Optimal Regression Designs in Symmetric Domains
Single factor polynomial
Multi-factor linear Symmetric experimental domains: Interval, hypercube and unit ball Major tools: de la Garza (DLG) phenomenon and Loewner order domination of information matrices for search reduction Optimality criteria: Maximization of optimality functional Optimality results: Specific optimal designs for estimation of regression parameters under continuous design theory Thrust: Symmetry, invariance and concavity of optimality functional vis - a - vis symmetric experimental domains
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