{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,28]],"date-time":"2025-09-28T06:52:36Z","timestamp":1759042356919},"reference-count":22,"publisher":"Cambridge University Press (CUP)","issue":"2","license":[{"start":{"date-parts":[[2013,3,28]],"date-time":"2013-03-28T00:00:00Z","timestamp":1364428800000},"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":[[2013,4]]},"abstract":"<jats:p>This paper presents computationally simple estimators for the index coefficients in a binary choice model with a binary endogenous regressor without relying on distributional assumptions or on large support conditions and yields root-<jats:italic>n<\/jats:italic> consistent and asymptotically normal estimators. We develop a multistep method for estimating the parameters in a triangular, linear index, threshold-crossing model with two equations. Such an econometric model might be used in testing for moral hazard while allowing for asymmetric information in insurance markets. In outlining this new estimation method two contributions are made. The first one is proposing a novel \u201cmatching\u201d estimator for the coefficient on the binary endogenous variable in the outcome equation. Second, in order to establish the asymptotic properties of the proposed estimators for the coefficients of the exogenous regressors in the outcome equation, the results of Powell, Stock, and Stoker (1989, <jats:italic>Econometrica<\/jats:italic> 75, 1403\u20131430) are extended to cover the case where the average derivative estimation requires a first-step semiparametric procedure.<\/jats:p>","DOI":"10.1017\/s0266466612000436","type":"journal-article","created":{"date-parts":[[2013,3,28]],"date-time":"2013-03-28T11:27:44Z","timestamp":1364470064000},"page":"354-392","source":"Crossref","is-referenced-by-count":6,"title":["ESTIMATION OF BINARY CHOICE MODELS WITH LINEAR INDEX AND DUMMY ENDOGENOUS VARIABLES"],"prefix":"10.1017","volume":"29","author":[{"given":"Ne\u015fe","family":"Yildiz","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"56","published-online":{"date-parts":[[2013,3,28]]},"reference":[{"key":"S0266466612000436_ref4","volume-title":"Advances in Economics and Econometrics: Theory and Applications, Eighth World Congress","volume":"II","author":"Blundell","year":"2003"},{"key":"S0266466612000436_ref2","doi-asserted-by":"crossref","first-page":"1193","DOI":"10.2307\/1911443","article-title":"The estimation of a simultaneous equation generalized probit model","volume":"46","author":"Amemiya","year":"1978","journal-title":"Econometrica"},{"key":"S0266466612000436_ref15","doi-asserted-by":"crossref","first-page":"1481","DOI":"10.3982\/ECTA7108","article-title":"Identification and estimation of triangular simultaneous equation models without additivity","volume":"77","author":"Imbens","year":"2009","journal-title":"Econometrica"},{"key":"S0266466612000436_ref22","doi-asserted-by":"crossref","first-page":"757","DOI":"10.1111\/j.1468-0262.2007.00767.x","article-title":"Dummy endogenous models in weakly separable models","volume":"75","author":"Vytlacil","year":"2007","journal-title":"Econometrica"},{"key":"S0266466612000436_ref19","doi-asserted-by":"crossref","first-page":"729","DOI":"10.1080\/01621459.1988.10478655","article-title":"Identification of binary response models source","volume":"83","author":"Manski","year":"1988","journal-title":"Journal of the American Statistical Association"},{"key":"S0266466612000436_ref5","doi-asserted-by":"crossref","first-page":"581","DOI":"10.1111\/j.1467-937X.2004.00299.x","article-title":"Endogeneity in semiparametric binary response models","volume":"71","author":"Blundell","year":"2004","journal-title":"Review of Economic Studies"},{"key":"S0266466612000436_ref17","doi-asserted-by":"crossref","first-page":"145","DOI":"10.1016\/S0304-4076(00)00015-4","article-title":"Semiparametric qualitative response model estimation with unknown heteroscedasticity or instrumental variables","volume":"97","author":"Lewbel","year":"2000","journal-title":"Journal of Econometrics"},{"key":"S0266466612000436_ref1","doi-asserted-by":"crossref","first-page":"1053","DOI":"10.1111\/j.1468-0262.2005.00609.x","article-title":"Cross section and panel data estimators for nonseparable models with endogenous regressors","volume":"73","author":"Altonji","year":"2005","journal-title":"Econometrica"},{"key":"S0266466612000436_ref7","unstructured":"Chen, X. & Vytlacil, E. 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