{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,9,24]],"date-time":"2026-09-24T23:15:33Z","timestamp":1790291733492,"version":"4.1.0"},"reference-count":4,"publisher":"Cambridge University Press (CUP)","issue":"3","license":[{"start":{"date-parts":[[2010,9,24]],"date-time":"2010-09-24T00:00:00Z","timestamp":1285286400000},"content-version":"unspecified","delay-in-days":0,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Econom. Theory"],"published-print":{"date-parts":[[2011,6]]},"abstract":"<jats:p>This note discusses identification in nonparametric, continuous triangular systems. It provides conditions that are both necessary and sufficient for the existence of control functions satisfying conditional independence and support requirements. Confirming a commonly noticed pattern, these conditions restrict the admissible dimensionality of unobserved heterogeneity in the first-stage structural relation, or more generally the dimensionality of the family of conditional distributions of second-stage heterogeneity given explanatory variables and instruments. These conditions imply that no such control function exists without assumptions that seem hard to justify in most applications. In particular, none exists in the context of a generic random coefficient model.<\/jats:p>","DOI":"10.1017\/s0266466610000460","type":"journal-article","created":{"date-parts":[[2010,9,24]],"date-time":"2010-09-24T10:50:00Z","timestamp":1285325400000},"page":"663-671","source":"Crossref","is-referenced-by-count":31,"title":["IDENTIFICATION IN TRIANGULAR SYSTEMS USING CONTROL FUNCTIONS"],"prefix":"10.1017","volume":"27","author":[{"given":"Maximilian","family":"Kasy","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"56","published-online":{"date-parts":[[2010,9,24]]},"reference":[{"key":"S0266466610000460_ref2","first-page":"17","article-title":"Nonadditive models with endogenous regressors","volume":"75","author":"Imbens","year":"2007","journal-title":"Econometric Society World Congress Series"},{"key":"S0266466610000460_ref1","first-page":"655","volume-title":"Advances in Economics and Econometrics: Theory and Applications, Eighth World Congress","volume":"2","author":"Blundell","year":"2003"},{"key":"S0266466610000460_ref4","doi-asserted-by":"publisher","DOI":"10.1111\/1468-0262.00037"},{"key":"S0266466610000460_ref3","doi-asserted-by":"crossref","first-page":"1481","DOI":"10.3982\/ECTA7108","article-title":"Identification and estimation of triangular simultaneous equations models without additivity","volume":"77","author":"Imbens","year":"2009","journal-title":"Econometrica"}],"container-title":["Econometric Theory"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0266466610000460","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,4,27]],"date-time":"2019-04-27T08:17:07Z","timestamp":1556353027000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0266466610000460\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,9,24]]},"references-count":4,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2011,6]]}},"alternative-id":["S0266466610000460"],"URL":"https:\/\/doi.org\/10.1017\/s0266466610000460","relation":{},"ISSN":["0266-4666","1469-4360"],"issn-type":[{"value":"0266-4666","type":"print"},{"value":"1469-4360","type":"electronic"}],"subject":[],"published":{"date-parts":[[2010,9,24]]}}}