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Communications in Statistics - Theory and Methods Volume 43, 2014 - Issue 8
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Original Articles

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

JosÉ E. ValdÉsFacultad de Matemática y Computación, Universidad de La Habana, La Habana, Cuba
,
Yoel G. YeraFacultad de Matemática y Computación, Universidad de La Habana, La Habana, CubaCorrespondence[email protected]
&
Leonel ZuaznabarIMPA - Instituto Nacional De Matemática Pura e Aplicada, Rio de Janeiro, Brasil
Pages 1698-1707 | Received 19 Sep 2011, Accepted 01 Mar 2012, Published online: 28 Mar 2014
 
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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.

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