Optimal Design Theory
A-, D-, and E-optimality for parameter estimation.
Optimal Design Theory. A-, D-, and E-optimality for parameter estimation.
Foundations and canonical references
The standard treatments of optimal design theory approach the subject from complementary angles. Atkinson, Optimum Experimental Designs, with SAS (2007) is the anchor reference for the subject and lays out the core definitions, theorems, and worked examples that practitioners return to.
Open methodological questions for optimal design theory include sharpening the bridges between foundational theory and computational practice, extending classical results to broader or more structured settings, and integrating the techniques surveyed above with adjacent mathematical disciplines. The references listed in this page are the entry points that current work builds on.
Prerequisites
Sources
- textbook · primary · 2007Optimum Experimental Designs, with SASatkinson-2007, donev-2007, tobias-2007
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