eprintid: 10091972 rev_number: 20 eprint_status: archive userid: 608 dir: disk0/10/09/19/72 datestamp: 2021-08-24 15:51:01 lastmod: 2021-09-29 22:17:04 status_changed: 2021-08-24 15:51:01 type: working_paper metadata_visibility: show creators_name: Sakaguchi, S title: Partial Identification and Inference in Duration Models with Endogenous Censoring ispublished: pub divisions: UCL divisions: B03 divisions: C03 divisions: F24 keywords: partial identification, duration models, transformation models, censoring, conditional moment inequality note: This version is the version of record. For information on re-use, please refer to the publisher’s terms and conditions. abstract: This paper studies identification and inference in transformation models with endogenous censoring. Many kinds of duration models, such as the accelerated failure time model, proportional hazard model, and mixed proportional hazard model, can be viewed as transformation models. I allow the censoring of duration outcome to be arbitrarily correlated with observed covariates and unobserved heterogeneity. I impose no parametric restrictions on the transformation function or the distribution function of the unobserved heterogeneity. In this setting, I partially identify the regression parameters and the transformation function, which are characterized by conditional moment inequalities of U-statistics. I provide an inference method for them by constructing an inference approach for the conditional moment inequality models of U-statistics. As an empirical illustration, I apply the proposed inference method to evaluate the effect of heart transplants on patients' survival time using data from the Stanford Heart Transplant Study. date: 2019-08-30 publisher: Social Science Research Network (SSRN) official_url: https://dx.doi.org/10.2139/ssrn.3443101 oa_status: green full_text_type: pub language: eng primo: open primo_central: open_green verified: verified_manual elements_id: 1766289 doi: 10.2139/ssrn.3443101 lyricists_name: Sakaguchi, Shosei lyricists_id: SSAKA28 actors_name: Allington-Smith, Dominic actors_id: DAALL44 actors_role: owner full_text_status: public place_of_pub: Amsterdam, Netherlands pages: 38 issn: 1556-5068 citation: Sakaguchi, S; (2019) Partial Identification and Inference in Duration Models with Endogenous Censoring. Social Science Research Network (SSRN): Amsterdam, Netherlands. Green open access document_url: https://discovery.ucl.ac.uk/id/eprint/10091972/8/Sakaguchi_SSRN-id3443101.pdf