New insights into best linear unbiased estimation and the optimality of least-squares

Mario Faliva and Maria Zoia

Journal of Multivariate Analysis, 2006, vol. 97, issue 3, 575-585

Abstract: New results in matrix algebra applied to the fundamental bordered matrix of linear estimation theory pave the way towards obtaining additional and informative closed-form expressions for the best linear unbiased estimator (BLUE). The results prove significant in several respects. Indeed, more light is shed on the BLUE structure and on the working of the OLS estimator under nonsphericalness in (possibly) singular models.

Keywords: BLUE; closed-forms; Nonsphericalness; OLS; optimality (search for similar items in EconPapers)
Date: 2006
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