Gustav Elfving's contribution to the emergence of the optimal experimental design theory.

DOI10.1214/ss/1009212245zbMath1059.62578OpenAlexW1590668187MaRDI QIDQ1431162

Johan Fellman

Publication date: 27 May 2004

Published in: Statistical Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/ss/1009212245

zbMATH Keywords

singularityoptimality criteriaA-optimal designsAs-optimal designsC-optimal designsrelevant observations

Mathematics Subject Classification ID

Optimal statistical designs (62K05) History of mathematics in the 20th century (01A60) Biographies, obituaries, personalia, bibliographies (01A70) History of statistics (62-03)

Related Items (4)

A procedure for finding an improved upper bound on the number of optimal design points ⋮ Elfving's theorem revisited ⋮ A semidefinite programming study of the Elfving theorem ⋮ A geometric characterization of \(c\)-optimal designs for heteroscedastic regression

Cites Work

• On optimality properties of simple block designs in the approximate design theory
• General differential and Lagrangian theory for optimal experimental design
• General equivalence theory for optimum designs (approximate theory)
• The life and work of Gustav Elfving.
• Minimax designs in linear regression models
• Geometry of \(E\)-optimality
• Optimum extrapolation and interpolation designs. I, II
• Optimum Designs in Regression Problems
• The Equivalence of Two Extremum Problems
• Optimum Designs in Regression Problems, II
• Directional derivatives of optimality criteria at singular matrices in convex design theory
• Optimal design measures with singular information matrices
• Optimal Experimental Designs
• Two More Criteria Equivalent to D-Optimality of Designs
• Optimum Allocation in Linear Regression Theory
• Locally Optimal Designs for Estimating Parameters
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