On the best linear unbiased estimator and the linear sufficiency of a general growth curve model

DOI10.1016/j.jspi.2011.02.021zbMath1213.62100OpenAlexW2011848872MaRDI QIDQ538121

Guang-Jing Song

Publication date: 23 May 2011

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jspi.2011.02.021

zbMATH Keywords

parameter matrix

Mathematics Subject Classification ID

Estimation in multivariate analysis (62H12) Sufficient statistics and fields (62B05)

Related Items (1)

Equalities of various estimators in the general growth curve model and the restricted growth curve model

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On consistency, natural restrictions and estimability under classical and extended growth curve models
• Linear transformations preserving best linear unbiased estimators in a general Gauss-Markoff model
• Maximum likelihood estimators in multivariate linear normal models
• Representations of best linear unbiased estimators in the Gauss-Markoff model with a singular dispersion matrix
• Two matrix-based proofs that the linear estimator \(G y\) is the best linear unbiased estimator
• Gauss-Markov and weighted least-squares estimation under a general growth curve model
• Prediction of future observations in growth curve models. With discussion and a reply by the author
• Linear sufficiency with respect to a given vector of parametric functions
• An elementary development of the equation characterizing best linear unbiased estimators
• Growth curve analysis of complete and incomplete longitudinal data
• A generalized multivariate analysis of variance model useful especially for growth curve problems

This page was built for publication: On the best linear unbiased estimator and the linear sufficiency of a general growth curve model