On the connection between maximin distance designs and orthogonal designs

Yaping Wang; Jianfeng Yang; Hongquan Xu

doi:10.1093/biomet/asy005

On the connection between maximin distance designs and orthogonal designs

Yaping Wang
, Jianfeng Yang
, Hongquan Xu

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

23 Scopus citations

Abstract

Maximin distance designs and orthogonal designs are widely used in computer and physical experiments. We characterize a broad class of maximin distance designs by establishing new bounds on the minimum intersite distance for mirror-symmetric and general U-type designs. We show that maximin distance designs and orthogonal designs are closely related and coincide under some conditions.

Original language	English
Pages (from-to)	471-477
Number of pages	7
Journal	Biometrika
Volume	105
Issue number	2
DOIs	https://doi.org/10.1093/biomet/asy005
State	Published - 1 Jun 2018
Externally published	Yes

Keywords

Computer experiment
Latin hypercube design
Mirror-symmetric design
Regular cross-polytope
U-type design

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10.1093/biomet/asy005

Cite this

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abstract = "Maximin distance designs and orthogonal designs are widely used in computer and physical experiments. We characterize a broad class of maximin distance designs by establishing new bounds on the minimum intersite distance for mirror-symmetric and general U-type designs. We show that maximin distance designs and orthogonal designs are closely related and coincide under some conditions.",

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AB - Maximin distance designs and orthogonal designs are widely used in computer and physical experiments. We characterize a broad class of maximin distance designs by establishing new bounds on the minimum intersite distance for mirror-symmetric and general U-type designs. We show that maximin distance designs and orthogonal designs are closely related and coincide under some conditions.

KW - Computer experiment

KW - Latin hypercube design

KW - Mirror-symmetric design

KW - Regular cross-polytope

KW - U-type design

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M3 - 文章

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On the connection between maximin distance designs and orthogonal designs

Abstract

Keywords

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