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International Conference on Applications of Statistics and Probability in Civil Engineering (ICASP) (12th : 2015)
Improved formulation of Audze-Eglājs criterion for space-filling designs Vořechovský, Miroslav; Eliáš, Jan
Abstract
The Audze–Eglājs (AE) criterion was developed to achieve uniform distribution of experimental points in a hypercube. However, the paper shows that the AE criterion provides strongly nonuniform designs due to the effect of boundaries of the hypercube. We propose a simple remedy that lies in the assumption of periodic boundary conditions. The biased behavior of the original AE criterion and excellent performance of the modified criterion is demonstrated using simple numerical examples focused on (i) uniformity of the samples density over the design space and, (ii) statistical sampling efficiency measured through the ability to correctly estimate statistics of functions of random variables.
Item Metadata
Title |
Improved formulation of Audze-Eglājs criterion for space-filling designs
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Creator | |
Contributor | |
Date Issued |
2015-07
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Description |
The Audze–Eglājs (AE) criterion was developed to achieve uniform distribution of experimental
points in a hypercube. However, the paper shows that the AE criterion provides strongly
nonuniform designs due to the effect of boundaries of the hypercube. We propose a simple remedy that
lies in the assumption of periodic boundary conditions. The biased behavior of the original AE criterion
and excellent performance of the modified criterion is demonstrated using simple numerical examples
focused on (i) uniformity of the samples density over the design space and, (ii) statistical sampling efficiency
measured through the ability to correctly estimate statistics of functions of random variables.
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Genre | |
Type | |
Language |
eng
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Notes |
This collection contains the proceedings of ICASP12, the 12th International Conference on Applications of Statistics and Probability in Civil Engineering held in Vancouver, Canada on July 12-15, 2015. Abstracts were peer-reviewed and authors of accepted abstracts were invited to submit full papers. Also full papers were peer reviewed. The editor for this collection is Professor Terje Haukaas, Department of Civil Engineering, UBC Vancouver.
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Date Available |
2015-05-26
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Provider |
Vancouver : University of British Columbia Library
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Rights |
Attribution-NonCommercial-NoDerivs 2.5 Canada
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DOI |
10.14288/1.0076173
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URI | |
Affiliation | |
Citation |
Haukaas, T. (Ed.) (2015). Proceedings of the 12th International Conference on Applications of Statistics and Probability in Civil Engineering (ICASP12), Vancouver, Canada, July 12-15.
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Peer Review Status |
Unreviewed
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Scholarly Level |
Faculty
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Aggregated Source Repository |
DSpace
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Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivs 2.5 Canada