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Majorization for A-optimal designs

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Publication:1122268
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DOI10.1016/0022-247X(89)90168-6zbMath0675.62046MaRDI QIDQ1122268

Kim-Hung Li, Nai N. Chan

Publication date: 1989

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)


zbMATH Keywords

tracecovariance matrixmajorizationgreatest lower boundsimple least-squares estimator


Mathematics Subject Classification ID

Linear regression; mixed models (62J05) Optimal statistical designs (62K05)


Related Items (4)

On DS-optimal design matrices with restrictions on rows or columns ⋮ An algorithm for A-optimal regression designs ⋮ Singular majorants and minorants: enhanced design conditioning ⋮ \(L_p\)-optimality for regression designs with heteroscedastic errors


Uses Software

  • AS 60
  • Algorithm 115



Cites Work

  • Diagonal elements and eigenvalues of a real symmetric matrix
  • Schur-convexity for A-optimal designs
  • A-optimality for regression designs
  • Doubly Stochastic Matrices and the Diagonal of a Rotation Matrix
  • Inequalities: theory of majorization and its applications




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