Bounds for the Expected Time to Extinction and the Probability of Extinction in the Galton-Watson Process

Jose E Valdes,Yoel G Yera,Leonel Zuaznabar

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS（2014）

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摘要

Upper bounds for the expected time to extinction in the Galton-Watson process are obtained. We also found upper and lower bounds for the probability of extinction of this process. These bounds improve some bounds previously obtained by other authors.

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关键词

Probability of extinction,Time to extinction,Galton-Watson process,Bounds

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