The paper deals with the problem of estimating individual weights of objects, using a chemical balance weighing design under the restriction on the number in which each object is weighed. A lower bound for the variance of each of the estimated weights from this chemical balance weighing design is obtained and a necessary and sufficient condition for this lower bound to be attained is given. The incidence matrix of ternary balanced block design is used to construct optimum chemical balance weighing design under the restriction on the number in which each object is weighed.
@article{bwmeta1.element.bwnjournal-article-doi-10_7151_dmps_1024,
author = {Bronis\l aw Ceranka and Ma\l gorzata Graczyk},
title = {Optimum chemical balance weighing designs under the restriction on weighings},
journal = {Discussiones Mathematicae Probability and Statistics},
volume = {21},
year = {2001},
pages = {111-120},
zbl = {1016.05009},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmps_1024}
}
Bronisław Ceranka; Małgorzata Graczyk. Optimum chemical balance weighing designs under the restriction on weighings. Discussiones Mathematicae Probability and Statistics, Tome 21 (2001) pp. 111-120. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmps_1024/
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