Results 221 to 230 of about 133,724 (254)

A-optimal chemical balance weighing design with correlated errors

Journal of Applied Mathematics and Computing, 2004
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Ceranka, Bronisław, Graczyk, Małgorzata   +1 more
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Optimum chemical balance weighing designs under the restriction on weighings

Discussiones Mathematicae Probability and Statistics, 2001
The problem addressed here is concerned with estimating individual weights of objects by using a chemical balance weighing design under the constraint on the number in which each object is weighed. The model for a chemical balance design is \(y(n\times 1)= x(n\times p)w(p\times 1)+ e(n\times 1)\), when \(y\) is a vector of observations, \(x\) is the ...
Ceranka, Bronisław, Graczyk, Małgorzata   +1 more
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Use of balanced bipartite weighing designs as chemical balance designs

Communications in Statistics - Theory and Methods, 1982
This paper deals with the use of balanced bipartite weighing designs as chemical balance designs when there Is a restriction on the number of objects that can be placed on either pan..The variance of each estimated weight and the covarlance of each pair of estimated weights are worked out.The use of additional weighing when the design matrix is ...
M. N. Swamy
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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.
M. Jacroux
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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-optimal chemical balance weighing design with nonhomogeneity of variances of errors

Statistics & Probability Letters, 2006
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Ceranka, Bronisław, Graczyk, Małgorzata, Katulska, Krystyna   +2 more
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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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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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