Saturated locally optimal designs under differentiable optimality criteria

DOI10.1214/14-AOS1263zbMath1321.62097arXiv1411.7601MaRDI QIDQ2338919

John Stufken, Linwei Hu, Min Yang

Publication date: 27 March 2015

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

Full work available at URL: https://arxiv.org/abs/1411.7601

zbMATH Keywords

nonlinear modelChebyshev systemgeneralized linear modellocally optimal designcomplete class

Mathematics Subject Classification ID

Optimal statistical designs (62K05) Generalized linear models (logistic models) (62J12) General nonlinear regression (62J02)

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Cites Work

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• Complete classes of designs for nonlinear regression models and principal representations of moment spaces
• A note on the de la Garza phenomenon for locally optimal designs
• Optimal designs for tumor regrowth models
• Identifying locally optimal designs for nonlinear models: A simple extension with profound consequences
• On the de la Garza phenomenon
• Support points of locally optimal designs for nonlinear models with two parameters
• Optimal Designs for Dose-Finding Studies
• Optimal designs for generalized linear models with multiple design variables
• Optimal designs for the emax, log-linear and exponential models
• Mixed Models
• On Optimal Designs for Nonlinear Models: A General and Efficient Algorithm
• On a Theorem of Hoel and Levine on Extrapolation Designs
• Optimal Designs on Tchebycheff Points
• The Assessment of Tumour Response to Treatment
• Optimum Allocation in Linear Regression Theory
• Spacing of Information in Polynomial Regression