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This paper considers the derivation of a new lower bound for the generalized discrete discrepancy of designs involving mixed level factors. Using mirror mapping and foldover techniques, a simple and efficient construction method of Sudoku-based mixed level uniform designs is proposed. Moreover, the properties of such Sudoku-based mixed level uniform designs are investigated.
The objective of this paper is to study the issue of the generalized projection discrepancy along the line of Qin et al. (J Stat Plan Inference 142:1170–1177, 2012) based on generalized discrete discrepancy measure proposed by Chatterjee and Qin (J Stat Plan Inference 141:951–960, 2011). We shall study the projection properties for general asymmetric factorials and provide some analytic connections...
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