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We demonstrate that, with additional serial dependence conditions on the process of deterministic utility and tail restrictions on the error distribution, the (point) identification of the model can proceed in two steps, and requires matching only the value of an index function of explanatory variables over time, rather than the value of each explanatory variable. Our identification method motivates an easily implementable, two-step maximum score (2SMS) procedure \u2013 producing estimators whose rates of convergence, in contrast to Honor\u00e9 and Kyriazidou\u2019s (2000, <jats:italic>Econometrica<\/jats:italic> 68, 839\u2013874) methods, are independent of the model dimension. We then analyze the asymptotic properties of the 2SMS procedure and propose bootstrap-based distributional approximations for inference. Evidence from Monte Carlo simulations indicates that our procedure performs satisfactorily in finite samples.<\/jats:p>","DOI":"10.1017\/s0266466624000057","type":"journal-article","created":{"date-parts":[[2024,3,11]],"date-time":"2024-03-11T00:26:58Z","timestamp":1710116818000},"page":"907-946","source":"Crossref","is-referenced-by-count":2,"title":["SEMIPARAMETRIC ESTIMATION OF DYNAMIC BINARY CHOICE PANEL DATA MODELS"],"prefix":"10.1017","volume":"41","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-5372-5206","authenticated-orcid":false,"given":"Fu","family":"Ouyang","sequence":"first","affiliation":[{"name":"University of Queensland"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8908-7736","authenticated-orcid":false,"given":"Thomas Tao","family":"Yang","sequence":"additional","affiliation":[{"name":"Australian National University"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"56","published-online":{"date-parts":[[2024,3,11]]},"reference":[{"key":"S0266466624000057_r9","doi-asserted-by":"crossref","first-page":"719","DOI":"10.3982\/ECTA7531","article-title":"A dynamic model for binary panel data with unobserved heterogeneity admitting a \n\n\n\n\n$\\sqrt{n}$\n\n\n-consistent conditional estimator","volume":"78","author":"Bartolucci","year":"2010","journal-title":"Econometrica"},{"key":"S0266466624000057_r13","doi-asserted-by":"publisher","DOI":"10.1086\/321014"},{"key":"S0266466624000057_r37","doi-asserted-by":"publisher","DOI":"10.2307\/2951582"},{"key":"S0266466624000057_r30","first-page":"114","volume-title":"Structural analysis of discrete data and econometric applications","author":"Heckman","year":"1981b"},{"key":"S0266466624000057_r14","doi-asserted-by":"publisher","DOI":"10.3982\/ECTA17950"},{"key":"S0266466624000057_r3","doi-asserted-by":"publisher","DOI":"10.1162\/0034653041811761"},{"key":"S0266466624000057_r42","doi-asserted-by":"publisher","DOI":"10.1016\/j.jeconom.2021.01.007"},{"key":"S0266466624000057_r2","unstructured":"Aguirregabiria, V. , & Carro, J. 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