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Improving Henderson's Method 3 Approach when Estimating Variance Components in a Two-way Mixed Linear Model

Razaw al Sarraj () and Dietrich von Rosen ()
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Razaw al Sarraj: Department of Energy and Technology
Dietrich von Rosen: Department of Energy and Technology

A chapter in Statistical Inference, Econometric Analysis and Matrix Algebra, 2009, pp 125-142 from Springer

Abstract: Abstract A two-way linear mixed model, consisting of three variance components, σ1 2, σ2 2 and σe 2 is considered. The variance component estimators are estimated using a well known non-iterative estimation procedure, Henderson's method 3. for σ2 1 we propose two modified estimators. The modification is carried out by perturbing the standard estimator, such that the obtained estimator is expected to perform better in terms of its mean square error.

Keywords: Mean Square Error; Variance Component; Unbiased Estimator; Estimate Variance Component; Unbalanced Data (search for similar items in EconPapers)
Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-7908-2121-5_9

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DOI: 10.1007/978-3-7908-2121-5_9

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