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

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  • Kim, Tae-Sung
  • Ko, Mi-Hwa
  • Han, Kwang-Hee

Abstract

Let be a strictly stationary negatively associated sequence of H-valued random variables with E[xi]k=0,E||[xi]k|| [infinity].

Suggested Citation

  • Kim, Tae-Sung & Ko, Mi-Hwa & Han, Kwang-Hee, 2008. "On the almost sure convergence for a linear process generated by negatively associated random variables in a Hilbert space," Statistics & Probability Letters, Elsevier, vol. 78(14), pages 2110-2115, October.
    • Handle: RePEc:eee:stapro:v:78:y:2008:i:14:p:2110-2115
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    References listed on IDEAS

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    1. Burton, Robert M. & Dabrowski, AndréRobert & Dehling, Herold, 1986. "An invariance principle for weakly associated random vectors," Stochastic Processes and their Applications, Elsevier, vol. 23(2), pages 301-306, December.
    2. Matula, Przemyslaw, 1992. "A note on the almost sure convergence of sums of negatively dependent random variables," Statistics & Probability Letters, Elsevier, vol. 15(3), pages 209-213, October.
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