Results 161 to 170 of about 680 (186)

A NOTE ON OPTIMUM CHEMICAL BALANCE WEIGHING DESIGNS

Australian Journal of Statistics, 1974
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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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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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Technique of Constructing Optimum Chemical Balance Weighing Designs Using Symmetric Balanced Incomplete Block Designs

Rashmi Awad, Shakti Banerjee
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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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Notes on the Optimum Chemical Balance Weighing Design

2013
In the paper, the model of the chemical balance weighing design, i.e. model in that the result of experiment we can describe as linear function of unknown measurements of objects with known factors, is presented. Additionally, we assume that the measurement errors are uncorrelated and they have different variances.
Ceranka, Bronisław, Graczyk, Małgorzata   +1 more
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Some construction of optimum chemical balance weighing designs

2012
W pracy podano nową metodę konstrukcji optymalnych chemicznych układów wagowych wykorzystujące relacje pomiędzy macierzami incydencji częściowo zrównoważonych układów o blokach niekompletnych z podzielnymi grupami o takich samych schematach partnerstwa a macierzą chemicznego układu wagowego.
Ceranka, Bronisław, Graczyk, Małgorzata   +1 more
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Constructions of Optimum Chemical Balance Weighing Designs Based on Balanced Block Designs

2016
The paper is studying the problem of estimation of the individual unknown measurements (weights) of p objects when we have at our disposal n measurement operations (weighings). In this problem we use the linear model called chemical balance weighing design under the restriction on the number times in which each object is measured. A lower bound for the
Ceranka, Bronisław, Graczyk, Małgorzata   +1 more
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Balanced Block Designs Leading to the Optimum Chemical Balance Weighing Design with Equal Correlations of Errors

2016
W artykule rozważa się zagadnienie estymacji nieznanych miar poszczególnych obiektów w chemicznym układzie wagowym. Zakłada się, że nie w każdej operacji pomiaru wszystkie przedmioty są uwzględniane oraz że błędy mają jednakowe wariancje i są równo skorelowane.
Ceranka, Bronisław, Graczyk, Małgorzata   +1 more
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Note on the optimum chemical balance weighing design for odd number of objects

2016
The problem of the estimation of unknown weights of p objects is considered. The experiment is carry out according to the model of the chemical balance weighing design under the assumption that the measurement errors are correlated. The existence conditions determining the optimum design are presented.
Ceranka, Bronisław, Graczyk, Małgorzata   +1 more
openaire   +1 more source