Unified theory of least squares

DOI10.1080/03610927208827002zbMath0252.62037OpenAlexW2007830815MaRDI QIDQ5666016

C. Radhakrishna Rao

Publication date: 1973

Published in: Communications in Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610927208827002

Mathematics Subject Classification ID

Linear regression; mixed models (62J05)

Related Items (16)

Special generalized inverse matrices connected with the theory of unified least squares ⋮ A brief biography and appreciation of Calyampudi Radhakrishna Rao, with a bibliography of his books and papers ⋮ On the notion of orthogonal projection in a semi-Euclidean space ⋮ Convergence analysis of weighted expected residual method for nonlinear stochastic variational inequality problems ⋮ Representations of best linear unbiased estimators in the Gauss-Markoff model with a singular dispersion matrix ⋮ Rank invariance criterion and its application to the unified theory of least squares ⋮ Projections under seminorms and generalized Moore Penrose inverses ⋮ New insights into best linear unbiased estimation and the optimality of least-squares ⋮ Best affine unbiased representations of the fully restricted general Gauss--Markov model ⋮ Variance components and an additional experiment. ⋮ Two Kinds of Restricted Estimators in Singular Linear Regression ⋮ Least squares theory for possibly singular models ⋮ Sufficiency and completeness in the linear model ⋮ Mixed effect exponential linear model ⋮ Categorical information and the singular linear model ⋮ Linear sufficiency in the general Gauss-Markov model

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