Results 131 to 140 of about 122,137 (146)

On the My-Optimality of Chemical Balance Weighing Designs

Calcutta Statistical Association Bulletin, 1983
In this paper we consider the problem of optimally weighing n objects with N weighings on a chemical balance. A design is said to be MV-optimal within the classes of designs considered if it minimizes the maximal variance of the least squares estimates of the weights. Several new results on the MV-optimality of chemical balance designs are given.
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Note on the construction of optimum chemical balance weighing designs

Annals of the Institute of Statistical Mathematics, 1983
Sufficient conditions for the existence of certain optimum chemical balance weighing designs are investigated.
Kageyama, S., Saha, G. M.
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Some observations on the constructions of chemical balance weighing designs

Discussiones Mathematicae Probability and Statistics, 2001
A configuration with \(v\) treatments and \(b\) blocks, each of size \(k\), is called a balanced incomplete block (BIB) design if every treatment appears in exactly \(r\) blocks and every two-element subset of treatments occurs in \(\lambda\) blocks. Furthermore, if the \(b\) blocks can be partitioned into \(t\) sets of \(m\) blocks each in a way that ...
Mohan, Ratnakaram Nava, Ceranka, Bronisław, Kageyama, Sanpei   +2 more
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Chemical Balance Weighing Design with Different Variances of Errors

2005
The paper is studying the estimation problem of individual weights of objects using a chemical balance weighing design under the restriction on the number of times in which each object is weighed. We assume that errors are uncorrelated with different variances.
Bronisław Ceranka, Małgorzata Graczyk
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A note on the relations between two ternary balanced block designs and chemical balance weighing designs

Discussiones Mathematicae Probability and Statistics, 2001
Summary: The paper studied the problem of estimation of the weights of \(p\) objects in \(n\) weighings using a chemical balance weighing design under restrictions on the number of objects which can be placed on the right and left pans, respectively. Conditions under which the estimated weights are uncorrelated are given.
Ambroży, Katarzyna, Ceranka, Bronisław
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Relations between optimum biased spring balance weighing designs and optimum chemical balance weighing designs with non-homogeneity of the variances of errors

Lithuanian Mathematical Journal, 1994
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Ceranka, B., Katulska, K.
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Optimum Chemical Balance Weighing Designs Under Equal Correlations of Errors

1998
The paper deals with the problem of estimating the individual weights of objects using a chemical balance weighing design with equal correlations of errors in the usual linear model. A lower bound for the variance of each of the estimated weights resulting from this chemical balance weighing design is obtained and a necessary and sufficient condition ...
B. Ceranka, K. Katulska
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Robustness of Optimal Chemical Balance Weighing Designs for Estimation of Total Weight

Communications in Statistics - Theory and Methods, 2012
The subject of our study is the chemical balance weighing design in which the errors are correlated and have equal variances. A lower bound for the variance of estimated total weight is obtained and the necessary and sufficient conditions for the attainability of this lower bound are given.
Bronisław Ceranka, Małgorzata Graczyk
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A-optimal chemical balance weighing design with nonhomogeneity of variances of errors

Statistics & Probability Letters, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ceranka, Bronisław, Graczyk, Małgorzata, Katulska, Krystyna   +2 more
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Optimum chemical balance weighing designs for estimating the total weight

Communications in Statistics - Theory and Methods, 1988
This deals with chemical balance weighing designs which attain a lower bound for the variance of the estimated total weight, The results extend those of Chacko Dey (1978).
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