A Note on the Almost Sure Convergence for Dependent Random Variables in a Hilbert Space

Mi-Hwa Ko (), Tae-Sung Kim () and Kwang-Hee Han ()
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Mi-Hwa Ko: WonKwang University
Tae-Sung Kim: WonKwang University
Kwang-Hee Han: Howon University

Journal of Theoretical Probability, 2009, vol. 22, issue 2, 506-513

Abstract: Abstract We obtain the almost sure convergence for sequences of H-valued random variables which are either associated or negatively associated. Our results extend the results of Birkel (Stat. Probab. Lett. 7:17–20, 1989) and Matula (Stat. Probab. Lett. 15:209–213, 1992) to a Hilbert space.

Keywords: Associated; Negatively associated; Hilbert space valued random variables; Almost sure convergence; 60F05; 60F17; 60G10 (search for similar items in EconPapers)
Date: 2009
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DOI: 10.1007/s10959-008-0144-z

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