Comparing several methods to fit finite mixture models to grouped data by the em algorithm

Proceedings of the World Congress on Engineering 2011, WCE 2011

Volumn 1, Issue , 2011, Pages 329-332

  Wengrzik, Joanna ^a   Timm, Jürgen ^a  

^a UNIVERSITY OF BREMEN   (Germany)

Author keywords

EM algorithm; Finite mixture; Grouped data

Indexed keywords

CONTINUOUS DATA; EM ALGORITHMS; FINITE MIXTURE MODELS; FINITE MIXTURES; GAUSSIAN MIXTURES; GROUPED DATA; STANDARD TOOLS; TWO-COMPONENT;

MAXIMUM LIKELIHOOD ESTIMATION; MIXTURES; MODELS;

ALGORITHMS;

EID: 80755180958     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (13)

1. A.P, Dempster, N.M. Laird and D.R. Rubin, "Maximum likelihood from incomplete data," Journal of the Royal Statistical Society, vol. 39, pp. 1-38, 1977.
2. J. Du, Combined Algorithms for fitting finite mixture distributions, McMaster University Hamilton, Ontaria, 2002.
3. B.S. Everitt and D.J. Hand, Finite Mixture Distributions, Chapman and Hall, London, 1981.
4. B. Köhler, H. Bomas, M. Hunkel, J. Lütjens and H.-W. Zoch, "Yield strength behaviour of carbon steel microsheets after cold forming and after annealing", Sciencedirect, Scripta Materialia, vol. 62, pp. 548-551, 2010.
5. P.D.M. MacDonald and T.J. Pitcher, "Age-groups from size-frequency data: a versatile and efficient method of analysing distribution mixtures," Journal of Fisheries Research Board of Canada, Vol. 36, pp. 987-1001, 1979.
6. P.D.M. MacDonald and P.E.J. Green, User's Guide to Program MIX: An Interactive Program for Fitting Mixtures of Distributions, Release 2.3. Ichthus Data Systems, 1988.
7. G.J. McLachlan and D. Peel, Finite Mixture Models, Wiley, New York, 2000.
8. G.L. McLachlan and K.E. Basford, Mixture Models, Marcel Dekker, Inc., 1988.
9. G.L. McLachlan and T. Krishnanm, The EM Algorithm and Extentions, Wiley, New York, 1997.
10. G.J. McLachlan and P.N. Jones, "Algorithm AS 254: Maximum likelihood estimation from grouped and truncated Data with finite normal mixture model", Journal of Applied Statistics, Vol. 39, No.2, pp. 273-312, 1990.
11. G.J. McLachlan and P.N. Jones, "Fitting Mixture Models to Grouped an Truncated Data via the EM Algorithm", Biometrics, Vol. 44, pp. 571-578, 1988.
12. M. Schader and F. Schmidt, "Maximum-Likelihood-Schätzung aus gruppierten Dateneine Übersicht", OR Spektrum, Vol. 10, pp. 1-12, 1988.
13. D.M. Titteringston, A.F.M. Smith and U.E. Markov, Statistical Analysis of Finite Mixture Distributions, Wiley, New York, 1985.