Limit Theorems in Bellman–Harris Processes with Finites Second Moments
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| Autor: | |
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| Formato: | artículo original |
| Estado: | Versión publicada |
| Fecha de Publicación: | 2010 |
| Descripción: | In this article are studied different theorems limits in a critical Bellman-Harris branching process with a only type of particle and with finite second moments. There were used two processes in order to figure out the limits as following as: “The condition of no extinction” and “The condition of extinction in the near future”. In the two previous processes is taken into account two different cases as: τi := dit y τi := di ± t, where t is a point of time and di ∈ (0,∞) are fixed for every i = 1, . . . , k. For the case where τi := dit, the Esty’s comparison lemma 2.3 is used to investigate the asymptotic behavior of the joint probability generating function F (s1, . . . , τk), for t → ∞; for the case τi := t + di, is not used. For this last case is founded another comparison lemma (lemma 4.3), that is the base to demonstrate the theorems limits if τi := t ± di. |
| País: | Portal de Revistas UCR |
| Institución: | Universidad de Costa Rica |
| Repositorio: | Portal de Revistas UCR |
| Lenguaje: | Español |
| OAI Identifier: | oai:portal.ucr.ac.cr:article/2123 |
| Acceso en línea: | https://revistas.ucr.ac.cr/index.php/matematica/article/view/2123 |
| Palabra clave: | Bellman-Harris process critical process finite second moments Proceso de Bellman-Harris proceso crítico segundos momentos finitos |