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Research article - Peer-reviewed, 2020

A new method for obtaining explicit estimators in unbalanced mixed linear models

von Rosen, Tatjana; von Rosen, Dietrich; Volaufova, Julia


The general unbalanced mixed linear model with two variance components is considered. Through resampling it is demonstrated how the fixed effects can be estimated explicitly. It is shown that the obtained nonlinear estimator is unbiased and its variance is also derived. A condition is given when the proposed estimator is recommended instead of the ordinary least squares estimator.


Linear mixed models; Explicit estimators; Ordinary least squares estimators; Maximum likelihood estimators; Abstract bootstrapping

Published in

Statistical Papers
2020, volume: 61, number: 1, pages: 371-383
Publisher: SPRINGER

Authors' information

von Rosen, Tatjana
Stockholm Univ
Swedish University of Agricultural Sciences, Department of Energy and Technology
von Rosen, Dietrich (Von Rosen, Dietrich)
Linköping University
Volaufova, Julia
LSU Hlth New Orleans

UKÄ Subject classification

Probability Theory and Statistics

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