Conditional distance correlation sure independence screening for ultra-high dimensional survival data

References

• Barut, E., J. Fan, and A. Verhasselt. 2016. Conditional sure independence screening. Journal of the American Statistical Association 111 (515):1266–77. doi: 10.1080/01621459.2015.1092974.
   PubMed Web of Science ®Google Scholar
• Chen, X. 2018. Model-free conditional feature screening for ultra-high dimensional right censored data. Journal of Statistical Computation and Simulation 88 (12):2425–46. doi: 10.1080/00949655.2018.1466142.
   Web of Science ®Google Scholar
• Chen, X., X. Chen, and H. Wang. 2018. Robust feature screening for ultra-high dimensional right censored data via distance correlation. Computational Statistics & Data Analysis 119:118–38. doi: 10.1016/j.csda.2017.10.004.
   Web of Science ®Google Scholar
• Chen, X., Y. Zhang, X. Chen, and Y. Liu. 2019. A simple model-free survival conditional feature screening. Statistics & Probability Letters 146:156–60. doi: 10.1016/j.spl.2018.11.019.
   Web of Science ®Google Scholar
• Cui, H., R. Li, and W. Zhong. 2015. Model-free feature screening for ultrahigh dimensional discriminant analysis. Journal of the American Statistical Association 110 (510):630–41. doi: 10.1080/01621459.2014.920256.
   PubMed Web of Science ®Google Scholar
• Fan, J., and J. Lv. 2008. Sure independence screening for ultrahigh dimensional feature space. Journal of the Royal Statistical Society: Series B (Statistical Methodology) 70 (5):849–911. doi: 10.1111/j.1467-9868.2008.00674.x.
   PubMed Web of Science ®Google Scholar
• Földes, A., and L. Rejtő. 1981. A lil type result for the product limit estimator. Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 56 (1):75–86. doi: 10.1007/BF00531975.
   Web of Science ®Google Scholar
• Gorst-Rasmussen, A., and T. Scheike. 2013. Independent screening for single-index hazard rate models with ultrahigh dimensional features. Journal of the Royal Statistical Society: Series B (Statistical Methodology) 75 (2):217–45. doi: 10.1111/j.1467-9868.2012.01039.x.
   Web of Science ®Google Scholar
• He, X., L. Wang, and H. Hong. 2013. Quantile-adaptive model-free variable screening for high-dimensional heterogeneous data. The Annals of Statistics 41 (1):342–69. doi: 10.1214/13-AOS1087.
   Web of Science ®Google Scholar
• Hong, H.,. J. Kang, and Y. Li. 2018. Conditional screening for ultra-high dimensional covariates with survival outcomes. Lifetime Data Analysis 24 (1):45–71. doi: 10.1007/s10985-016-9387-7.
   PubMed Web of Science ®Google Scholar
• Hu, Q., and L. Lin. 2017. Conditional sure independence screening by conditional marginal empirical likelihood. Annals of the Institute of Statistical Mathematics 69 (1):63–96. doi: 10.1007/s10463-015-0534-9.
   Web of Science ®Google Scholar
• Lai, P., Y. Liu, Z. Liu, and Y. Wan. 2017. Model free feature screening for ultrahigh dimensional data with responses missing at random. Computational Statistics & Data Analysis 105:201–16. doi: 10.1016/j.csda.2016.08.008.
   Web of Science ®Google Scholar
• Li, G., H. Peng, J. Zhang, and L. Zhu. 2012. Robust rank correlation based screening. The Annals of Statistics 40 (3):1846–77. doi: 10.1214/12-AOS1024.
   Web of Science ®Google Scholar
• Liu, J., R. Li, and R. Wu. 2014. Feature selection for varying coefficient models with ultrahigh-dimensional covariates. Journal of the American Statistical Association 109 (505):266–74. doi: 10.1080/01621459.2013.850086.
   PubMed Web of Science ®Google Scholar
• Liu, Y., and X. Chen. 2018. Quantile screening for ultra-high-dimensional heterogeneous data conditional on some variables. Journal of Statistical Computation and Simulation 88 (2):329–42. doi: 10.1080/00949655.2017.1389944.
   Web of Science ®Google Scholar
• Liu, Y., and Q. Wang. 2018. Model-free feature screening for ultrahigh-dimensional data conditional on some variables. Annals of the Institute of Statistical Mathematics 70 (2):283–301. doi: 10.1007/s10463-016-0597-2.
   Web of Science ®Google Scholar
• Lu, J., and L. Lin. 2017. Model-free conditional screening via conditional distance correlation. Statistical Papers 1–20. doi: 10.1007/s00362-017-0931-7.
   Google Scholar
• Rosenwald, Andreas, George Wright, Wing C. Chan, Joseph M. Connors, Elias Campo, Richard I. Fisher, Randy D. Gascoyne, H. Konrad Muller-Hermelink, Erlend B. Smeland, Jena M. Giltnane., et al. 2002. The use of molecular profiling to predict survival after chemotherapy for diffuse large b-cell lymphoma. New England Journal of Medicine 346 (25):1937–47.
   PubMed Web of Science ®Google Scholar
• Song, F., P. Lai, B. Chen, and G. Cheng. 2018. Variance ratio screening for ultrahigh dimensional discriminant analysis. Communications in Statistics - Theory and Methods 47 (24):6034–51. doi: 10.1080/03610926.2017.1406113.
   Web of Science ®Google Scholar
• Song, R., W. Lu, S. Ma, and X. Jeng. 2014. Censored rank independence screening for high-dimensional survival data. Biometrika 101 (4):799–814. doi: 10.1093/biomet/asu047.
   PubMed Web of Science ®Google Scholar
• Wang, H. 2009. Forward regression for ultra-high dimensional variable screening. Journal of the American Statistical Association 104 (488):1512–24. doi: 10.1198/jasa.2008.tm08516.
   Web of Science ®Google Scholar
• Wang, Q., and Y. Li. 2018. How to make model-free feature screening approaches for full data applicable to the case of missing response? Scandinavian Journal of Statistics 45 (2):324–46. doi: 10.1111/sjos.12290.
   Web of Science ®Google Scholar
• Wang, X., W. Pan, W. Hu, Y. Tian, and H. Zhang. 2015. Conditional distance correlation. Journal of The American Statistical Association 110 (512):1726–34. doi: 10.1080/01621459.2014.993081.
   PubMed Web of Science ®Google Scholar
• Wen, C., W. Pan, M. Huang, and X. Wang. 2018. Sure independence screening adjusted for confounding covariates with ultrahigh-dimensional data. Statistica Sinica 28:293–317. doi: 10.5705/ss.202014.0117.
   Web of Science ®Google Scholar
• Xu, C., and J. Chen. 2014. The sparse mle for ultrahigh-dimensional feature screening. Journal of the American Statistical Association 109 (507):1257–69. doi: 10.1080/01621459.2013.879531.
   PubMed Web of Science ®Google Scholar
• Zhang, J., Y. Liu, and Y. Wu. 2017. Correlation rank screening for ultrahigh-dimensional survival data. Computational Statistics & Data Analysis 108:121–32. doi: 10.1016/j.csda.2016.11.005.
   Web of Science ®Google Scholar
• Zhao, S., and Y. Li. 2012. Principled sure independence screening for cox models with ultra-high-dimensional covariates. Journal of Multivariate Analysis 105 (1):397–411. doi: 10.1016/j.jmva.2011.08.002.
   PubMed Web of Science ®Google Scholar