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

JosÉ E. ValdÉs, Yoel G. Yera and Leonel Zuaznabar

Communications in Statistics - Theory and Methods, 2014, vol. 43, issue 8, 1698-1707

Abstract: 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.

Date: 2014
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DOI: 10.1080/03610926.2012.673851

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