branching models when initial population is large. In discrete time, we study the Galton-Watson process, and in continuous time, the branching diffusion. Themost likely paths are found with the help of the large deviation principle (LDP). We also find asymptotics for the extinction probability, which gives a new expression ...
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ژورنال
عنوان ژورنال: Journal of Applied Mathematics and Stochastic Analysis
سال: 2006
ISSN: 1048-9533,1687-2177
DOI: 10.1155/jamsa/2006/60376