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Estimation of Unknown Object Measures in a Chemical Weighing Design with Correlated Errors

dc.contributor.authorGraczyk, Małgorzata
dc.contributor.authorCeranka, Bronisław
dc.date.accessioned2025-02-04T09:26:24Z
dc.date.available2025-02-04T09:26:24Z
dc.date.issued2024-09-23
dc.identifier.issn0208-6018
dc.identifier.urihttp://hdl.handle.net/11089/54491
dc.description.abstractIn this paper, some problems that concern the determining of unknown measurements of objects in the model of a chemical balance weighing design are presented. These designs are tested under the assumption that measurement errors are correlated and have the same variances. The relations between the parameters of a weighing design are considered from the point of view of the D-optimality criterion. We give some conditions determining the dependencies between the parameters of such designs and construction examples.en
dc.description.abstractW artykule przedstawiono problemy dotyczące wyznaczenia nieznanych miar obiektów w modelu chemicznego układu wagowego. Układy te są analizowane przy założeniu, że błędy pomiarów są skorelowane i mają jednakowe wariancje. Zależności pomiędzy parametrami układów są analizowane z punktu widzenia kryterium D-optymalności. Podane zostały warunki określające parametry układów oraz przykładowe konstrukcje.pl
dc.language.isoen
dc.publisherWydawnictwo Uniwersytetu Łódzkiegopl
dc.relation.ispartofseriesActa Universitatis Lodziensis. Folia Oeconomica;368en
dc.rights.urihttps://creativecommons.org/licenses/by/4.0
dc.subjectchemical balance weighing designen
dc.subjectD-efficient designen
dc.subjectD-optimal designen
dc.subjectchemiczny układ wagowypl
dc.subjectukład D-efektywnypl
dc.subjectukład D-optymalnypl
dc.titleEstimation of Unknown Object Measures in a Chemical Weighing Design with Correlated Errorsen
dc.title.alternativeEstymacja nieznanych miar obiektów w chemicznym układzie wagowym ze skorelowanymi błędamipl
dc.typeArticle
dc.page.number36-45
dc.contributor.authorAffiliationGraczyk, Małgorzata - Poznań University of Life Sciences, Faculty of Agronomy and Bioengineering, Department of Mathematical and Statistical Methods, Poznań, Polanden
dc.contributor.authorAffiliationCeranka, Bronisław - Poznań University of Life Sciences, Faculty of Agronomy and Bioengineering, Department of Mathematical and Statistical Methods, Poznań, Polanden
dc.identifier.eissn2353-7663
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dc.contributor.authorEmailGraczyk, Małgorzata - malgorzata.graczyk@up.poznan.pl
dc.contributor.authorEmailCeranka, Bronisław - bronislaw.ceranka@up.poznan.pl
dc.identifier.doi10.18778/0208-6018.368.02
dc.relation.volume3


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