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- W2149656302 abstract "In the investigation of the restricted linear model ℳ r = {y, X β | A β = b, σ2 Σ}, the parameter constraints A β = b are often handled by transforming the model into certain implicitly restricted model. Any estimation derived from the explicitly and implicitly restricted models on the vector β and its functions should be equivalent, although the expressions of the estimation under the two models may be different. However, people more likely want to directly compare different expressions of estimations and yield a conclusion on their equivalence by using some algebraic operations on expressions of estimations. In this article, we give some results on equivalence of the well-known OLSEs and BLUEs under the explicitly and implicitly restricted linear models by using some expansion formulas for ranks of matrices." @default.
- W2149656302 created "2016-06-24" @default.
- W2149656302 creator A5076561691 @default.
- W2149656302 date "2012-07-01" @default.
- W2149656302 modified "2023-10-14" @default.
- W2149656302 title "Characterizing Relationships Between Estimations Under a General Linear Model with Explicit and Implicit Restrictions by Rank of Matrix" @default.
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- W2149656302 doi "https://doi.org/10.1080/03610926.2011.594537" @default.
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