Recent accomplishments in weighing designs

The paper presents the results of research concerning on the estimation of individual weights of objects in spring balance weighing design. We consider D-optimal weighing design under assumption that the errors are uncorrelated and they have different variances. The upper bound of the determinant of...

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Bibliographic Details
Published in:Communications in statistics. Theory and methods 2021-11, Vol.50 (21), p.5013-5021
Main Authors: Graczyk, Małgorzata, Ceranka, Bronisław
Format: Article
Language:English
Subjects:
Balanced incomplete block design
D-optimal design
spring balance weighing design
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Summary:The paper presents the results of research concerning on the estimation of individual weights of objects in spring balance weighing design. We consider D-optimal weighing design under assumption that the errors are uncorrelated and they have different variances. The upper bound of the determinant of the information matrix of estimators is given and the conditions for this upper bound to be attained are proved. Some examples of the regular D-optimal spring balance weighing designs are demonstrated.
ISSN:0361-0926
1532-415X
DOI:10.1080/03610926.2019.1639748