期刊文献+

一种生存数据非线性充分降维子空间估计的新方法 被引量:1

An approach to estimating nonlinear sufficient dimension reduction subspace for censored survival data
下载PDF
导出
摘要 给出了一种估计生存数据非线性充分降维子空间的新方法.利用再生核Hilbert空间性质以及双切片思想,建立广义特征谱分解问题与获得充分降维子空间的联系,以此估计生存时间和删失时间的联合非线性降维中心子空间.进一步结合SDR中心子空间的性质,通过联合SDR中心子空间来估计权重函数,在算法实现过程中,利用迭代思想,达到提高估计效率的目的.最后通过数值模拟来说明该方法的优良性. An approach was proposed to estimating the nonlinear sufficient dimension reduction(SDR)subspace for survival data with censorship.Based on the theory of reproducing kernel Hilbert spaces(RKHS)and the double slicing procedure,the joint nonlinear sufficient dimension reduction central subspace was estimated by means of the generalized eigen-decomposition equation.And the weight function was estimated by the definition and property of SDR central subspace.The efficiency was improved by the iteration method while the algorithm was being implemented.Finally,the performance of the proposed method was illustrated on simulated data.
出处 《中国科学技术大学学报》 CAS CSCD 北大核心 2015年第9期709-716,共8页 JUSTC
基金 安徽省自然科学基金(1308085MA02) 中国科学院知识创新工程(KJCX3-SYW-S02)资助
关键词 再生核HILBERT空间 充分降维 切片逆回归 生存数据 RKHS sufficient dimension reduction sliced inverse regression survival data
  • 相关文献

参考文献10

  • 1Ker-Chau Li.Sliced inverse regression for dimension reduction. (With discussions). Journal of the American Statistical Association . 1991
  • 2Lexin Li,Hongzhe Li.Dimension reduction methods for microarrays with application to censored survival data. Bioinformatics . 2004
  • 3Yingcun Xia,Dixin Zhang,Jinfeng Xu.Dimension Reduction and Semiparametric Estimation of Survival Models. Journal of the American Statistical Association . 2010
  • 4Wenxuan Zhong,Peng Zeng,Ping Ma,Jun S Liu,Yu Zhu.RSIR: regularized sliced inverse regression for motif discovery. Bioinformatics . 2005
  • 5Ker-Chau Li,Jane-Ling Wang,Chun-Houh Chen.Dimension reduction for censored regression data. The Annals of Statistics . 1999
  • 6W Lu,L Li.Sufficient dimension reduction for censored regressions. Biometrics . 2011
  • 7Bender Ralf,Augustin Thomas,Blettner Maria.Generating survival times to simulate Cox proportional hazards models. Statistics in Medicine . 2005
  • 8Lexin Li,Xiangrong Yin.Sliced inverse regression with regularizations. Biometrics . 2008
  • 9Cox D R.Regression models and life-tables. Breakthroughs in Statistics . 1992
  • 10Cook R D.Regression Graphics:Ideas for Studying Regressions Through Graphics. . 1998

引证文献1

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部