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Generalized canonical correlation variables improved estimation in high dimensional seemingly unrelated regression models

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  • Zhao, Li
  • Xu, Xingzhong

Abstract

After defining generalized canonical correlation variable pairs, this study proposes a new estimator of regression coefficients in seemingly unrelated regression models. The properties of the estimator are also discussed. The results of simulations show that the proposed estimator outperforms the ordinary least squares estimator.

Suggested Citation

  • Zhao, Li & Xu, Xingzhong, 2017. "Generalized canonical correlation variables improved estimation in high dimensional seemingly unrelated regression models," Statistics & Probability Letters, Elsevier, vol. 126(C), pages 119-126.
    • Handle: RePEc:eee:stapro:v:126:y:2017:i:c:p:119-126
    DOI: 10.1016/j.spl.2017.02.037
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    References listed on IDEAS

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    1. Dufour, Jean-Marie & Khalaf, Lynda, 2002. "Exact tests for contemporaneous correlation of disturbances in seemingly unrelated regressions," Journal of Econometrics, Elsevier, vol. 106(1), pages 143-170, January.
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    10. Zellner, Arnold & Ando, Tomohiro, 2010. "A direct Monte Carlo approach for Bayesian analysis of the seemingly unrelated regression model," Journal of Econometrics, Elsevier, vol. 159(1), pages 33-45, November.
    11. Wang, Lichun & Lian, Heng & Singh, Radhey S., 2011. "On efficient estimators of two seemingly unrelated regressions," Statistics & Probability Letters, Elsevier, vol. 81(5), pages 563-570, May.
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    3. Shun Matsuura & Hiroshi Kurata, 2020. "Covariance matrix estimation in a seemingly unrelated regression model under Stein’s loss," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 29(1), pages 79-99, March.
    4. Jiang, Hong & Qian, Jianwei & Sun, Yuqin, 2020. "Best linear unbiased predictors and estimators under a pair of constrained seemingly unrelated regression models," Statistics & Probability Letters, Elsevier, vol. 158(C).
    5. Junqian Xu & Yuanyuan Wu, 2018. "A Comparative Study of the Role of Australia and New Zealand in Sustainable Dairy Competition in the Chinese Market after the Dairy Safety Scandals," IJERPH, MDPI, vol. 15(12), pages 1-24, December.
    6. Junqian Xu & Yong Liu & Liling Yang, 2018. "A Comparative Study of the Role of China and India in Sustainable Textile Competition in the U.S. Market under Green Trade Barriers," Sustainability, MDPI, vol. 10(5), pages 1-21, April.

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