Bounds for the Expected Time to Extinction and the Probability of Extinction in the Galton-Watson Process |
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| Authors: | JosÉ E. ValdÉs Leonel Zuaznabar |
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| Affiliation: | 1. Facultad de Matemática y Computación, Universidad de La Habana, La Habana, Cuba;2. IMPA - Instituto Nacional De Matemática Pura e Aplicada, Rio de Janeiro, Brasil |
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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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| Keywords: | Bounds Galton-Watson process Probability of extinction Time to extinction |
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