Estimation of the first and second order parameters in regression models with special structure

DOI10.1016/0378-3758(92)90081-3zbMath0761.62089OpenAlexW2072304453MaRDI QIDQ1193985

Lubomir Kubáček

Publication date: 27 September 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(92)90081-3

zbMATH Keywords

nuisance parametersvariance components modelsmixed linear modelsblock triangular regression matrixlocally best unbiased linear estimatorlocally minimum variance quadratic unbiased invariant estimatorMINQE-theorymultistage structuresreplication modelssensitiveness

Mathematics Subject Classification ID

Estimation in multivariate analysis (62H12) Linear regression; mixed models (62J05)

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Cites Work

• General definition and decomposition of projectors and some applications to statistical problems
• Generalized inverse of linear transformations: A geometric approach
• On testing hypotheses regarding a class of covariance structures
• Simultaneous estimation of expectation and covarianee matrix in linear models²
• Statistische Methoden der Modellbildung, III
• Note on the estimation of parameters of the mean and the variance in $n$-stage linear models
• Estimating Heteroscedastic Variances in Linear Models
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