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For the case of the sampling model M2 of Hosmer (1973) it is shown that the sequence of maximum likelihood estimators, which can be obtained explicitly, is asymptotically optimal in this sense. The results hold true even when the multinomial approximations involve cells chosen adaptively, from the data, in a well-specified way.<\/jats:p>","DOI":"10.1111\/j.2517-6161.1984.tb01319.x","type":"journal-article","created":{"date-parts":[[2018,12,7]],"date-time":"2018-12-07T06:42:24Z","timestamp":1544164944000},"page":"465-473","source":"Crossref","is-referenced-by-count":28,"title":["Efficient Nonparametric Estimation of Mixture Proportions"],"prefix":"10.1093","volume":"46","author":[{"given":"Peter","family":"Hall","sequence":"first","affiliation":[{"name":"Australian National University"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"D. 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