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Strassen's law of the iterated logarithm for negatively associated random vectors

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  • Zhang, Li-Xin

Abstract

The aim of this paper is to establish Strassen's law of the iterated logarithm for negatively associated random vectors under the finite second moment.

Suggested Citation

  • Zhang, Li-Xin, 2001. "Strassen's law of the iterated logarithm for negatively associated random vectors," Stochastic Processes and their Applications, Elsevier, vol. 95(2), pages 311-328, October.
    • Handle: RePEc:eee:spapps:v:95:y:2001:i:2:p:311-328
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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. Dabrowski, AndréR. & Dehling, Herold, 1988. "A Berry-Esséen theorem and a functional law of the iterated logarithm for weakly associated random vectors," Stochastic Processes and their Applications, Elsevier, vol. 30(2), pages 277-289, December.
    3. Shao, Qi-Man & Su, Chun, 1999. "The law of the iterated logarithm for negatively associated random variables," Stochastic Processes and their Applications, Elsevier, vol. 83(1), pages 139-148, September.
    4. 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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    Cited by:

    1. Huang, Wei, 2003. "A law of the iterated logarithm for geometrically weighted series of negatively associated random variables," Statistics & Probability Letters, Elsevier, vol. 63(2), pages 133-143, June.
    2. Hien, N.T.T. & Thanh, L.V., 2015. "On the weak laws of large numbers for sums of negatively associated random vectors in Hilbert spaces," Statistics & Probability Letters, Elsevier, vol. 107(C), pages 236-245.

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