We study the problem of estimability of means in undirected graphical Gaussian models with symmetry restrictions represented by a colored 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.
"Estimation of means in graphical Gaussian models with symmetries." Ann. Statist. 40 (2) 1061 - 1073, April 2012. https://doi.org/10.1214/12-AOS991