Volaufová, Júlia Estimation of parameters of mean and variance in two-stage linear models. (English) Zbl 0616.62091 Apl. Mat. 32, 1-8 (1987). The paper deals with the estimation of unknown vector parameter of mean and scalar parameters of variance as well in the two-stage linear model, which is a special type of the mixed linear model. A necessary and sufficient condition for the existence of uniformly best unbiased estimator of parameter of mean is given. Explicit formulas for these estimators and for the estimators of the parameters of variance as well are derived. Cited in 8 Documents MSC: 62J05 Linear regression; mixed models 62F10 Point estimation 62H12 Estimation in multivariate analysis 62J99 Linear inference, regression Keywords:vector parameter; mean; variance; two-stage linear model; mixed linear model; necessary and sufficient condition; existence; uniformly best unbiased estimator PDFBibTeX XMLCite \textit{J. Volaufová}, Apl. Mat. 32, 1--8 (1987; Zbl 0616.62091) Full Text: EuDML References: [1] J. Kleffe: Simultaneous estimation of expectation and covariance matrix in linear models. Math. Oper. Stat. Ser. Stat., No 3, Vol 9 (1978), 443-478. · Zbl 0415.62026 · doi:10.1080/02331887808801444 [2] J. Krč-Jediný: Private communication. [3] L. Kubáček: Efficient estimates of points in a net constructed in stages. Studia geoph. et geod., 15 (1971), 246-253. [4] C. R. Rao: Linear statistical inference and its applications. John Wiley, New York, 1973. · Zbl 0256.62002 [5] C. R. Rao: Estimation of variance and covariance components - MINQUE-theory. J. Multiv. Anal., 1 (1971), 257-275. · Zbl 0223.62086 · doi:10.1016/0047-259X(71)90001-7 [6] C. R. Rao J. Kleffe: Estimation of variance components. P. R. Krishnaiah Handbook of Statistics. Vol 1, North Holl. Publ. Comp., 1 - 40. · Zbl 0476.62058 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.