\(E\)-optimal designs for polynomial regression without intercept

DOI10.1016/S0378-3758(95)00196-4zbMath0866.62045OpenAlexW2008925588MaRDI QIDQ1125982

Fu-Chuen Chang, Berthold Heiligers

Publication date: 24 July 1997

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0378-3758(95)00196-4

zbMATH Keywords

Chebyshev polynomialspolynomial regressiontotal positivityweak Chebyshev systemmean vectorapproximate designsoptimal weights\(c\)-optimal designs\(E\)-optimal designsequioscillating polynomialheteroscedastic setups

Mathematics Subject Classification ID

Optimal statistical designs (62K05) Best approximation, Chebyshev systems (41A50)

Related Items (10)

\(D\)-optimal designs for polynomial regression models through origin ⋮ ComputingA-optimal Designs for Weighted Polynomial Regression by Taylor Expansion ⋮ Exact \(D\)-optimal designs for polynomial regression without intercept ⋮ New optimal design criteria for regression models with asymmetric errors ⋮ Optimal Designs for Rational Function Regression ⋮ \(D\)-optimal designs for weighted polynomial regression -- a functional approach ⋮ Optimal designs for estimating individual coefficients in polynomial regression with no intercept ⋮ Some explicit solutions of \(c\)-optimal design problems for polynomial regression with no intercept ⋮ Unnamed Item ⋮ \(E\)-optimal designs for rational models

Cites Work

• A note on \(E\)-optimal designs for weighted polynomial regression
• Further characterizations of design optimality and admissibility for partial parameter estimation in linear regression
• Totally nonnegative moment matrices
• \(E\)-optimal designs in weighted polynomial regression
• Computing \(E\)-optimal polynomial regression designs.
• \(E\)-optimal designs for polynomial regression
• Equioscillation under nonuniqueness in the approximation of continuous functions
• Inequalities: theory of majorization and its applications
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: \(E\)-optimal designs for polynomial regression without intercept