Results 221 to 230 of about 18,151 (241)

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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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
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ceranka, B., Katulska, K.
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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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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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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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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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A-optimal Chemical Balance Weighing Designs with Diagonal Covariance Matrix of Errors

2001
The paper deals with the problem of estimating the weights of objects using an A-optimal chemical balance weighing design with the covariance matrix of errors o2G, where G is an n x n known positive definite diagonal matrix. A lower bound of tr(X’G-1X)-1is obtained and a necessary and sufficient condition for this lower bound to be attained is given ...
B. Ceranka, K. Katulska
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Notes about singular chemical balance weighing design

2012
W literaturze omawiającej zagadnienia optymalnej estymacji nieznanych miar obiektów w modelu chemicznego układu wagowego przyjmuje się założenie, że układ jest nieosobliwy. Autorzy w pracy odpowiadają na pytanie co zrobić, gdy macierz układu nie jest macierzą pełnego rzędu kolumnowego.
Ceranka, Bronisław, Graczyk, Małgorzata   +1 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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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
openaire   +1 more source