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Research article2020Peer reviewedOpen access

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

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

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

    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