| Título: | On a Class of Discrete Generation Interacting Particle Systems |
| Autores: |
Del Moral, P.; Univ. P. Sabatier Kouritzin, M. A.; University of Alberta Miclo, L.; Univ. P. Sabatier |
| Fecha: | 2001-01-01 |
| Publicador: | Electronic journal of probability |
| Fuente: |
 |
| Tipo: |
Peer-reviewed Article |
| Tema: |
Mathematics Interacting particle systems, genetic algorithms, Feynman-Kac formulas, stochastic approximations, central limit theorem. Primary: 60F05, 60G35 Secondary: 93E11, 62L20 |
| Descripción: | The asymptotic behavior of a general class of discrete generation interacting particle systems is discussed. We provide Lp-mean error estimates for their empirical measure on path space and present sufficient conditions for uniform convergence of the particle density profiles with respect to the time parameter. Several examples including mean field particle models, genetic schemes and McKean's Maxwellian gases will also be given. In the context of Feynman-Kac type limiting distributions we also prove central limit theorems and we start a variance comparison for two generic particle approximating models. |
| Idioma: | Inglés |
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