Elfving's theorem for \(D\)-optimality
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Publication:688381
DOI10.1214/aos/1176349149zbMath0796.62062OpenAlexW2051166651MaRDI QIDQ688381
Publication date: 11 October 1994
Published in: The Annals of Statistics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1214/aos/1176349149
least squares estimates\(A\)- optimality\(D\)-optimal design problemequivalence theorem for mixtures of optimality criteriageneralization of Elfving's theoremgeometric characterizationsmodel robust criterionmodel robust version of the \(c\)-optimality criterion
Related Items (16)
Removing inessential points in \(c\)-and \(A\)-optimal design ⋮ A note on \(R\)-optimal designs for multiresponse models ⋮ Elfving's theorem for \(R\)-optimality of experimental designs ⋮ Optimal design for prediction in multiresponse linear models based on rectangular confidence region ⋮ Optimal dose‐finding for efficacy–safety models ⋮ Model-robust \(R\)-optimal designs in linear regression models ⋮ Computing optimal designs of multiresponse experiments reduces to second-order cone program\-ming ⋮ A new characterization of Elfving's method for high dimensional computation ⋮ Geometric characterization of \(D\)-optimal designs for random coefficient regression models ⋮ Elfving's theorem revisited ⋮ Evaluation of Combinatorial Optimisation Algorithms for c-Optimal Experimental Designs with Correlated Observations ⋮ A semidefinite programming study of the Elfving theorem ⋮ A note on Bayesian \(c\)-and \(D\)-optimal designs in nonlinear regression models ⋮ Concentration Sets, Elfving Sets and Norms in Optimum Design ⋮ Design of c-optimal experiments for high-dimensional linear models ⋮ A geometric method for singular c-optimal designs
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