2013
DOI: 10.1017/s0266466612000795
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Nonparametric Identification of Accelerated Failure Time Competing Risks Models

Abstract: We provide new conditions for identification of accelerated failure time competing risks models. These include Roy models and some auction models. In our setup, unknown regression functions and the joint survivor function of latent disturbance terms are all nonparametric. We show that this model is identified given covariates that are independent of latent errors, provided that a certain rank condition is satisfied. We present a simple example in which our rank condition for identification is verified. Our ide… Show more

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Cited by 24 publications
(16 citation statements)
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“…Identification without exclusion restriction of the competing risk model, which is strongly related to the standard Roy model, has already been considered in the literature by Heckman & Honore (1989), 6 Abbring & van den Berg (2003), Lee (2006) and Lee & Lewbel (2008). 7 However, all of the strategies proposed in these papers break down when turning to generalized Roy models.…”
Section: Application To Generalized Roy Modelsmentioning
confidence: 99%
“…Identification without exclusion restriction of the competing risk model, which is strongly related to the standard Roy model, has already been considered in the literature by Heckman & Honore (1989), 6 Abbring & van den Berg (2003), Lee (2006) and Lee & Lewbel (2008). 7 However, all of the strategies proposed in these papers break down when turning to generalized Roy models.…”
Section: Application To Generalized Roy Modelsmentioning
confidence: 99%
“…Identification results under various assumptions were established by Heckman and Honoré (), Sueyoshi (), Abbring and van den Berg (), and Lee and Lewbel (). In general, there have been three different approaches to identification (Honoré and Lleras‐Muney, ): (a) to make no additional assumptions beyond the latent CR structure and estimate bounds on the objects of interest; (b) assume that the risks are independent conditional on a set of observed covariates and deal with a multiple‐duration model environment; and (c) to specify a parametric or semiparametric model conditional on the covariates, Here we take the last approach.…”
Section: Introductionmentioning
confidence: 99%
“…Finally, there is also a literature on identi…cation in competing risk models. The two most closely related papers in terms of modelling are Heckman and Honoré (1989) and Lee and Lewbel (2013). Heckman and Honoré (1989) achieves identi…cation by letting the index of the duration variable go to zero and so their result falls in the "thin set identi…cation" category.…”
Section: Introductionmentioning
confidence: 99%
“…Heckman and Honoré (1989) achieves identi…cation by letting the index of the duration variable go to zero and so their result falls in the "thin set identi…cation" category. Lee and Lewbel (2013) provide a high-level assumption for identi…cation involving a rank condition of an integral operator. Primitive conditions for this to hold are not known.…”
Section: Introductionmentioning
confidence: 99%