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

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

Published in

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

SLU Authors

• von Rosen, Dietrich

  • Department of Energy and Technology, Swedish University of Agricultural Sciences
    
  • Linköping University

UKÄ Subject classification

Probability Theory and Statistics

Publication identifier

• DOI: https://doi.org/10.1007/s00362-017-0937-1

Permanent link to this page (URI)

https://res.slu.se/id/publ/105239