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This paper presents a number of results concerning the theory of the optimal design of experiments initiated and principal developed by Elfving, Kiefer and Wolfowitz. The paper contains approximately half expository and half new material. The proofs are mostly new and presented in a unified manner. The paper contains material on the estimation of linear functions of the regression parameters, extrapolation, minimax estimation, admissible designs and some quadratic loss problems. (Author)
Karlin et al. (Mon,) studied this question.