On the relationship between the proportional hazards and accelerated failure time models in survival analysis

Ramesh C. Gupta, Joel E. Michalek

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

The slope parameters in the proportional hazards and accelerated failure time models are shown to be proportional if and only if the error variable in the accelerated failure time model has a generalized extreme value distribution. A differential equation relating the two score functions φ(u) and Φ(u) is established. The error distribution is characterized when φ (u) and Φ(u) are linearly related; subject to this restriction, censored data linear rank procedures are studied.

Original languageEnglish (US)
Pages (from-to)231-234
Number of pages4
JournalStatistics and Probability Letters
Volume3
Issue number5
DOIs
StatePublished - Sep 1985

Keywords

  • accelerated failure time model
  • proportional hazards model
  • survival analysis

ASJC Scopus subject areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty

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