### 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) |
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Pages (from-to) | 1015-1021 |

Number of pages | 7 |

Journal | Statistics and Probability Letters |

Volume | 80 |

Issue number | 11-12 |

DOIs | |

State | Published - Jun 2010 |

### Fingerprint

### 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.

Research output: Contribution to journal › Article

*Statistics and Probability Letters*, vol. 80, no. 11-12, pp. 1015-1021. https://doi.org/10.1016/j.spl.2010.02.016

}

TY - JOUR

T1 - On an asymptotic distribution of dependent random variables on a 3-dimensional lattice

AU - Harvey, Danielle J

AU - Weng, Qian

AU - Beckett, Laurel A

PY - 2010/6

Y1 - 2010/6

N2 - 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.

AB - 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.

KW - Central limit theorem

KW - Dependent data

KW - Spatial data

UR - http://www.scopus.com/inward/record.url?scp=77952240445&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77952240445&partnerID=8YFLogxK

U2 - 10.1016/j.spl.2010.02.016

DO - 10.1016/j.spl.2010.02.016

M3 - Article

VL - 80

SP - 1015

EP - 1021

JO - Statistics and Probability Letters

JF - Statistics and Probability Letters

SN - 0167-7152

IS - 11-12

ER -