Convergence of sums of mixing triangular arrays of random vectors with stationary rows : Notas de Matemática, 39

Several authors have studied the weak convergence of the laws of suns of randon variables with the hypothesis of independence replaced by less restrictive properties which are expressed through certain dependence coefficients (see, for example, Ibraginov and Linnik [12], Billingsley [6],[7], Iosifes...

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Autor principal: Samur, Jorge Donato
Formato: Publicacion seriada
Lenguaje:Inglés
Publicado: 1983
Materias:
Matemática
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/167238
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SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-167238
record_format dspace
spelling I19-R120-10915-1672382024-06-13T20:10:13Z http://sedici.unlp.edu.ar/handle/10915/167238 Convergence of sums of mixing triangular arrays of random vectors with stationary rows : Notas de Matemática, 39 Samur, Jorge Donato 1983 2024-06-13T17:49:17Z en Matemática Several authors have studied the weak convergence of the laws of suns of randon variables with the hypothesis of independence replaced by less restrictive properties which are expressed through certain dependence coefficients (see, for example, Ibraginov and Linnik [12], Billingsley [6],[7], Iosifescu and Theodorescu [13], Philipp [15]). In this paper we consider certain mixing conditions (the so-called φ and ψ-mixing) for triangular arrays of random vectors which take values in a separable Banach space and whose rows form stationary finite sequences (see Section 1 for the definitions). Our aim is to give necessary and sufficient conditions for the convergence of the laws of the row sums of such triangular arrays expressed in terms of the individual random vectors and, in principle, without moment assumptions. El año de publicación es aproximado. Material digitalizado en SEDICI gracias a la colaboración de la Biblioteca del Departamento de Matemática de la Facultad de Ciencias Exactas (UNLP). Facultad de Ciencias Exactas Publicacion seriada Publicacion seriada http://creativecommons.org/licenses/by-nc-sa/4.0/ Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0) application/pdf
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
Convergence of sums of mixing triangular arrays of random vectors with stationary rows : Notas de Matemática, 39
topic_facet Matemática
description Several authors have studied the weak convergence of the laws of suns of randon variables with the hypothesis of independence replaced by less restrictive properties which are expressed through certain dependence coefficients (see, for example, Ibraginov and Linnik [12], Billingsley [6],[7], Iosifescu and Theodorescu [13], Philipp [15]). In this paper we consider certain mixing conditions (the so-called φ and ψ-mixing) for triangular arrays of random vectors which take values in a separable Banach space and whose rows form stationary finite sequences (see Section 1 for the definitions). Our aim is to give necessary and sufficient conditions for the convergence of the laws of the row sums of such triangular arrays expressed in terms of the individual random vectors and, in principle, without moment assumptions.
format Publicacion seriada
Publicacion seriada
author Samur, Jorge Donato
author_facet Samur, Jorge Donato
author_sort Samur, Jorge Donato
title Convergence of sums of mixing triangular arrays of random vectors with stationary rows : Notas de Matemática, 39
title_short Convergence of sums of mixing triangular arrays of random vectors with stationary rows : Notas de Matemática, 39
title_full Convergence of sums of mixing triangular arrays of random vectors with stationary rows : Notas de Matemática, 39
title_fullStr Convergence of sums of mixing triangular arrays of random vectors with stationary rows : Notas de Matemática, 39
title_full_unstemmed Convergence of sums of mixing triangular arrays of random vectors with stationary rows : Notas de Matemática, 39
title_sort convergence of sums of mixing triangular arrays of random vectors with stationary rows : notas de matemática, 39
publishDate 1983
url http://sedici.unlp.edu.ar/handle/10915/167238
work_keys_str_mv AT samurjorgedonato convergenceofsumsofmixingtriangulararraysofrandomvectorswithstationaryrowsnotasdematematica39
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