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A Strong Invariance Principle for Associated Random Fields

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  • R.M. Balan

    ()
    (Department of Mathematics and Statistics, University of Ottawa,
    Department of Mathematics, Nanjing University)

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    Abstract

    In this paper we generalize Yu’s strong invariance principle for associated sequences to the multi-parameter case, under the assumption that the covariance coefficient u(n) decays exponentially as n -> (infinity symbol). The main tools will be the Berkes-Morrow multi-parameter blocking technique, the Csörgö-Révész quantile transform method and the Bulinski rate of convergence in the CLT for associated random fields.

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    File URL: http://www.repad.org/ca/on/lrsp/TRS390.pdf
    File Function: First version, 2003
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    Bibliographic Info

    Paper provided by Département des sciences administratives, UQO in its series RePAd Working Paper Series with number lrsp-TRS390.

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    Length: 18 pages
    Date of creation: 14 Oct 2003
    Date of revision:
    Handle: RePEc:pqs:wpaper:0172005

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    Related research

    Keywords: strong invariance principle; associated random fields; blocking technique; quantile transform.;

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    1. Dabrowski, AndréRobert, 1985. "A functional law of the iterated logarithm for associated sequences," Statistics & Probability Letters, Elsevier, vol. 3(4), pages 209-212, July.
    2. 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.
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