A matrix inequality and its statistical application

DOI10.1016/S0024-3795(99)00283-9zbMath0993.15022MaRDI QIDQ1973923

Jiming Jiang

Publication date: 17 September 2002

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

eigenvaluesmaximum likelihoodmatrix inequalitystatistical inferencenonnegative definite matricesmixed linear models

Mathematics Subject Classification ID

Linear regression; mixed models (62J05) Point estimation (62F10) Miscellaneous inequalities involving matrices (15A45)

Related Items (4)

Mean squared error of empirical predictor. ⋮ Marginal and Conditional Multiple Inference for Linear Mixed Model Predictors ⋮ Mean-squared errors of small-area estimators under a unit-level multivariate model ⋮ Mixed model prediction and small area estimation. (With comments of P. Hall, D. Morales, C. N. Morris, J. N. K. Rao, and J. L. Eltinge)

Cites Work

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• Explicit maximum likelihood estimates from balanced data in the mixed model of the analysis of variance
• On unbiasedness of the empirical BLUE and BLUP
• That BLUP is a good thing: The estimation of random effects. With comments and a rejoinder by the author
• Linear models. Least squares and alternatives
• REML estimation: Asymptotic behavior and related topics
• Approximations for Standard Errors of Estimators of Fixed and Random Effect in Mixed Linear Models
• Hermitian Matrix Inequalities and a Conjecture
• The Estimation of the Mean Squared Error of Small-Area Estimators

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