On the weighted least-squares, the ordinary least-squares and the best linear unbiased estimators under a restricted growth curve model

DOI10.1007/s00362-012-0483-9zbMath1297.62053OpenAlexW2109817025MaRDI QIDQ744758

Qing-Wen Wang, Guang-Jing Song

Publication date: 26 September 2014

Published in: Statistical Papers (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00362-012-0483-9

zbMATH Keywords

best linear unbiased estimatorordinary least-squares estimatorsrestricted growth curve modelweighted least-squares estimators

Mathematics Subject Classification ID

Asymptotic properties of parametric estimators (62F12) Estimation in multivariate analysis (62H12) Linear regression; mixed models (62J05)

Related Items (3)

Equalities of various estimators in the general growth curve model and the restricted growth curve model ⋮ ON EQUALITIES OF BLUES FOR A MULTIPLE RESTRICTED PARTITIONED LINEAR MODEL ⋮ Least squares estimator for \(\alpha\)-sub-fractional bridges

Cites Work

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• The matrix equations \(AX=C\), \(XB=D\)
• On the natural restrictions in the singular Gauss-Markov model
• On consistency, natural restrictions and estimability under classical and extended growth curve models
• A study of the influence of the natural restrictions on estimation problems in the singular Gauss-Markov model
• Representations of best linear unbiased estimators in the Gauss-Markoff model with a singular dispersion matrix
• Growth curve models and statistical diagnostics
• The general Gauss-Markov model with possibly singular dispersion matrix
• A note on a Manova model applied to problems in growth curve
• Growth curve analysis of complete and incomplete longitudinal data
• The Equation $AXB + CYD = E$ over a Principal Ideal Domain
• A generalized multivariate analysis of variance model useful especially for growth curve problems
• The theory of least squares when the parameters are stochastic and its application to the analysis of growth curves

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