Stationary processes whose filtrations are standard

Author	dc.contributor.author	Bressaud, X.
Author	dc.contributor.author	Maass Sepúlveda, Alejandro	es_CL
Author	dc.contributor.author	Martínez Aguilera, Servet	es_CL
Author	dc.contributor.author	San Martín Aristegui, Jaime	es_CL
Admission date	dc.date.accessioned	2013-12-23T20:01:04Z
Available date	dc.date.available	2013-12-23T20:01:04Z
Publication date	dc.date.issued	2006
Cita de ítem	dc.identifier.citation	The Annals of Probability 2006, Vol. 34, No. 4, 1589–1600	en_US
Identifier	dc.identifier.other	DOI: 10.1214/009117906000000151
Identifier	dc.identifier.uri	https://repositorio.uchile.cl/handle/2250/125835
General note	dc.description	Artículo de publicación ISI	en_US
Abstract	dc.description.abstract	We study the standard property of the natural filtration associated to a 0–1 valued stationary process. In our main result we show that if the process has summable memory decay, then the associated filtration is standard. We prove it by coupling techniques. For a process whose associated filtration is standard, we construct a product type filtration extending it, based upon the usual couplings and the Vershik’s criterion for standardness	en_US
Lenguage	dc.language.iso	en_US	en_US
Type of license	dc.rights	Attribution-NonCommercial-NoDerivs 3.0 Chile	*
Link to License	dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/3.0/cl/	*
Keywords	dc.subject	stationary processes	en_US
Título	dc.title	Stationary processes whose filtrations are standard	en_US
Document type	dc.type	Artículo de revista

Except where otherwise noted, this item's license is described as Attribution-NonCommercial-NoDerivs 3.0 Chile