On the Central Limit Theorem for Nonuniform φ-Mixing Random Fields
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 ob...
Guardado en:
| Autor principal: | |
|---|---|
| Formato: | Articulo |
| Lenguaje: | Inglés |
| Publicado: |
1999
|
| Materias: | |
| Acceso en línea: | http://sedici.unlp.edu.ar/handle/10915/139036 |
| Aporte de: |
| id |
I19-R120-10915-139036 |
|---|---|
| record_format |
dspace |
| institution |
Universidad Nacional de La Plata |
| institution_str |
I-19 |
| repository_str |
R-120 |
| collection |
SEDICI (UNLP) |
| language |
Inglés |
| topic |
Matemática Random fields on integer lattice partial-sum process Brownian motion uniform central limit theorem nonuniform O-mixing metric entropy Gibbs fields |
| spellingShingle |
Matemática Random fields on integer lattice partial-sum process Brownian motion uniform central limit theorem nonuniform O-mixing metric entropy Gibbs fields Maltz, Alberto Leonardo On the Central Limit Theorem for Nonuniform φ-Mixing Random Fields |
| topic_facet |
Matemática Random fields on integer lattice partial-sum process Brownian motion uniform central limit theorem nonuniform O-mixing metric entropy Gibbs fields |
| 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. |
| format |
Articulo Articulo |
| author |
Maltz, Alberto Leonardo |
| author_facet |
Maltz, Alberto Leonardo |
| author_sort |
Maltz, Alberto Leonardo |
| title |
On the Central Limit Theorem for Nonuniform φ-Mixing Random Fields |
| title_short |
On the Central Limit Theorem for Nonuniform φ-Mixing Random Fields |
| title_full |
On the Central Limit Theorem for Nonuniform φ-Mixing Random Fields |
| title_fullStr |
On the Central Limit Theorem for Nonuniform φ-Mixing Random Fields |
| title_full_unstemmed |
On the Central Limit Theorem for Nonuniform φ-Mixing Random Fields |
| title_sort |
on the central limit theorem for nonuniform φ-mixing random fields |
| publishDate |
1999 |
| url |
http://sedici.unlp.edu.ar/handle/10915/139036 |
| work_keys_str_mv |
AT maltzalbertoleonardo onthecentrallimittheoremfornonuniformphmixingrandomfields |
| bdutipo_str |
Repositorios |
| _version_ |
1764820456915861505 |