Uniform projection designs
type: Item
instance of: scholarly article
title: Uniform projection designs
zbMATH Open document ID: 1417.62226
DOI: 10.1214/18-AOS1705
author: Fasheng Sun
author: Hongquan Xu
author: Ya Ping Wang
published in: The Annals of Statistics
publication date: 2019-03-14T00:00:00Z
full work available at URL: https://projecteuclid.org/euclid.aos/1543568601
review text: A computer or physical experiment often involves a large number of factors. Latin hypercube designs (LHDs) are very popular in such situations. If only a few of the large number of factors are active, designs with good projection properties are desirable. Unfortunately, LHDs may have bad projections onto lower dimensions. There are several proposals in the relevant literature to overcome this disadvantage, e.g. by improvements of space-filling properties and consideration of further criteria like orthogonality or maximin distance criteria. In this paper the authors propose a new criterion, called uniform projection criterion, by focussing on projection uniformity. Uniform projection designs have good space-filling properties in terms of distance, uniformity and orthogonality. Some theoretical results are presented, e.g. that maximin equidistant designs are uniform projection designs. A class of asymptotically optimal uniform projection designs based on good lattice point designs is constructed. The results are applied to a multidrug combination experiment.
reviewed by: Wolfgang Näther
Mathematics Subject Classification ID: 62K15
Mathematics Subject Classification ID: 62K05
Mathematics Subject Classification ID: 05B15
zbMATH DE Number: 7036214
zbMATH Keywords: computer experiment
zbMATH Keywords: discrepancy
zbMATH Keywords: Latin hypercube design
zbMATH Keywords: maximin distance design
zbMATH Keywords: space-filling design
zbMATH Keywords: uniform design
MaRDI profile type: Publication
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Wikidata QID: Q128895943
description: scientific article; zbMATH DE number 7036214