A note on the estimation of total weight in chemical balance weighing designs |
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Authors: | Bronisław Ceranka Krystyna Katulska |
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Institution: | (1) Akademia Rolnicza w Poznaniu, Kat. Met. Mat. i Statyst., ul. Wojska Polskiego 28, PL-60-637 Poznań, Polen;(2) Uniwersytet im. A. Mickiewicza w Poznaniu, Inst. Mat., ul. Matejki 48/49, PL-60-769 Poznań, Polen |
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Abstract: | Summary This paper studies the problem of estimation of the total weight of objects using a chemical balance weighing design under
the restriction |L−R| ≤a, whereL andR represent the number of objects placed on the left and right pans, respectively. A lower bound for the variance of the estimated
total weight is given and a necessary and sufficient condition for this lower bound to be attained is obtained. Finally, weighing
designs for which this lower bound is attainable are constructed. |
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Keywords: | |
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