The inefficiency of least squares: Extensions of the Kantorovich inequality

From MaRDI portal
Publication:1077116

DOI10.1016/0024-3795(85)90056-4zbMath0594.62073OpenAlexW2120870507MaRDI QIDQ1077116

C. Radhakrishna Rao

Publication date: 1985

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(85)90056-4




Related Items

Antieigenvalues and antieigenvectors in statistics.Some Matrix Norm Kantorovich Inequalities and Their ApplicationsA brief proof on the generalized variance bound of the relative efficiency in statisticsKantorovich and Cauchy-Schwarz inequalities involving positive semidefinite matrices, and efficiency comparisons for a singular linear modelEquality conditions for matrix Kantorovich-type inequalitiesA brief biography and appreciation of Calyampudi Radhakrishna Rao, with a bibliography of his books and papersSome further matrix extensions of the Cauchy-Schwarz and Kantorovich inequalities, with some statistical applicationsA refined efficiency rate for ordinary least squares and generalized least squares estimators for a linear trend with autoregressive errorsOn the measures of multicollinearity in least squares regressionDr C R Rao's contributions to the advancement of economic scienceKantorovich-type inequalities and the measures of inefficiency of the GLSENew inequalities of the Kantorovich type for bounded linear operators in Hilbert spacesEfficiency comparisons between the OLSE and the BLUE in a singular linear modelThe inefficiency of the least squares estimator and its boundBounds for the trace of the difference of the covariance matrices of the OLSE and BLUEConstrained Kantorovich inequalities and relative efficiency of least squaresNew insights into best linear unbiased estimation and the optimality of least-squaresThe best linear unbiased estimator in a singular linear regression modelAn alternative form of the Watson efficiencyA survey of Cauchy-Schwarz and Kantorovich-type matrix inequalitiesThe inefficiency of least squares in Gauss-Markov and variance component models



Cites Work