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

Danielle J Harvey; Qian Weng; Laurel A Beckett

doi:10.1016/j.spl.2010.02.016

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

Danielle J Harvey, Qian Weng, Laurel A Beckett

Public Health Sciences

Research output: Contribution to journal › Article › peer-review

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 language	English (US)
Pages (from-to)	1015-1021
Number of pages	7
Journal	Statistics and Probability Letters
Volume	80
Issue number	11-12
DOIs	https://doi.org/10.1016/j.spl.2010.02.016
State	Published - 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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10.1016/j.spl.2010.02.016

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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.",

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