| dc.creator | Maltz, Alberto Leonardo | |
| dc.date | 1999 | |
| dc.date | 2022-07-06T16:22:44Z | |
| dc.date.accessioned | 2023-07-15T04:43:09Z | |
| dc.date.available | 2023-07-15T04:43:09Z | |
| dc.identifier | http://sedici.unlp.edu.ar/handle/10915/139036 | |
| dc.identifier | issn:0894-9840 | |
| dc.identifier | issn:1572-9230 | |
| dc.identifier.uri | https://repositorioslatinoamericanos.uchile.cl/handle/2250/7470622 | |
| dc.description | The partial-sum processes, indexed by sets, of a stationary nonuniform φ-mixing random field on the d-dimensional integer lattice are considered. A moment inequality is given from which the convergence of the finite-dimensional distributions to a Brownian motion on the Borel subsets of [0, 1]d is obtained. A Uniform CLT is proved for classes of sets with a metric entropy restriction and applied to certain Gibbs fields. This extends some results of Chen(5) for rectangles. In this case and when the variables are bounded a simpler proof of the uniform CLT is given. | |
| dc.description | Facultad de Ciencias Exactas | |
| dc.format | application/pdf | |
| dc.format | 643-660 | |
| dc.language | en | |
| dc.rights | http://creativecommons.org/licenses/by/4.0/ | |
| dc.rights | Creative Commons Attribution 4.0 International (CC BY 4.0) | |
| dc.subject | Matemática | |
| dc.subject | Random fields on integer lattice | |
| dc.subject | partial-sum process | |
| dc.subject | Brownian motion | |
| dc.subject | uniform central limit theorem | |
| dc.subject | nonuniform O-mixing | |
| dc.subject | metric entropy | |
| dc.subject | Gibbs fields | |
| dc.title | On the Central Limit Theorem for Nonuniform φ-Mixing Random Fields | |
| dc.type | Articulo | |
| dc.type | Articulo | |
