Estimation of Means in Graphical Gaussian Models with Symmetries

Details Estimation of Means in Graphical Gaussian Models with Symmetries Estimation of Means in Graphical Gaussian Models with Symmetries

2011-01-19

arxiv.org/abs/1101.3709v2

Mathematics

Statistics Theory

13 pages, 2 figures. Restructured main sections and added real data examples, results unchanged

Scientific paper

We study the problem of estimability of means in undirected graphical Gaussian models with symmetry restrictions represented by a coloured graph. Following on from previous studies, we partition the variables into sets of vertices whose corresponding means are restricted to being identical. We find a necessary and sufficient condition on the partition to ensure equality between the maximum likelihood and least-squares estimators of the mean.

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