{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,23]],"date-time":"2026-06-23T00:31:14Z","timestamp":1782174674902,"version":"3.54.5"},"reference-count":22,"publisher":"Springer Science and Business Media LLC","issue":"4","license":[{"start":{"date-parts":[[2015,2,10]],"date-time":"2015-02-10T00:00:00Z","timestamp":1423526400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Comput Stat"],"published-print":{"date-parts":[[2015,12]]},"DOI":"10.1007\/s00180-015-0565-y","type":"journal-article","created":{"date-parts":[[2015,2,9]],"date-time":"2015-02-09T04:21:30Z","timestamp":1423455690000},"page":"1051-1077","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":10,"title":["Improving the vector $$\\varepsilon $$ \u03b5 acceleration for the EM algorithm using a re-starting procedure"],"prefix":"10.1007","volume":"30","author":[{"given":"Masahiro","family":"Kuroda","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Zhi","family":"Geng","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Michio","family":"Sakakihara","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2015,2,10]]},"reference":[{"key":"565_CR1","doi-asserted-by":"crossref","first-page":"561","DOI":"10.1016\/S0167-9473(02)00163-9","volume":"41","author":"C Biernacki","year":"2003","unstructured":"Biernacki C, Celeux G, Govaert G (2003) Choosing starting values for the EM algorithm for getting the highest likelihood in multivariate Gaussian mixture models. Comput Stat Data Anal 41:561\u2013575","journal-title":"Comput Stat Data Anal"},{"key":"565_CR2","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 AP, Laird NM, Rubin DB (1977) Maximum likelihood from incomplete data via the EM algorithm. J R Stat Soc Ser B 39:1\u201322","journal-title":"J R Stat Soc Ser B"},{"key":"565_CR3","doi-asserted-by":"crossref","first-page":"221","DOI":"10.1080\/01621459.1993.10594313","volume":"88","author":"M Jamshidian","year":"1993","unstructured":"Jamshidian M, Jennrich RI (1993) Conjugate gradient acceleration of the EM algorithm. J Am Stat Assoc 88:221\u2013228","journal-title":"J Am Stat Assoc"},{"key":"565_CR4","doi-asserted-by":"crossref","first-page":"569","DOI":"10.1111\/1467-9868.00083","volume":"59","author":"M Jamshidian","year":"1997","unstructured":"Jamshidian M, Jennrich RI (1997) Acceleration of the EM algorithm by using quasi-Newton methods. J R Stat Soc Ser B 59:569\u2013587","journal-title":"J R Stat Soc Ser B"},{"key":"565_CR5","doi-asserted-by":"crossref","DOI":"10.1201\/9781420068740","volume-title":"Introduction to scientific programming and simulation using R","author":"O Jones","year":"2009","unstructured":"Jones O, Maillardet R, Robinson A (2009) Introduction to scientific programming and simulation using R. Chapman & Hall\/CRC, Boca Raton"},{"key":"565_CR6","doi-asserted-by":"crossref","first-page":"577","DOI":"10.1016\/S0167-9473(02)00177-9","volume":"41","author":"D Karlis","year":"2003","unstructured":"Karlis D, Xekalaki E (2003) Choosing initial values for the EM algorithm for finite mixtures. Comput Stat Data Anal 41:577\u2013590","journal-title":"Comput Stat Data Anal"},{"key":"565_CR7","doi-asserted-by":"crossref","first-page":"1549","DOI":"10.1016\/j.csda.2006.05.004","volume":"51","author":"M Kuroda","year":"2006","unstructured":"Kuroda M, Sakakihara M (2006) Accelerating the convergence of the EM algorithm using the vector $$\\varepsilon $$ \u03b5 algorithm. Comput Stat Data Anal 51:1549\u20131561","journal-title":"Comput Stat Data Anal"},{"key":"565_CR8","doi-asserted-by":"crossref","first-page":"97","DOI":"10.1080\/01621459.1987.10478395","volume":"82","author":"NM Laird","year":"1987","unstructured":"Laird NM, Lange K, Stram DO (1987) Maximum likelihood computations with repeated measures: application of the EM algorithm. J Am Stat Assoc 82:97\u2013105","journal-title":"J Am Stat Assoc"},{"key":"565_CR9","first-page":"1","volume":"5","author":"K Lange","year":"1995","unstructured":"Lange K (1995) A quasi Newton acceleration of the EM algorithm. Stat Sin 5:1\u201318","journal-title":"Stat Sin"},{"key":"565_CR10","doi-asserted-by":"crossref","first-page":"2816","DOI":"10.1016\/j.csda.2012.03.003","volume":"56","author":"G Lee","year":"2012","unstructured":"Lee G, Scott C (2012) EM algorithms for multivariate Gaussian mixture models with truncated and censored data. Comput Stat Data Anal 56:2816\u20132829","journal-title":"Comput Stat Data Anal"},{"key":"565_CR11","doi-asserted-by":"crossref","first-page":"663","DOI":"10.1016\/j.jbi.2011.03.004","volume":"44","author":"G Lee","year":"2011","unstructured":"Lee G, Finn W, Scott C (2011) Statistical file matching of flow cytometry data. J Biomed Inform 44:663\u2013676","journal-title":"J Biomed Inform"},{"key":"565_CR12","doi-asserted-by":"crossref","first-page":"257","DOI":"10.1016\/j.jmva.2008.04.010","volume":"100","author":"TI Lin","year":"2009","unstructured":"Lin TI (2009) Maximum likelihood estimation for multivariate skew normal mixture models. J Multivar Anal 100:257\u2013265","journal-title":"J Multivar Anal"},{"key":"565_CR13","volume-title":"Statistical analysis with missing data","author":"RJA Little","year":"1987","unstructured":"Little RJA, Rubin DB (1987) Statistical analysis with missing data. Wiley, New York"},{"key":"565_CR14","doi-asserted-by":"crossref","first-page":"226","DOI":"10.1111\/j.2517-6161.1982.tb01203.x","volume":"44","author":"TA Louis","year":"1982","unstructured":"Louis TA (1982) Finding the observed information matrix when using the EM algorithm. J R Stat Soc Ser B 44:226\u2013233","journal-title":"J R Stat Soc Ser B"},{"key":"565_CR15","doi-asserted-by":"crossref","DOI":"10.1002\/0471721182","volume-title":"Finite mixture models","author":"GJ McLachlan","year":"2000","unstructured":"McLachlan GJ, Peel D (2000) Finite mixture models. Wiley, New York"},{"key":"565_CR16","doi-asserted-by":"crossref","first-page":"413","DOI":"10.1016\/0024-3795(94)90363-8","volume":"199","author":"XL Meng","year":"1994","unstructured":"Meng XL, Rubin DB (1994) On the global and componentwise rates of convergence of the EM algorithm. Linear Algebra Appl 199:413\u2013425","journal-title":"Linear Algebra Appl"},{"key":"565_CR17","doi-asserted-by":"crossref","first-page":"8519","DOI":"10.1073\/pnas.0903028106","volume":"106","author":"S Pynea","year":"2009","unstructured":"Pynea S, Hua X, Wangb K, Rossina E, Linc T, Maiera LM, Baecher-Alland C, McLachlan GJ, Tamayoa P, Haflera DA, De Jagera PL, Mesirova JP (2009) Automated high-dimensional flow cytometry data analysis. Proc Natl Acad Sci USA 106:8519\u20138524","journal-title":"Proc Natl Acad Sci USA"},{"key":"565_CR18","unstructured":"R Development Core Team (2013) R: a language and environment for statistical computing. R Foundation for Statistical Computing, Vienna, Austria. ISBN 3-900051-07-0. http:\/\/www.R-project.org"},{"key":"565_CR19","doi-asserted-by":"crossref","DOI":"10.1201\/9781439821862","volume-title":"Analysis of incomplete multivariate data","author":"JL Schafer","year":"1997","unstructured":"Schafer JL (1997) Analysis of incomplete multivariate data. Chapman & Hall\/CRC, London"},{"key":"565_CR20","volume-title":"Statistical methods","author":"GW Snedecor","year":"1967","unstructured":"Snedecor GW, Cochran WC (1967) Statistical methods. Iowa State University Press, Iowa"},{"key":"565_CR21","doi-asserted-by":"crossref","first-page":"469","DOI":"10.1007\/s00180-007-0089-1","volume":"23","author":"M Wang","year":"2008","unstructured":"Wang M, Kuroda M, Sakakihara M, Geng Z (2008) Acceleration of the EM algorithm using the vector epsilon algorithm. Comput Stat 23:469\u2013486","journal-title":"Comput Stat"},{"key":"565_CR22","doi-asserted-by":"crossref","first-page":"301","DOI":"10.1090\/S0025-5718-1962-0145647-X","volume":"16","author":"P Wynn","year":"1962","unstructured":"Wynn P (1962) Acceleration techniques for iterated vector and matrix problems. Math Comp 16:301\u2013322","journal-title":"Math Comp"}],"container-title":["Computational Statistics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00180-015-0565-y.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00180-015-0565-y\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00180-015-0565-y","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,6,7]],"date-time":"2024-06-07T02:48:58Z","timestamp":1717728538000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00180-015-0565-y"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,2,10]]},"references-count":22,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2015,12]]}},"alternative-id":["565"],"URL":"https:\/\/doi.org\/10.1007\/s00180-015-0565-y","relation":{},"ISSN":["0943-4062","1613-9658"],"issn-type":[{"value":"0943-4062","type":"print"},{"value":"1613-9658","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,2,10]]}}}