Pronzato, Luc, Wynn, Henry P. and Zhigljavsky, Anatoly ORCID: https://orcid.org/0000-0003-0630-8279 2016. Extremal measures maximizing functionals based on simplicial volumes. Statistical Papers 57 , pp. 1059-1075. 10.1007/s00362-016-0767-6 |
Official URL: http://dx.doi.org/10.1007/s00362-016-0767-6
Abstract
We consider functionals measuring the dispersion of a d-dimensional distribution which are based on the volumes of simplices of dimension k≤d formed by k+1 independent copies and raised to some power δ. We study properties of extremal measures that maximize these functionals. In particular, for positive δ we characterize their support and for negative δ we establish connection with potential theory and motivate the application to space-filling design for computer experiments. Several illustrative examples are presented.
Item Type: | Article |
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Date Type: | Publication |
Status: | Published |
Schools: | Mathematics |
Subjects: | Q Science > QA Mathematics |
Publisher: | Springer Verlag |
ISSN: | 0932-5026 |
Date of Acceptance: | 13 March 2016 |
Last Modified: | 01 Nov 2022 10:00 |
URI: | https://orca.cardiff.ac.uk/id/eprint/89880 |
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