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On the equality of the BLUPs under two linear mixed models

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  • Stephen Haslett
  • Simo Puntanen

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  • Stephen Haslett & Simo Puntanen, 2011. "On the equality of the BLUPs under two linear mixed models," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 74(3), pages 381-395, November.
    • Handle: RePEc:spr:metrik:v:74:y:2011:i:3:p:381-395
    DOI: 10.1007/s00184-010-0308-6
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    References listed on IDEAS

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    1. Rao, C. Radhakrishna, 1973. "Representations of best linear unbiased estimators in the Gauss-Markoff model with a singular dispersion matrix," Journal of Multivariate Analysis, Elsevier, vol. 3(3), pages 276-292, September.
    2. Anuradha Roy, 2008. "Computation aspects of the parameter estimates of linear mixed effects model in multivariate repeated measures set-up," Journal of Applied Statistics, Taylor & Francis Journals, vol. 35(3), pages 307-320.
    3. Stephen Haslett & Simo Puntanen, 2010. "Equality of BLUEs or BLUPs under two linear models using stochastic restrictions," Statistical Papers, Springer, vol. 51(2), pages 465-475, June.
    4. John Haslett & Stephen J. Haslett, 2007. "The Three Basic Types of Residuals for a Linear Model," International Statistical Review, International Statistical Institute, vol. 75(1), pages 1-24, April.
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    Cited by:

    1. Changli Lu & Yuqin Sun & Yongge Tian, 2018. "Two competing linear random-effects models and their connections," Statistical Papers, Springer, vol. 59(3), pages 1101-1115, September.
    2. Yongge Tian & Wenxing Guo, 2016. "On comparison of dispersion matrices of estimators under a constrained linear model," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 25(4), pages 623-649, November.
    3. Yongge Tian, 2017. "Transformation approaches of linear random-effects models," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 26(4), pages 583-608, November.
    4. Stephen Haslett & Jarkko Isotalo & Yonghui Liu & Simo Puntanen, 2014. "Equalities between OLSE, BLUE and BLUP in the linear model," Statistical Papers, Springer, vol. 55(2), pages 543-561, May.
    5. Tian, Yongge & Zhang, Xuan, 2016. "On connections among OLSEs and BLUEs of whole and partial parameters under a general linear model," Statistics & Probability Letters, Elsevier, vol. 112(C), pages 105-112.
    6. S. J. Haslett & X. Q. Liu & A. Markiewicz & S. Puntanen, 2020. "Some properties of linear sufficiency and the BLUPs in the linear mixed model," Statistical Papers, Springer, vol. 61(1), pages 385-401, February.
    7. B. Arendacká & S. Puntanen, 2015. "Further remarks on the connection between fixed linear model and mixed linear model," Statistical Papers, Springer, vol. 56(4), pages 1235-1247, November.
    8. Liu, Xin & Wang, Qing-Wen, 2013. "Equality of the BLUPs under the mixed linear model when random components and errors are correlated," Journal of Multivariate Analysis, Elsevier, vol. 116(C), pages 297-309.

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