Chen, Jianbo; Xiang, Liming; Deng, Qirong The relative efficiencies of LSE in growth curve models. (Chinese. English summary) Zbl 0969.62041 J. Syst. Sci. Math. Sci. 20, No. 1, 106-111 (2000). Summary: Consider the general growth curve model \[ Y=XBZ+ \varepsilon,\;\vec\varepsilon \sim(0,\sigma^2 V\otimes\Sigma),\;V\geq 0,\;\Sigma \geq 0. \] When the parameter matrix \(B\) is estimable, six kinds of efficiences of LSE relative to the BLUE of \(B\) are proposed, and their lower bounds are given. In the general case, two kinds of relative efficiencies of LSE to BLUE of \(XBZ\) are proposed, and their lower bounds are also given. MSC: 62H12 Estimation in multivariate analysis Keywords:least squares estimator; best linear unbiased estimator; efficiency; growth curve model; LSE; BLUE PDFBibTeX XMLCite \textit{J. Chen} et al., J. Syst. Sci. Math. Sci. 20, No. 1, 106--111 (2000; Zbl 0969.62041)