Categorical information and the singular linear model

DOI10.2307/3314668zbMath0464.62060OpenAlexW2138463353MaRDI QIDQ3915842

Andrey Feuerverger, Donald A. S. Fraser

Publication date: 1980

Published in: Canadian Journal of Statistics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/300da1703b079ecd8d4ab4e16b48af736c1f09ed

zbMATH Keywords

linear modelsingular variance matrixcategorical informationinference basenecessary reduction

Mathematics Subject Classification ID

Linear regression; mixed models (62J05) Point estimation (62F10)

Related Items (23)

A new approach to the concept of a strong unified-least-squares matrix ⋮ The general Gauss-Markov model with possibly singular dispersion matrix ⋮ Estimation in singular partitioned, reduced or transformed linear models ⋮ Local improvement of best linear unbiased estimation and admissibility under the weakly singular gauss-markov model ⋮ Estimating covariance in a growth curve model ⋮ Admissible linear estimation in the general Gauss-Markov model with respect to an arbitrary quadratic risk function ⋮ A matrix inequality and admissibility of linear estimators with respect to the mean square error matrix criterion ⋮ Admissible linear estimators in the general Gauss-Markov model ⋮ On the least squares distance between affine subspaces ⋮ Some further remarks on the singular linear model ⋮ Rank invariance criterion and its application to the unified theory of least squares ⋮ Characterizations of the best linear unbiased estimator in the general Gauss-Markov model with the use of matrix partial orderings ⋮ Inverse-partitioned-matrix method for the general Gauss-Markov model with linear restrictions ⋮ Criteria for the equality between ordinary least squares and best linear unbiased estimators under certain linear models ⋮ Orthogonality and Linear Sufficiency in Partitioned and Reduced Linear Models ⋮ A study of the influence of the natural restrictions on estimation problems in the singular Gauss-Markov model ⋮ Implied linear restrictions in the general Gauss-Markov model ⋮ On Admissibility of Linear Estimators with Respect to the Mean Square Error Matrix Criterion Under the General Mixed Linear Model ⋮ On the robustness of the linear hypothesis test procedure in the singular linear model with implied restrictions ⋮ Admissible linear estimators of an arbitrary vector of parametric functions in the general Gauss-Markov model ⋮ Changes in the general linear model: A unified approach ⋮ Estimation under a general partitioned linear model ⋮ On the foundations: Statistical models and inference

Cites Work

• Unnamed Item
• Estimation of parameters in a linear model
• On foundations for conditional probability with statistical models—When is a class of functions a function
• Least squares theory for possibly singular models
• Unified theory of least squares

This page was built for publication: Categorical information and the singular linear model