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Orthogonal decompositions in growth curve models. (English) Zbl 1228.62065

Summary: This article shows the advantage of orthogonal decompositions in standard and extended growth curve models. Using this, the distribution of estimators of \(\rho\) and \(\sigma^2\) in the standard GCM with uniform correlation structure is derived. Also, the equivalence of Hu and von Rosen conditions in the extended GCM under mild conditions is shown.

MSC:

62H12 Estimation in multivariate analysis
62H10 Multivariate distribution of statistics
62J05 Linear regression; mixed models
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