Invariance of the BLUE under the linear fixed and mixed effects models | Zendy

Jarkko Isotalo | Zendy; Märt Möls | Zendy; Simo Puntanen | Zendy

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Invariance of the BLUE under the linear fixed and mixed effects models

Author(s) -

Jarkko Isotalo,

Märt Möls,

Simo Puntanen

Publication year - 2006

Publication title -

acta et commentationes universitatis tartuensis de mathematica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.276

H-Index - 6

eISSN - 2228-4699

pISSN - 1406-2283

DOI - 10.12697/acutm.2006.10.06

Subject(s) - best linear unbiased prediction , generalized linear mixed model , mathematics , fixed effects model , estimator , linear model , random effects model , mixed model , function (biology) , statistics , combinatorics , computer science , panel data , selection (genetic algorithm) , medicine , meta analysis , artificial intelligence , evolutionary biology , biology

We consider the estimation of the parametric function X1β1 under the partitioned linear fixed effects model y=X1β1+X2β2+ε and the linear mixed effects model y=X1β1+X2γ2+ε, where γ2 is considered to be a random vector. Particularly, we consider when the best linear unbiased estimator, BLUE, of X1β1 under the linear fixed effects model equals the corresponding BLUE under the linear mixed effects model.

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