Local optimality of replications from a minimal D-optimal design in regression: A sufficient and quasi-necessary condition

DOI10.1016/0378-3758(91)90003-WzbMath0746.62071OpenAlexW2031992999MaRDI QIDQ1193959

Jean-Pierre Vila

Publication date: 27 September 1992

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

Full work available at URL: https://doi.org/10.1016/0378-3758(91)90003-w

zbMATH Keywords

strong local optimalityreplicated designsMichaelis-Menten modelfirst order decay modellinear regression on unit simplexminimal exact \(D\)-optimal design

Mathematics Subject Classification ID

Optimal statistical designs (62K05) General nonlinear regression (62J02) Numerical optimization and variational techniques (65K10)

Related Items

Optimal and efficient designs for 2-parameter nonlinear models, Optimal design for nonlinear regression models, Optimal designs based on exact confidence regions for parameter estimation of a nonlinear regression model, D-optimal two-level orthogonal arrays for estimating main effects and some specified two-factor interactions, Computer-aided optimal designs for improving neural network generalization, Qualitative and quantitative experiment design for phenomenological models - a survey, Local optimality of replications from a minimal \(X\)-optimal design in regression: a sufficient and quasi-necessary condition

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On D-optimality of exact linear regression designs with minimum support
• The problem of the distribution of observations in polynomial regression
• DESIGN OF EXPERIMENTS IN NON-LINEAR SITUATIONS
• Optimum Designs in Regression Problems, II
• Maximum likelihood and least squares estimators for a non-linear model with heterogeneous variances
• Recent results in growth analysis
• On sequential and nonsequential D-optimal experimental design
• The Design of Experiments for Parameter Estimation