On the almost sure convergence for a linear process generated by negatively associated random variables in a Hilbert space

Let be a strictly stationary negatively associated sequence of H-valued random variables with E[xi]k=0,E||[xi]k||<[infinity] and E||[xi]k||2<[infinity] and a sequence of linear operators such that . For a linear process we derive that almost surely as n-->[infinity].

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Year of publication:	2008
Authors:	Kim, Tae-Sung ; Ko, Mi-Hwa ; Han, Kwang-Hee
Published in:	Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 78.2008, 14, p. 2110-2115
Publisher:	Elsevier

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10005074639