Quadratic estimation in mixed linear models with two variance components

DOI10.1016/0378-3758(83)90045-9zbMath0561.62064OpenAlexW2040342616MaRDI QIDQ2266552

Jürgen Kleffe, Stanisław Gnot

Publication date: 1983

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-3758(83)90045-9

zbMATH Keywords

Explicit expressionsBayes invariant quadratic estimatesunbalanced genetic model

Mathematics Subject Classification ID

Linear inference, regression (62J99) Analysis of variance and covariance (ANOVA) (62J10) Admissibility in statistical decision theory (62C15)

Related Items (17)

On geometry of the set of admissible invariant quadratic estimators in balanced two variance components model ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On minimum biased quadratic estimators ⋮ On locally optimal invariant unbiased tests for the variance components ratio in mixed linear models ⋮ On admissible invariant estimators of variance components which dominate unbiased invariant estimators ⋮ Jordan algebras and Bayesian quadratic estimation of variance components ⋮ Bayes invariant quadratic estimation in general linear regression models ⋮ On the characterization of nonegatively estimable linear combinations of variance components ⋮ Lattices of Jordan algebras ⋮ Estimation of Variance Components for a Linear Toeplitz Model ⋮ Variance component estimation in multiple regression models having a nested error structure ⋮ Limiting admissible estimators for variance components ⋮ Nonnegative estimation of variance components in unbalanced mixed models with two variance components ⋮ Quadratic estimation of variance components in mixed block designs ⋮ Nonnegativity of admissible invariant quadratic estimates in mixed linear models with two variance components ⋮ Tests Based on Admissible Estimators in Two Variance Components Models

Cites Work

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• Linear Spaces and Minimum Variance Unbiased Estimation
• Quadratic Subspaces and Completeness

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