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

Research output: Contribution to journalArticle

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

Keywords

  • Central limit theorem
  • Dependent data
  • Spatial data

ASJC Scopus subject areas

  • Statistics, Probability and Uncertainty
  • Statistics and Probability

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