Engineering Mechanics

Proceedings Vol. 21 (2015)

ENGINEERING MECHANICS 2015

Copyright © 2015 Institute of Theoretical and Applied Mechanics, Academy of Sciences of the Czech Republic, v.v.i., Prague

 

M. Šmídová, V. Sadílek, J. Eliáš, M. Vořechovský
pages 284 - 285, full text

This article describes two deterministic designs that optimally fill a unit hypercube. The motivation is to estimate the lower bound of the Audze-Eglājs (AE) criterion – a criterion for optimization of designs of experiments or for a sample for statistical analyses when uniform filling of sampling space is required. The construction of the two deterministic designs is described and the analysis of mutual distances of sample points in the designs (the distances are featured in the formula for the AE criterion) is performed. A closed form for evaluation of the AE criterion on these deterministic designs is developed.

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