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We present a constructive identification argument and use it to develop simple two-step estimators of the component distributions and all their functionals. We discuss a computationally efficient method for estimation and derive asymptotic theory. Simulation experiments suggest that our theory provides confidence intervals with good coverage in small samples.<\/jats:p>","DOI":"10.1111\/rssb.12110","type":"journal-article","created":{"date-parts":[[2015,2,16]],"date-time":"2015-02-16T04:55:22Z","timestamp":1424062522000},"page":"211-229","source":"Crossref","is-referenced-by-count":47,"title":["Non-Parametric Estimation of Finite Mixtures from Repeated Measurements"],"prefix":"10.1093","volume":"78","author":[{"given":"St\u00e9phane","family":"Bonhomme","sequence":"first","affiliation":[{"name":"University of Chicago , USA"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Koen","family":"Jochmans","sequence":"additional","affiliation":[{"name":"Sciences Po , Paris , France"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Jean-Marc","family":"Robin","sequence":"additional","affiliation":[{"name":"Sciences Po , Paris , France"},{"name":"University College London , UK"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"286","published-online":{"date-parts":[[2015,2,15]]},"reference":[{"key":"2023021709313591900_rssb12110-cit-0001","doi-asserted-by":"crossref","first-page":"3099","DOI":"10.1214\/09-AOS689","article-title":"Identifiability of parameters in latent structure models with many observed variables","volume":"37","author":"Allman","year":"2009","journal-title":"Ann. 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