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

Ramesh C. Gupta and Joel E. Michalek

Statistics & Probability Letters, 1985, vol. 3, issue 5, 231-234

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 [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.

Keywords: accelerated; failure; time; model; proportional; hazards; model; survival; analysis (search for similar items in EconPapers)
Date: 1985
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