The estimation problem of individual weights of objects in spring balance weighing design using the criterion of D-optimality is discussed. It is assumed that variances of errors are not equal and errors are not correlated. The upper bound of the determinant of the information matrix of estimators is obtained and the conditions for this upper bound to be attained are proved. Some methods of constructions regular D-optimal spring balance weighing designs are demonstrated.
AMS Subject Classification
Primary: 62K05 Secondary: 05B05
D-optimal design Spring balance weighing design
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