Regular Variation and the Identification of Generalized Accelerated Failure-Time Models

J.H. Abbring, G. Ridder

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Ridder (1990) provides an identification result for the Generalized Accelerated Failure-Time (GAFT) model. We point out that Ridder's proof of this result is incomplete, and provide an amended proof with an additional necessary and sufficient condition that requires that a function varies regularly at zero and infinity. We also give more readily interpretable sufficient conditions on the tails of the error distribution or the asymptotic behavior of the transformation of the dependent variable. The sufficient conditions are shown to encompass all previous results on the identification of the Mixed Proportional Hazards (MPH) model. Thus, this paper not only clarifies, but also unifies the literature on the non-parametric identification of the GAFT and MPH models.
Original languageEnglish
Place of PublicationTilburg
Number of pages30
Publication statusPublished - 2011

Publication series

NameCentER Discussion Paper


  • duration analysis
  • identifiability
  • Mixed Proportional Hazards model
  • regular variation


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