Optimality of Balanced Designs for Minimum Norm Quadratic Unbiased Estimation of Variance Components.
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Discussiones Mathematicae Probability and Statistics
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In this paper we study the estimation problem of individual measurements (weights) of objects in a model of chemical balance weighing design with diagonal variance - covariance matrix of errors under the restriction k₁ + k₂ < p, where k₁ and k₂ represent the number of objects placed on the right and left pans, respectively. We want all variances of estimated measurments to be equal and attaining their lower bound. We give a necessary and sufficient condition under which this lower...
Sumanda Bagchi (1994)
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Sudhir Gupta, Woo-Sun Lee, Sanpei Kageyama (1995)
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