Mixture models, robustness, and the weighted likelihood methodology

Biometrics

Volumn 56, Issue 2, 2000, Pages 483-486

  Markatou, Marianthi ^a  

^a Och Spine at New York Presbyterian Hospitals   (United States)

Author keywords

Mixture models; Robustness; Roots; Weighted likelihood

Indexed keywords

ION BEAMS; METHOD OF MOMENTS;

ANALYSIS OF DATA; LIKELIHOOD ESTIMATE; LOW BIAS; MIXTURE MODELING; MIXTURE OF DISTRIBUTIONS; MODEL ROBUSTNESS; PERFORMANCE; ROBUSTNESS; ROOT; WEIGHTED LIKELIHOOD;

MEAN SQUARE ERROR;

ALGORITHM; ARTICLE; METHODOLOGY; MODEL;

EID: 0033919664     PISSN: 0006341X     EISSN: None     Source Type: Journal    
DOI: 10.1111/j.0006-341X.2000.00483.x     Document Type: Article

References (12)

1. Furman, D. W. and Lindsay, B. G. (1994). Measuring the relative effectiveness of moment estimators as starting values in maximizing likelihoods. Computational Statistics and Data Analysis 17, 493-507.
2. Gray, G. (1994). Bias in misspecified mixtures. Biometrics 50, 457-470.
3. Jorgensen, M. A. (1990). Influence-based diagnostics for finite mixture models. Biometrics 46, 1047-1058.
4. Lindsay, B. G. (1989). Moment matrices: Applications in mixtures. Annals of Statistics 17, 722-740.
5. Lindsay, B. G. (1994). Efficiency versus robustness: The case of minimum Hellinger distance and related methods. Annals of Statistics 22, 1018-1114.
6. Lindsay, B. G. (1995). Mixture Models: Theory, Geometry and Applications, Volume 5, NSF-CBMS Regional Conference Series in Probability and Statistics. Hayward, California: Institute of Mathematical Studies.
7. Lindsay, B. G. and Basak, P. (1993). Multivariate normal mixtures: A fast consistent method of moments. Journal of the American Statistical Association 88, 468-476.
8. Markatou, M., Basu, A., and Lindsay, B. G. (1998). Weighted likelihood estimating equations with a bootstrap root search. Journal of the American Statistical Association 93, 740-750.
9. McLachlan, G. J. and Basford, K. E. (1988). Mixture Models: Inference and Applications to Clustering. New York: Marcel Dekker.
10. McLachlan, G. J. and Peel, D. (1998a). Robust cluster analysis via mixtures of multivariate t-distributions. In Lecture Notes in Computer Science, Volume 1451, A. Amin, D. Doris, P. Pudil, and H. Freeman (eds), 658-666. Berlin: Springer-Verlag.
11. McLachlan, G. J. and Peel, D. (1998b). MIXFIT: An algorithm for the automatic fitting and testing of normal mixture models. In Proceedings of the 14th International Conference on Pattern Recognition, Volume I, 553-557. Los Alamitos, California: IEEE Computer Society.
12. Titterington, D. M., Smith, A. F. M., and Makov, U. E. (1985). Statistical Analysis of Finite Mixture Distributions. New York: John Wiley.