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Optimal Shrinkage Estimation of Variances With Applications to Microarray Data Analysis

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  • Tong, Tiejun
  • Wang, Yuedong

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  • Tong, Tiejun & Wang, Yuedong, 2007. "Optimal Shrinkage Estimation of Variances With Applications to Microarray Data Analysis," Journal of the American Statistical Association, American Statistical Association, vol. 102, pages 113-122, March.
    • Handle: RePEc:bes:jnlasa:v:102:y:2007:p:113-122
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    Citations

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    Cited by:

    1. Tae-Hwan Kim & Christophe Muller, 2020. "Inconsistency transmission and variance reduction in two-stage quantile regression," Post-Print hal-02084505, HAL.
    2. Zongliang Hu & Zhishui Hu & Kai Dong & Tiejun Tong & Yuedong Wang, 2021. "A shrinkage approach to joint estimation of multiple covariance matrices," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 84(3), pages 339-374, April.
    3. Ji Tieming & Liu Peng & Nettleton Dan, 2012. "Borrowing Information Across Genes and Experiments for Improved Error Variance Estimation in Microarray Data Analysis," Statistical Applications in Genetics and Molecular Biology, De Gruyter, vol. 11(3), pages 1-29, May.
    4. Herbert Pang & Tiejun Tong & Hongyu Zhao, 2009. "Shrinkage-based Diagonal Discriminant Analysis and Its Applications in High-Dimensional Data," Biometrics, The International Biometric Society, vol. 65(4), pages 1021-1029, December.
    5. Jiajin Wei & Ping He & Tiejun Tong, 2024. "Estimating the Reciprocal of a Binomial Proportion," International Statistical Review, International Statistical Institute, vol. 92(1), pages 1-16, April.
    6. J. T. Gene Hwang & Jing Qiu & Zhigen Zhao, 2009. "Empirical Bayes confidence intervals shrinking both means and variances," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 71(1), pages 265-285, January.
    7. Tong, Tiejun & Jang, Homin & Wang, Yuedong, 2012. "James–Stein type estimators of variances," Journal of Multivariate Analysis, Elsevier, vol. 107(C), pages 232-243.
    8. Yeil Kwon & Zhigen Zhao, 2023. "On F-modelling-based empirical Bayes estimation of variances," Biometrika, Biometrika Trust, vol. 110(1), pages 69-81.
    9. Qiu Jing & Qi Yue & Cui Xiangqin, 2014. "Applying shrinkage variance estimators to the TOST test in high dimensional settings," Statistical Applications in Genetics and Molecular Biology, De Gruyter, vol. 13(3), pages 323-341, June.
    10. Dazard, Jean-Eudes & Sunil Rao, J., 2012. "Joint adaptive mean–variance regularization and variance stabilization of high dimensional data," Computational Statistics & Data Analysis, Elsevier, vol. 56(7), pages 2317-2333.
    11. Bing-Yi Jing & Zhouping Li & Guangming Pan & Wang Zhou, 2016. "On SURE-Type Double Shrinkage Estimation," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 111(516), pages 1696-1704, October.
    12. Song Huang & Tiejun Tong & Hongyu Zhao, 2010. "Bias-Corrected Diagonal Discriminant Rules for High-Dimensional Classification," Biometrics, The International Biometric Society, vol. 66(4), pages 1096-1106, December.
    13. Xiao Min & Chen Ting & Huang Kunpeng & Ming Ruixing, 2020. "Optimal Estimation for Power of Variance with Application to Gene-Set Testing," Journal of Systems Science and Information, De Gruyter, vol. 8(6), pages 549-564, December.
    14. Dong, Kai & Pang, Herbert & Tong, Tiejun & Genton, Marc G., 2016. "Shrinkage-based diagonal Hotelling’s tests for high-dimensional small sample size data," Journal of Multivariate Analysis, Elsevier, vol. 143(C), pages 127-142.

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