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

Danielle J Harvey, Qian Weng, Laurel A Beckett

Research output: Contribution to journal › Article

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.

Original languageEnglish (US)
Pages (from-to)1015-1021
Number of pages7
JournalStatistics and Probability Letters
Volume80
Issue number11-12
DOIs
StatePublished - Jun 2010

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Dependent Random Variables
Asymptotic distribution
Dependent Data
Spatial Data
Theorem
Random variables

Keywords

  • Central limit theorem
  • Dependent data
  • Spatial data

ASJC Scopus subject areas

  • Statistics, Probability and Uncertainty
  • Statistics and Probability

Cite this

On an asymptotic distribution of dependent random variables on a 3-dimensional lattice. / Harvey, Danielle J; Weng, Qian; Beckett, Laurel A.

In: Statistics and Probability Letters, Vol. 80, No. 11-12, 06.2010, p. 1015-1021.

Research output: Contribution to journal › Article

Harvey, DJ, Weng, Q & Beckett, LA 2010, 'On an asymptotic distribution of dependent random variables on a 3-dimensional lattice', Statistics and Probability Letters, vol. 80, no. 11-12, pp. 1015-1021. https://doi.org/10.1016/j.spl.2010.02.016
Harvey DJ, Weng Q, Beckett LA. On an asymptotic distribution of dependent random variables on a 3-dimensional lattice. Statistics and Probability Letters. 2010 Jun;80(11-12):1015-1021. https://doi.org/10.1016/j.spl.2010.02.016
Harvey, Danielle J ; Weng, Qian ; Beckett, Laurel A. / On an asymptotic distribution of dependent random variables on a 3-dimensional lattice. In: Statistics and Probability Letters. 2010 ; Vol. 80, No. 11-12. pp. 1015-1021.
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