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We discuss some methods of estimation in bivariate errors-invariables linear models. We also suggest a method of constructing consistent estimators in the case when the error disturbances have the normal distribution with unknown parameters. It is based on the theory of estimating variance components in linear models. A simulation study is presented which compares this estimator with the maximum likelihood one. 1991 Mathematics Subject Classification: Primary 62J05.doi:10.4064/am-25-4-401-410 fatcat:mmdc2qfk45affmppc47unhs2cq