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Kantorovich inequalities and efficiency comparisons for several classes of estimators in linear models. (English) Zbl 0887.62066
Summary: New matrix, determinant and trace versions of the Kantorovich inequality involving two positive definite matrices are presented. Some of these are used to study the efficiencies of minimum-distance estimators, generalized method-of-moments estimators and several estimators specific to longitudinal or panel-data analysis. They are also used to give upper bounds for the determinant and trace of the asymptotic variance matrix of a weighted least-squares estimator in the generalized linear model.
MSC:
62H12Multivariate estimation
62J05Linear regression