Gao, Ming; Bai, Yueqian Quadratic estimates of variance components and admissibility. (Chinese. English summary) Zbl 1174.62421 J. Anhui Norm. Univ., Nat. Sci. 30, No. 1, 11-14 (2007). Summary: For linearly mixed models, variance components are important parameters. We mainly describe quadratic estimation of variance components with two variance components. Some properties of the class of quadratic estimators, such as unbiased, invariant estimation, admissibility and improving of nonnegativity, are also considered. MSC: 62H12 Estimation in multivariate analysis 62C15 Admissibility in statistical decision theory Keywords:linearly mixed models; invariant estimation PDFBibTeX XMLCite \textit{M. Gao} and \textit{Y. Bai}, J. Anhui Norm. Univ., Nat. Sci. 30, No. 1, 11--14 (2007; Zbl 1174.62421)