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On the choice of optimality criteria in comparing statistical designs
Authors:K R Shah  B K Sinha
Abstract:We formulate in a reasonable sense a class of optimality functionals for comparing feasible statistical designs available in a given setup. It is desired that the optimality functionals reflect symmetric measures of the lack of information contained in the designs being compared. In view of this, Kiefer's (1975) universal optimality criterion is seen to rest on stringent conditions, some of which can be relaxed while preserving optimality (in an extended sense) of the so-called balanced designs.
Keywords:Optimality functionals  symmetry  convexity  weak convexity  Schur convexity
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