Simultaneous optimality of LSE and ANOVA estimate in general mixed models

DOI10.1007/s10114-008-6220-6zbMath1147.62058OpenAlexW2065026427MaRDI QIDQ953226

Yu, Kai Fun, Song-Gui Wang, Mi-Xia Wu

Publication date: 17 November 2008

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-008-6220-6

zbMATH Keywords

linear mixed modelminimum variance unbiased estimateuniformly most powerful unbiased testleast squares estimateanalysis of variance estimate

Mathematics Subject Classification ID

Estimation in multivariate analysis (62H12) Parametric tolerance and confidence regions (62F25) Parametric hypothesis testing (62F03) Point estimation (62F10) Analysis of variance and covariance (ANOVA) (62J10)

Uses Software

• pyuvdata

Cites Work

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• On analysis of variance in the mixed model
• Linear mixed models and penalized least squares
• Simultaneous optimal estimates of fixed effects and variance components in the mixed model
• Theorems Concerning Eisenhart's Model II
• The Effect of Variance Function Estimation on Nonlinear Calibration Inference in Immunoassay Data
• Quadratic Subspaces and Completeness
• The interpretation of negative components of variance
• Necessary and sufficient conditions for explicit solutions in the multivariate normal estimation problem for patterned means and covariances

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