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- W1992879984 abstract "For the general linear mixed model ℱ: {y, X β + Zu + e, Σ}, where the fixed effects u and random effects e are correlated and the covariance matrix Σ may be singular. We establish a new explicit expression of the best linear unbiased predictors (BLUPs) and give the necessary and sufficient conditions for the BLUP of the predictable parameter function L β + Mu under the ℱ to remain BLUP under its misspecified model {y, X 0 β + Z 0 u + e, Σ 0}. We also derive the necessary and sufficient conditions for the BLUPs under the multiple partitioned linear mixed model {y, X 1 β 1 + X 2 β 2 + … +X k β k + Z 1 u 1 + Z 2 u 2 + … +Z k u k + e, Σ} to be the sum of BLUPs under its small models {y, X i β i + Z i u i + e, Σ i }, i = 1, 2,…, k." @default.
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- W1992879984 date "2013-10-02" @default.
- W1992879984 modified "2023-10-01" @default.
- W1992879984 title "The Equalities of BLUPs for Linear Combinations Under Two General Linear Mixed Models" @default.
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- W1992879984 doi "https://doi.org/10.1080/03610926.2011.633730" @default.
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