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http://cimat.repositorioinstitucional.mx/jspui/handle/1008/623| Fluctuation Limit Theorems for Age-Dependent Critical Binary Branching Systems | |
| JOSE ALFREDO LOPEZ MIMBELA | |
| Acceso Abierto | |
| Atribución-NoComercial | |
| Estadísitica - Migración | |
| We consider an age-dependent branching particle system in R d , where the particles are subject to Æ -stable migration, 0 < Æ ∑ 2, critical binary branching, and general (non-arithmetic) lifetimes distribution. The population starts oÆ from a Poisson ran- dom Øeld in R d with Lebesgue intensity. We prove functional central limit theorems and strong laws of large numbers under two rescalings: high density, and a space- time rescaling. Properties of the limit processes, such as Markov property, almost sure continuity of paths, Langevin equation and spectral measure, are also investigated. | |
| Centro de Investigación en Matemáticas AC | |
| 12-09-2008 | |
| Reporte | |
| Inglés | |
| Investigadores | |
| ANÁLISIS ESTADÍSTICO | |
| Versión publicada | |
| publishedVersion - Versión publicada | |
| Aparece en las colecciones: | Reportes Técnicos - Probabilidad y Estadística |
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