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

Tatjana von Rosen (), Dietrich von Rosen () and Julia Volaufova ()
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Tatjana von Rosen: Stockholm University
Dietrich von Rosen: Swedish University of Agricultural Sciences
Julia Volaufova: Biostatistics Program, LSU Health - New Orleans, School of Public Health

Statistical Papers, 2020, vol. 61, issue 1, No 19, 383 pages

Abstract: Abstract 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.

Keywords: Linear mixed models; Explicit estimators; Ordinary least squares estimators; Maximum likelihood estimators; Abstract bootstrapping (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1007/s00362-017-0937-1

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