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Optimum chemical balance weighing designs with diagonal variance-covariance matrix of errors

100%

Ceranka B., Graczyk M.

Discussiones Mathematicae Probability and Statistics

2004

tom 24

nr 2

215-232

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 bound is attained by the variance of each of the estimated measurements. To construct the design matrix X of the considered optimum chemical balance weighing design we use the incidence matrices of balanced bipartite weighing designs.

Ograniczanie wyników

1 Discussiones Mathematicae Probability and Statistics

1 Ceranka B.

1 Graczyk M.

1 2004

Wyniki wyszukiwania

Optimum chemical balance weighing designs with diagonal variance-covariance matrix of errors