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Unbiasedness of two-stage estimation and prediction procedures for mixed linear models

Kackar, Raghu N., Harville, David A.·1981·Communications in Statistics - Theory and Methods

Abstract

The traditional method for estimating or predicting linear combinations of the fixed effects and realized values of the random effects in mixed linear models is first to estimate the variance components and then to proceed as if the estimated values of the variance components were the true values. This two-stage procedure gives unbiased estimators or predictors of the linear combinations provided the data vector is symmetrically distributed about its expected value and provided the variance component estimators are translation-invariant and are even functions of the data vector. The standard procedures for estimating the variance components yield even, translation-invariant estimators.

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Metadata

Authors
Kackar, R. N., & Harville, D. A.
Venue
Communications in Statistics - Theory and Methods
Published
1981-01
Volume
10
Issue
13
Pages
1249-1261
ISSN
  • 0361-0926 (ISSN-L)
  • 1532-415X
OpenAlex
W2075588483
Cited by
159
References
1
FWCI
2.38
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: Unbiasedness of two-stage estimation and prediction procedures for mixed linear models. https://app.cochat.ai/papers/10.1080/03610928108828108
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Kackar, R. N., & Harville, D. A. (1981). Unbiasedness of two-stage estimation and prediction procedures for mixed linear models. Communications in Statistics - Theory and Methods. https://doi.org/10.1080/03610928108828108

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