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Experiments with mixtures: Optimal allocations for becker’s models |
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| Authors: | Liu Shuangzhe Neudecker Heinz |
| Institution: | (1) Institute of Actuarial Science and Econometrics, University of Amsterdam, Roetersstraat 11, 1018 WB Amsterdam, The Netherlands |
| Abstract: | Extending Scheffé’s simplex-centroid design for experiments with mixtures, we introduce aweighted simplex-centroid design for a class of mixture models. Becker’s homogeneous functions of degree one belong to this class. By applying optimal design theory, we obtainA-, D- andI-optimal allocations of observations for Becker’s models. |
| Keywords: | Experiments with mixtures Becker’ s models Scheffé’ s canonical polynomials weighted simplex-centroid design A- D- andI-optimal allocations |
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