Shape optimal design criterion in linear models

DOI10.1007/s001840100179zbMath1433.62224OpenAlexW2044795248MaRDI QIDQ745289

Alexander Yu. Zeigraev

Publication date: 14 October 2015

Published in: Metrika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s001840100179

zbMATH Keywords

classical linear regression modellimit maximin criterionline fit modelshape and distance stochastic optimality criteria

Mathematics Subject Classification ID

Linear regression; mixed models (62J05) Optimal statistical designs (62K05)

Related Items (3)

On DS-optimal design matrices with restrictions on rows or columns ⋮ \(DS\)-optimal designs for random coefficient first-degree regression model with heteroscedastic errors ⋮ Optimal designs for heteroscedastic regression models with two parameters

Cites Work

• Unnamed Item
• Stochastic ordering and Schur-convex functions in comparison of linear experiments
• Universal domination and stochastic domination: Estimation simultaneously under a broad class of loss functions
• Inequalities for the probability content of a rotated square and related convolutions
• Concentration inequalities for multivariate distributions. I: Multivariate normal distributions
• Multivariate dispersion orderings
• Inequalities for the probability content of a rotated ellipse and related stochastic domination results
• Theory of optimal designs
• A Theorem on Convex Sets with Applications
• Pitman Nearness, Distance Criterion and Optimal Regression Designs
• Linear Statistical Inference and its Applications
• Inequalities: theory of majorization and its applications
• Distance optimality design criterion in linear models
• Comparison of test vs. control treatments using distance optimality criterion.
• A stochastic characterization of Loewner optimality design criterion in linear models

This page was built for publication: Shape optimal design criterion in linear models