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Characterization of c‐, L‐ and Φk‐optimal designs for a class of non‐linear multiple‐regression models

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Optimal designs for multiple‐regression models are determined. We consider a general class of non‐linear models including proportional hazards models with different censoring schemes, the Poisson and the negative binomial model. For these models we provide a complete characterization of c‐optimal designs for all vectors c in the case of a single covariate. For multiple regression with an arbitrary number of covariates, c‐optimal designs for certain vectors c are derived analytically. Using some general results on the structure of optimal designs for multiple regression, we determine L‐ and Φk‐optimal designs for models with an arbitrary number of covariates.
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Keywords: L‐optimality; Multiple regression; Poisson model; Proportional hazards model with censored data; c‐optimality; Φk‐optimality

Document Type: Research Article

Publication date: February 1, 2019

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