On the relationship between the proportional hazards and accelerated failure time models in survival analysis
type: Item
instance of: scholarly article
title: On the relationship between the proportional hazards and accelerated failure time models in survival analysis
zbMATH Open document ID: 0575.62014
DOI: 10.1016/0167-7152(85)90036-7
author: Ramesh C. Gupta
author: Joel E. Michalek
published in: Statistics \& Probability Letters
publication date: 1985-01-01T00:00:00Z
review text: 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 \(\phi\) (u) and \(\Phi\) (u) is established. The error distribution is characterized when \(\phi\) (u) and \(\Phi\) (u) are linearly related; subject to this restriction, censored data linear rank procedures are studied.
Mathematics Subject Classification ID: 62E10
Mathematics Subject Classification ID: 62N05
Mathematics Subject Classification ID: 62F03
zbMATH DE Number: 3919535
zbMATH Keywords: survival analysis
zbMATH Keywords: slope parameters
zbMATH Keywords: proportional hazards
zbMATH Keywords: accelerated failure time models
zbMATH Keywords: generalized extreme value distribution
zbMATH Keywords: differential equation
zbMATH Keywords: error distribution
zbMATH Keywords: censored data linear rank procedures
MaRDI profile type: Publication
full work available at URL: 0167-7152(85)90036-7
OpenAlex ID: W2092859147
cites work: Rank tests for association with right censored data
cites work: Determination of Reliability Functions by the TTT Transform
cites work: Q4741623
cites work: Q3327567
cites work: A relationship between two forms of linear rank procedures for censored data
cites work: Linear rank tests with right censored data
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description: scientific article; zbMATH DE number 3919535