Quadratic unbiased estimation without invariance and its application in the unbalanced one-way random model

DOI10.1016/0378-3758(91)90079-TzbMath0744.62097OpenAlexW2117696553MaRDI QIDQ1174650

Czesław Stȩpniak

Publication date: 25 June 1992

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(91)90079-t

zbMATH Keywords

variance componentsexplicit formulaevariancesgeneral mixed modelunbalanced one-way random modelLehmann-Scheffé theoremlocally best invariant quadratic unbiased estimatorlocally best quadratic unbiased estimatorswithout invariance

Mathematics Subject Classification ID

Estimation in multivariate analysis (62H12) Analysis of variance and covariance (ANOVA) (62J10)

Related Items (1)

Inverting covariance matrices in unbalanced hierarchical models^∗

Cites Work

• A complete class for linear estimation in a general linear model
• On admissibility in various classes of quadratic estimators
• Computation of variance components by the MINQUE method
• On recent progress of minque theory nonnegative estimation, consistency, asymptotic normality and explicite formulae¹
• Some Results on the Estimation of Variance Components by MINQUE
• A note on ∞manque in variance covariance components models
• Minimum Variance Quadratic Unbiased Estimation (MIVQUE) of Variance Components
• Über die schätzmethode minque von C. R. Rao und ihre veraugemeinerung
• On Canonical Forms, Non-Negative Covariance Matrices and Best and Simple Least Squares Linear Estimators in Linear Models
• Linear Spaces and Minimum Variance Unbiased Estimation
• Linear Spaces and Unbiased Estimation
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