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Some equalities for estimations of variance components in a general linear model and its restricted and transformed models

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  • Tian, Yongge
  • Liu, Chunmei

Abstract

For the unknown positive parameter [sigma]2 in a general linear model , the two commonly used estimations are the simple estimator (SE) and the minimum norm quadratic unbiased estimator (MINQUE). In this paper, we derive necessary and sufficient conditions for the equivalence of the SEs and MINQUEs of the variance component [sigma]2 in the original model [physics M-matrix (script capital m)], the restricted model , the transformed model , and the misspecified model .

Suggested Citation

  • Tian, Yongge & Liu, Chunmei, 2010. "Some equalities for estimations of variance components in a general linear model and its restricted and transformed models," Journal of Multivariate Analysis, Elsevier, vol. 101(9), pages 1959-1969, October.
    • Handle: RePEc:eee:jmvana:v:101:y:2010:i:9:p:1959-1969
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    Cited by:

    1. Yuqin Sun & Rong Ke & Yongge Tian, 2014. "Some overall properties of seemingly unrelated regression models," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 98(2), pages 103-120, April.

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