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A Berry-Esséen theorem and a functional law of the iterated logarithm for weakly associated random vectors

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  • Dabrowski, AndréR.
  • Dehling, Herold

Abstract

Associated sequences have been studied extensively in recent years. Burton et al. (1986) introduced a generalization of association to d-dimensional random vectors and proved Functional Central Limit Theorems. In the present paper a Berry-Esséen theorem and a Functional Law of the Iterated Logarithm are obtained.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:spapps:v:30:y:1988:i:2:p:277-289
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    Cited by:

    1. Khoshnevisan, Davar & Lewis, Thomas M., 1998. "A law of the iterated logarithm for stable processes in random scenery," Stochastic Processes and their Applications, Elsevier, vol. 74(1), pages 89-121, May.
    2. 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.
    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.

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