Geodesic
The two-dimensional linear relation in the errors-in-variables model with replication of one variable
Applicationes Mathematicae, Tome 27 (2000) no. 3, pp. 335-342.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We present a two-dimensional linear regression model where both variables are subject to error. We discuss a model where one variable of each pair of observables is repeated. We suggest two methods to construct consistent estimators: the maximum likelihood method and the method which applies variance components theory. We study asymptotic properties of these estimators. We prove that the asymptotic variances of the estimators of regression slopes for both methods are comparable.
DOI : 10.4064/am-27-3-335-342
Keywords: consistent estimator, linear regression

Anna Czapkiewicz 1 ; Antoni Dawidowicz 1

1 
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Anna Czapkiewicz; Antoni Dawidowicz. The two-dimensional linear relation in the errors-in-variables model with replication of one variable. Applicationes Mathematicae, Tome 27 (2000) no. 3, pp. 335-342. doi : 10.4064/am-27-3-335-342. http://geodesic.mathdoc.fr/articles/10.4064/am-27-3-335-342/

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