On the invariance principle for stationary ϕ-mixing triangular arrays with infinitely divisible limits

Given a stationary, ϕ-mixing triangular array of Banach space valued random vectors whose row sums converge weakly to an infinitely divisible probability measure, necessary and sufficient conditions for the validity of the corresponding invariance principle in distribution are given.

Guardado en:
Detalles Bibliográficos
Autor principal: Samur, Jorge Donato
Formato: Articulo
Lenguaje:Inglés
Publicado: 1987
Materias:
Matemática
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/138931
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-138931
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Matemática
spellingShingle Matemática
Samur, Jorge Donato
On the invariance principle for stationary ϕ-mixing triangular arrays with infinitely divisible limits
topic_facet Matemática
description Given a stationary, ϕ-mixing triangular array of Banach space valued random vectors whose row sums converge weakly to an infinitely divisible probability measure, necessary and sufficient conditions for the validity of the corresponding invariance principle in distribution are given.
format Articulo
Articulo
author Samur, Jorge Donato
author_facet Samur, Jorge Donato
author_sort Samur, Jorge Donato
title On the invariance principle for stationary ϕ-mixing triangular arrays with infinitely divisible limits
title_short On the invariance principle for stationary ϕ-mixing triangular arrays with infinitely divisible limits
title_full On the invariance principle for stationary ϕ-mixing triangular arrays with infinitely divisible limits
title_fullStr On the invariance principle for stationary ϕ-mixing triangular arrays with infinitely divisible limits
title_full_unstemmed On the invariance principle for stationary ϕ-mixing triangular arrays with infinitely divisible limits
title_sort on the invariance principle for stationary ϕ-mixing triangular arrays with infinitely divisible limits
publishDate 1987
url http://sedici.unlp.edu.ar/handle/10915/138931
work_keys_str_mv AT samurjorgedonato ontheinvarianceprincipleforstationaryphmixingtriangulararrayswithinfinitelydivisiblelimits
bdutipo_str Repositorios
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