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The general multivariate Gauss-Markov model of the incomplete block design. (English) Zbl 1064.62079
Summary: The aim of the paper is to generalize testing and estimation for the multivariate standard incomplete block model [C. R. Rao and S. K. Mitra, , Sankhyā, Ser. A 33, 289–300 (1971; Zbl 0236.15005)] to the general multivariate Gauss-Markov incomplete block model with singular covariance matrix. The results of this paper can be applied to particular cases of the multivariate Gauss-Markov incomplete block model, including the Zyskind-Martin model [G. Zyskind and F. B. Martin, SIAM J. Appl. Math. 17, 1190–1202 (1969; Zbl 0193.47301)].

MSC:
62J05 Linear regression; mixed models
62K10 Statistical block designs
62H12 Estimation in multivariate analysis
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