Counting process-based dimension reduction methods for censored outcomes

Qiang Sun, Ruoqing Zhu, Tao Wang, Donglin Zeng

Research output: Contribution to journalArticle

Abstract

We propose counting process-based dimension reduction methods for right-censored survival data. Semiparametric estimating equations are constructed to estimate the dimension reduction subspace for the failure time model. Our methods address two limitations of existing approaches. First, using the counting process formulation, they do not require estimation of the censoring distribution to compensate for the bias in estimating the dimension reduction subspace. Second, the nonparametric estimation involved adapts to the structural dimension, so our methods circumvent the curse of dimensionality. Asymptotic normality is established for the estimators. We propose a computationally efficient approach that requires only a singular value decomposition to estimate the dimension reduction subspace. Numerical studies suggest that our new approaches exhibit significantly improved performance. The methods are implemented in the {R} package {orthoDr}.

Original languageEnglish (US)
Pages (from-to)181-186
Number of pages6
JournalBiometrika
Volume106
Issue number1
DOIs
StatePublished - Mar 1 2019

Fingerprint

Dimension-reduction Subspaces
Counting Process
Dimension Reduction
Reduction Method
Censored Survival Data
Right-censored Data
Curse of Dimensionality
Estimating Equation
Failure Time
Nonparametric Estimation
Censoring
Singular value decomposition
Asymptotic Normality
Estimate
Numerical Study
methodology
Estimator
Formulation
Dimension reduction
Counting process

Keywords

  • Estimating equation
  • Semiparametric inference
  • Sliced inverse regression
  • Sufficient dimension reduction
  • Survival analysis

ASJC Scopus subject areas

  • Statistics and Probability
  • Mathematics(all)
  • Agricultural and Biological Sciences (miscellaneous)
  • Agricultural and Biological Sciences(all)
  • Statistics, Probability and Uncertainty
  • Applied Mathematics

Cite this

Counting process-based dimension reduction methods for censored outcomes. / Sun, Qiang; Zhu, Ruoqing; Wang, Tao; Zeng, Donglin.

In: Biometrika, Vol. 106, No. 1, 01.03.2019, p. 181-186.

Research output: Contribution to journalArticle

Sun, Qiang ; Zhu, Ruoqing ; Wang, Tao ; Zeng, Donglin. / Counting process-based dimension reduction methods for censored outcomes. In: Biometrika. 2019 ; Vol. 106, No. 1. pp. 181-186.
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