A note on Bayesian \(c\)-and \(D\)-optimal designs in nonlinear regression models

DOI10.1214/aos/1032526965zbMath0866.62046OpenAlexW2019963142MaRDI QIDQ1816981

Dette, Holger

Publication date: 29 January 1997

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aos/1032526965

zbMATH Keywords

geometric characterizationElfving's theoremgamma priorexponential growth modelBayesian \(c\)-optimality criterionBayesian \(D\)-optimality criterion

Mathematics Subject Classification ID

Optimal statistical designs (62K05) General nonlinear regression (62J02)

Related Items (17)

Bayesian Minimally SupportedD-Optimal Designs for an Exponential Regression Model ⋮ Elfving's theorem for \(R\)-optimality of experimental designs ⋮ Bayesian optimal designs for multi-factor nonlinear models ⋮ Goal-oriented optimal design of experiments for large-scale Bayesian linear inverse problems ⋮ Optimal design for prediction in multiresponse linear models based on rectangular confidence region ⋮ Fast estimation of expected information gains for Bayesian experimental designs based on Laplace approximations ⋮ A new characterization of Elfving's method for high dimensional computation ⋮ Geometric characterization of \(D\)-optimal designs for random coefficient regression models ⋮ On the Choice of a Prior for Bayesian D-Optimal Designs for the Logistic Regression Model with a Single Predictor ⋮ Optimal two-point designs for the michaelis-menten model with heteroscedastic errors ⋮ Sequential experimental design and response optimisation ⋮ Highly Efficient Designs for Logistic Models with Categorical Variables ⋮ Bayesian D-optimal design for logistic regression model with exponential distribution for random intercept ⋮ Maximind-optimal designs for binary longitudinal responses ⋮ Optimal designs for regression models with a constant coefficient of variation ⋮ Adaptive Bayesian prediction of reliability based on degradation process ⋮ A geometric method for singular c-optimal designs

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