Cox regression models with functional covariates for survival data

Research output: Contribution to journalArticle

Abstract

We extend the Cox proportional hazards model to cases when the exposure is a densely sampled functional process, measured at baseline. The fundamental idea is to combine penalized signal regression with methods developed for mixed effects proportional hazards models. The model is fit by maximizing the penalized partial likelihood, with smoothing parameters estimated by a likelihood-based criterion such as AIC or EPIC. The model may be extended to allow for multiple functional predictors, time varying coefficients, and missing or unequally spaced data. Methods were inspired by and applied to a study of the association between time to death after hospital discharge and daily measures of disease severity collected in the intensive care unit, among survivors of acute respiratory distress syndrome.

Original languageEnglish (US)
Pages (from-to)256-278
Number of pages23
JournalStatistical Modelling
Volume15
Issue number3
DOIs
StatePublished - Jun 4 2015

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Keywords

  • Cox proportional hazards model
  • Survival analysis
  • functional data analysis
  • intensive care unit
  • nonparametric statistics

ASJC Scopus subject areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty

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