Supplementary notes on the least variance ratio estimator

Richard William Farebrother

Communications in Statistics - Theory and Methods, 2024, vol. 53, issue 4, 1354-1357

Abstract: In this paper we show how a variant of Stone and Brook’s continuum regression criterion may be used to define the least variance ratio estimator of the slope parameters of the simultaneous equations model of econometrics. As a by-product of this approach we identify a family of estimators (distinct from the family of k-class estimators) to which it and two variants of the orthogonal least squares estimator belong. We also take the opportunity to mention several features of linear unbiased scalar residuals omitted from an earlier paper.

Date: 2024
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DOI: 10.1080/03610926.2022.2100911

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