{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,8]],"date-time":"2024-09-08T22:50:26Z","timestamp":1725835826090},"publisher-location":"Cham","reference-count":15,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783319250397"},{"type":"electronic","value":"9783319250403"}],"license":[{"start":{"date-parts":[[2015,1,1]],"date-time":"2015-01-01T00:00:00Z","timestamp":1420070400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2015]]},"DOI":"10.1007\/978-3-319-25040-3_45","type":"book-chapter","created":{"date-parts":[[2015,10,24]],"date-time":"2015-10-24T21:45:20Z","timestamp":1445723120000},"page":"417-426","source":"Crossref","is-referenced-by-count":1,"title":["Generalized EM Algorithms for Minimum Divergence Estimation"],"prefix":"10.1007","author":[{"given":"Diaa","family":"Al Mohamad","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Michel","family":"Broniatowski","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2016,4,3]]},"reference":[{"key":"45_CR1","doi-asserted-by":"crossref","unstructured":"Al Mohamad, D.: Towards a better understanding of the dual representation of phi divergences. ArXiv e-prints (2015)","DOI":"10.1007\/s00362-016-0812-5"},{"issue":"4","key":"45_CR2","first-page":"403","volume":"43","author":"M Broniatowski","year":"2006","unstructured":"Broniatowski, M., Keziou, A.: Minimization of divergences on sets of signed measures. Studia Sci. Math. Hungar. 43(4), 403\u2013442 (2006)","journal-title":"Studia Sci. Math. Hungar."},{"issue":"1","key":"45_CR3","doi-asserted-by":"publisher","first-page":"16","DOI":"10.1016\/j.jmva.2008.03.011","volume":"100","author":"M Broniatowski","year":"2009","unstructured":"Broniatowski, M., Keziou, A.: Parametric estimation and tests through divergences and the duality technique. J. Multivar. Anal. 100(1), 16\u201336 (2009)","journal-title":"J. Multivar. Anal."},{"key":"45_CR4","unstructured":"Chretien, S., Hero, A.O.: Acceleration of the EM algorithm via proximal point iterations. In: Proceedings of the 1998 IEEE International Symposium on Information Theory, 1998, p. 444 (1998)"},{"key":"45_CR5","unstructured":"Chr\u00e9tien, S., Hero, A.O.: Generalized proximal point algorithms and bundle implementations. Technical report, Department of Electrical Engineering and Computer Science, The University of Michigan (1998)"},{"key":"45_CR6","doi-asserted-by":"publisher","first-page":"308","DOI":"10.1051\/ps:2007041","volume":"12","author":"S Chr\u00e9tien","year":"2008","unstructured":"Chr\u00e9tien, S., Hero, A.O.: On EM algorithms and their proximal generalizations. ESAIM: Probab. Stat. 12, 308\u2013326 (2008)","journal-title":"ESAIM: Probab. Stat."},{"key":"45_CR7","first-page":"95","volume":"8","author":"I Csisz\u00e1r","year":"1963","unstructured":"Csisz\u00e1r, I.: Eine informationstheoretische Ungleichung und ihre anwendung auf den Beweis der ergodizit\u00e4t von Markoffschen Ketten. Publications of the Mathematical Institute of Hungarian Academy of Sciences 8, 95\u2013108 (1963)","journal-title":"Publications of the Mathematical Institute of Hungarian Academy of Sciences"},{"issue":"1","key":"45_CR8","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1111\/j.2517-6161.1977.tb01600.x","volume":"39","author":"AP Dempster","year":"1977","unstructured":"Dempster, A.P., Laird, N.M., Rubin, D.B.: Maximum likelihood from incomplete data via the EM algorithm. J. Roy. Stat. Soc. Ser. B 39(1), 1\u201338 (1977)","journal-title":"J. Roy. Stat. Soc. Ser. B"},{"issue":"7\u20138","key":"45_CR9","doi-asserted-by":"publisher","first-page":"709","DOI":"10.1080\/01630568708816257","volume":"9","author":"AA Goldstein","year":"1987","unstructured":"Goldstein, A.A., Russak, I.B.: How good are the proximal point algorithms? Numer. Funct. Anal. Optim. 9(7\u20138), 709\u2013724 (1987)","journal-title":"Numer. Funct. Anal. Optim."},{"issue":"10","key":"45_CR10","doi-asserted-by":"publisher","first-page":"4394","DOI":"10.1109\/TIT.2006.881731","volume":"52","author":"F Liese","year":"2006","unstructured":"Liese, F., Vajda, I.: On divergences and informations in statistics and information theory. IEEE Trans. Inf. Theor. 52(10), 4394\u20134412 (2006)","journal-title":"IEEE Trans. Inf. Theor."},{"key":"45_CR11","series-title":"Wiley Series in Probability and Statistics","volume-title":"The EM Algorithm and Extensions","author":"G McLachlan","year":"2007","unstructured":"McLachlan, G., Krishnan, T.: The EM Algorithm and Extensions. Wiley Series in Probability and Statistics. Wiley, Hoboken (2007)"},{"key":"45_CR12","series-title":"Pure and Applied Mathematics","volume-title":"Solution of Equations and Systems of Equations","author":"AM Ostrowski","year":"1966","unstructured":"Ostrowski, A.M.: Solution of Equations and Systems of Equations. Pure and Applied Mathematics. Academic Press, New York (1966)"},{"key":"45_CR13","series-title":"Die Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-02431-3","volume-title":"Variational Analysis","author":"RT Rockafellar","year":"1998","unstructured":"Rockafellar, R.T., Wets, R.J.-B.: Variational Analysis. Die Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen, 3rd edn. Springer, Heidelberg (1998)","edition":"3"},{"issue":"1","key":"45_CR14","doi-asserted-by":"publisher","first-page":"20","DOI":"10.1016\/j.jmva.2010.07.010","volume":"102","author":"A Toma","year":"2011","unstructured":"Toma, A., Broniatowski, M.: Dual divergence estimators and tests: robustness results. J. Multivar. Anal. 102(1), 20\u201336 (2011)","journal-title":"J. Multivar. Anal."},{"issue":"1","key":"45_CR15","doi-asserted-by":"publisher","first-page":"27","DOI":"10.1287\/moor.1030.0073","volume":"29","author":"P Tseng","year":"2004","unstructured":"Tseng, P.: An analysis of the EM algorithm and entropy-like proximal point methods. Math. Oper. Res. 29(1), 27\u201344 (2004)","journal-title":"Math. Oper. Res."}],"container-title":["Lecture Notes in Computer Science","Geometric Science of Information"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-319-25040-3_45","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,6,12]],"date-time":"2024-06-12T00:08:13Z","timestamp":1718150893000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-319-25040-3_45"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015]]},"ISBN":["9783319250397","9783319250403"],"references-count":15,"URL":"https:\/\/doi.org\/10.1007\/978-3-319-25040-3_45","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2015]]}}}