\(D\)-optimal designs for weighted polynomial regression

DOI10.1016/S0378-3758(96)00183-8zbMath0917.62065OpenAlexW2064339291MaRDI QIDQ1367672

Ge-Chen Lin, Fu-Chuen Chang

Publication date: 1 October 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(96)00183-8

zbMATH Keywords

D-optimalitySturm-Liouville equationapproximate designSturm comparison theoremweighted polynomial regression

Mathematics Subject Classification ID

Optimal statistical designs (62K05)

Related Items (13)

Optimal allocation of time points for the random effects model ⋮ ComputingA-optimal Designs for Weighted Polynomial Regression by Taylor Expansion ⋮ \(D\)-optimal designs for combined polynomial and trigonometric regression on a partial circle ⋮ D-optimal designs for weighted polynomial regression. ⋮ A limit theorem of \(D\)-optimal designs for weighted polynomial regression ⋮ \(D\)-optimal designs for estimation of parameters in a simplex dispersion model with proportional data ⋮ A general approach to \(D\)-optimal designs for weighted univariate polynomial regression models ⋮ Some explicit solutions of \(c\)-optimal design problems for polynomial regression with no intercept ⋮ \(D\)-optimal designs for polynomial regression with exponential weight function ⋮ Optimal designs for rational models and weighted polynomial regression ⋮ Maximin designs for exponential growth models and heteroscedastic polynomial models ⋮ Robust Designs for Linear Mixed Effects Models ⋮ A note on optimal designs in weighted polynomial regression for the classical efficiency functions

Uses Software

• Mathematica

Cites Work

• The Equivalence of Two Extremum Problems
• Efficiency Problems in Polynomial Estimation
• Optimal Experimental Designs
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