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On an asymptotic distribution of dependent random variables on a 3-dimensional lattice

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  • Harvey, Danielle J.
  • Weng, Qian
  • Beckett, Laurel A.

Abstract

We define conditions under which sums of dependent spatial data will be approximately normally distributed. A theorem on the asymptotic distribution of a sum of dependent random variables defined on a 3-dimensional lattice is presented. Examples are also presented.

Suggested Citation

  • Harvey, Danielle J. & Weng, Qian & Beckett, Laurel A., 2010. "On an asymptotic distribution of dependent random variables on a 3-dimensional lattice," Statistics & Probability Letters, Elsevier, vol. 80(11-12), pages 1015-1021, June.
    • Handle: RePEc:eee:stapro:v:80:y:2010:i:11-12:p:1015-1021
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    References listed on IDEAS

    as
    1. Romano, Joseph P. & Wolf, Michael, 2000. "A more general central limit theorem for m-dependent random variables with unbounded m," Statistics & Probability Letters, Elsevier, vol. 47(2), pages 115-124, April.
    2. Christofides, Tasos C. & Mavrikiou, Petroula M., 2003. "Central limit theorem for dependent multidimensionally indexed random variables," Statistics & Probability Letters, Elsevier, vol. 63(1), pages 67-78, May.
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