Results 211 to 220 of about 7,340,270 (237)
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On Some Chemical Balance Weighing Designs
The Australian Journal of Statistics, 1971SummaryThe present paper deals with certain chemical balance weighing designs. The incidence matrices of BIB designs and balanced ternary designs have been used to construct these designs. Conditions have been obtained to make some of these designs “optimum”.
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A-optimal chemical balance weighing design with nonhomogeneity of variances of errors
Statistics and Probability Letters, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bronisław Ceranka +1 more
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Lithuanian Mathematical Journal, 1994
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ceranka, B., Katulska, K.
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ceranka, B., Katulska, K.
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Optimum chemical balance weighing designs for estimating the total weight
Communications in Statistics - Theory and Methods, 1988This 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).
Sanpei Kageyama
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Robustness of Optimal Chemical Balance Weighing Designs for Estimation of Total Weight
Communications in Statistics - Theory and Methods, 2012The 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 +1 more
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A-optimal chemical balance weighing design with correlated errors
Journal of Applied Mathematics and Computing, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ceranka, Bronisław +1 more
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On the My-Optimality of Chemical Balance Weighing Designs
Calcutta Statistical Association Bulletin, 1983In 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, 1983Sufficient conditions for the existence of certain optimum chemical balance weighing designs are investigated.
Kageyama, S., Saha, G. M.
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Chemical Balance Weighing Design with Different Variances of Errors
2005The 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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