Abstract
The discrepancy is an important optimality criterion for experimental designs. Sometimes for practical reasons one may choose a design on some finite subset of the original experimental domain. This article addresses the question of whether minimum discrepancy designs are the same for the discrepancy defined on the original experimental domain and the discrepancy defined on a subset. Under certain non-trivial conditions they are shown to be equivalent. Examples are given to show when these conditions apply.
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Liu, MQ., Hickernell, F.J. The Relationship Between Discrepancies Defined on a Domain and on its Subset. Metrika 63, 317–327 (2006). https://doi.org/10.1007/s00184-005-0022-y
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DOI: https://doi.org/10.1007/s00184-005-0022-y