{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,5,1]],"date-time":"2024-05-01T18:51:39Z","timestamp":1714589499541},"reference-count":23,"publisher":"Elsevier BV","issue":"3-4","license":[{"start":{"date-parts":[[2003,1,1]],"date-time":"2003-01-01T00:00:00Z","timestamp":1041379200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Computational Statistics &amp; Data Analysis"],"published-print":{"date-parts":[[2003,1]]},"DOI":"10.1016\/s0167-9473(02)00188-3","type":"journal-article","created":{"date-parts":[[2003,1,30]],"date-time":"2003-01-30T08:11:25Z","timestamp":1043914285000},"page":"453-464","source":"Crossref","is-referenced-by-count":15,"title":["Asymptotic theory for maximum likelihood in nonparametric mixture models"],"prefix":"10.1016","volume":"41","author":[{"given":"Sara","family":"van de Geer","sequence":"first","affiliation":[]}],"member":"78","reference":[{"key":"10.1016\/S0167-9473(02)00188-3_BIB1","series-title":"Lectures on Elliptic Boundary Value Problems","author":"Agmon","year":"1965"},{"key":"10.1016\/S0167-9473(02)00188-3_BIB2","series-title":"Proceedings of the 1989 Conference in Banach Spaces at Strobl, Austria, London Mathematical Society","first-page":"25","article-title":"The entropy of convex bodies with \u201cfew\u201d extreme points","volume":"Vol. 158","author":"Ball","year":"1990"},{"key":"10.1016\/S0167-9473(02)00188-3_BIB3","series-title":"Probability Theory and Elements of Measure Theory","author":"Bauer","year":"1981"},{"key":"10.1016\/S0167-9473(02)00188-3_BIB4","series-title":"Efficient and Adaptive Estimation for Semiparametric Models","author":"Bickel","year":"1993"},{"key":"10.1016\/S0167-9473(02)00188-3_BIB5","doi-asserted-by":"crossref","first-page":"271","DOI":"10.1007\/BF00332312","article-title":"On estimating a density using Hellinger distance and some other strange facts","volume":"71","author":"Birg\u00e9","year":"1986","journal-title":"Probab. Theory Related Fields"},{"key":"10.1016\/S0167-9473(02)00188-3_BIB6","doi-asserted-by":"crossref","first-page":"113","DOI":"10.1007\/BF01199316","article-title":"Rates of convergence for minimum contrast estimators","volume":"97","author":"Birg\u00e9","year":"1993","journal-title":"Probab. Theory Related Fields"},{"key":"10.1016\/S0167-9473(02)00188-3_BIB7","doi-asserted-by":"crossref","first-page":"422","DOI":"10.4153\/CJM-1963-045-3","article-title":"Entropies of sets of functions of bounded variation","volume":"15","author":"Clements","year":"1963","journal-title":"Canad. J. Math."},{"key":"10.1016\/S0167-9473(02)00188-3_BIB8","unstructured":"Groeneboom, P., 1985. Estimating a monotone density. In: Le Cam, L., Olshen, R.A. (Eds.), Proceedings of the Berkeley Conference in Honor of Jerzy Neyman and Jack Kiefer, Vol. 2. University of California Press, Berkeley, pp. 539\u2013555."},{"key":"10.1016\/S0167-9473(02)00188-3_BIB9","doi-asserted-by":"crossref","first-page":"1388","DOI":"10.1214\/aos\/1176346799","article-title":"Asymptotic properties of maximum likelihood estimates in the mixed Poisson model","volume":"12","author":"Lambert","year":"1984","journal-title":"Ann. Statist."},{"key":"10.1016\/S0167-9473(02)00188-3_BIB10","unstructured":"Milhaud, X., Mounime, S., 1996. A Modified Maximum Likelihood Estimator for Infinite Mixtures. University of Paul Sabatier, Toulouse, Preprint."},{"key":"10.1016\/S0167-9473(02)00188-3_BIB11","unstructured":"Murphy, S.A., van der Vaart, A.W., 1997. Semiparametric mixtures in case control studies. Technical Report, Free University, Amsterdam."},{"key":"10.1016\/S0167-9473(02)00188-3_BIB12","doi-asserted-by":"crossref","first-page":"94","DOI":"10.1214\/aos\/996986503","article-title":"Convex models, MLE and misspecification","volume":"29","author":"Patilea","year":"2001","journal-title":"Ann. Statist."},{"key":"10.1016\/S0167-9473(02)00188-3_BIB13","doi-asserted-by":"crossref","first-page":"137","DOI":"10.1016\/0378-3758(88)90069-9","article-title":"Consistency of the maximum likelihood estimator for certain nonparametric families, in particular","volume":"19","author":"Pfanzagl","year":"1988","journal-title":"J. Statist. Plann. Inference"},{"key":"10.1016\/S0167-9473(02)00188-3_BIB14","series-title":"Convergence of Stochastic Processes","author":"Pollard","year":"1984"},{"key":"10.1016\/S0167-9473(02)00188-3_BIB15","doi-asserted-by":"crossref","first-page":"14","DOI":"10.1214\/aos\/1176349013","article-title":"Hellinger-consistency of certain nonparametric maximum likelihood estimators","volume":"21","author":"van de Geer","year":"1993","journal-title":"Ann. Statist."},{"key":"10.1016\/S0167-9473(02)00188-3_BIB16","unstructured":"van de Geer, S.A., 1995. Asymptotic normality in mixture models. ESAIM, Probab. Statist. 2, 17\u201333 (http:\/\/www.emath.fr\/ps\/)."},{"key":"10.1016\/S0167-9473(02)00188-3_BIB17","doi-asserted-by":"crossref","first-page":"293","DOI":"10.1080\/10485259608832677","article-title":"Rates of convergence for the maximum likelihood estimator in mixture models","volume":"6","author":"van de Geer","year":"1996","journal-title":"J. Nonparametric Statist."},{"key":"10.1016\/S0167-9473(02)00188-3_BIB18","series-title":"Empirical Processes in M-estimation","author":"van de Geer","year":"2000"},{"key":"10.1016\/S0167-9473(02)00188-3_BIB19","doi-asserted-by":"crossref","first-page":"335","DOI":"10.3150\/bj\/1193758710","article-title":"An identity for the nonparametric maximum likelihood estimator in missing data and biased sampling models","volume":"1","author":"van der Laan","year":"1995","journal-title":"Bernoulli"},{"key":"10.1016\/S0167-9473(02)00188-3_BIB20","doi-asserted-by":"crossref","first-page":"178","DOI":"10.1214\/aos\/1176347976","article-title":"On differentiable functionals","volume":"19","author":"van der Vaart","year":"1991","journal-title":"Ann. Statist."},{"key":"10.1016\/S0167-9473(02)00188-3_BIB21","doi-asserted-by":"crossref","first-page":"1896","DOI":"10.1214\/aos\/1176325763","article-title":"Maximum likelihood with partially censored observations","volume":"22","author":"van der Vaart","year":"1994","journal-title":"Ann. Statist."},{"key":"10.1016\/S0167-9473(02)00188-3_BIB22","series-title":"Weak Convergence and Empirical Processes, with Applications to Statistics","author":"van der Vaart","year":"1996"},{"key":"10.1016\/S0167-9473(02)00188-3_BIB23","doi-asserted-by":"crossref","first-page":"339","DOI":"10.1214\/aos\/1176324524","article-title":"Probability inequalities for likelihood ratios and convergence rates for sieve MLE's","volume":"23","author":"Wong","year":"1995","journal-title":"Ann. Statist."}],"container-title":["Computational Statistics &amp; Data Analysis"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0167947302001883?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0167947302001883?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2019,4,4]],"date-time":"2019-04-04T16:53:56Z","timestamp":1554396836000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0167947302001883"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2003,1]]},"references-count":23,"journal-issue":{"issue":"3-4","published-print":{"date-parts":[[2003,1]]}},"alternative-id":["S0167947302001883"],"URL":"https:\/\/doi.org\/10.1016\/s0167-9473(02)00188-3","relation":{},"ISSN":["0167-9473"],"issn-type":[{"value":"0167-9473","type":"print"}],"subject":[],"published":{"date-parts":[[2003,1]]}}}