Sequences Converging to $D$-Optimal Designs of Experiments

Corwin L. Atwood

102 citations0/0 files storedThe Annals of Statistics

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Optimal Experimental Design Methods Advanced Statistical Methods and Models Statistical and numerical algorithms

Abstract

Fedorov (Theory of Optimal Experiments (1972)) gives a sequence of designs converging to a $D$-optimal design. Several modifications of that sequence are given to improve the speed of convergence. The analogous sequence for estimating some of the parameters is shown to converge to a $D$-optimal design, whether or not all the parameters are estimable under the limiting design. We prove the result $d(x, \xi)\xi(x) \leqq 1$, and several related results.

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1991Optimal Weights for Experimental Designs on Linearly Independent Support Points 1984Computer-Aided Design of Experiments for Response Estimation 1980On linear regression designs which maximize information 1978Some Algorithmic Aspects of the Theory of Optimal Designs 1995Invited Discussion Paper Constrained Optimization of Experimental Design 1989Optimal design with bounded density: optimization algorithms of the exchange type 2018A Randomized Exchange Algorithm for Computing Optimal Approximate Designs of Experiments 1976Convergent Design Sequences, for Sufficiently Regular Optimality Criteria

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