Trimming tools in exploratory data analysis

Journal of Computational and Graphical Statistics

Volumn 12, Issue 2, 2003, Pages 434-449

  García Escudero, Luis Angel ^a   Gordaliza, Alfonso ^a   Matrán, Carlos ^a  

^a UNIVERSITY OF VALLADOLID   (Spain)

Author keywords

Cluster analysis; K means; Outlier; Robustness; Trimmed k means

Indexed keywords

EID: 19244381376     PISSN: 10618600     EISSN: None     Source Type: Journal    
DOI: 10.1198/1061860031806     Document Type: Article

References (21)

1. Ankerst, M., Breunig, M. M., Kriegel, H. P., and Sander, J. (1999), "OPTICS: Ordering Points to Identify the Clustering Structure," in Proceedings of the ACM SIGMOD'99 International Conference on Management of Data, Philadelphia PA, pp. 49-60.
2. Azzalini, A., and Bowman, A. W. (1990), "A Look at Some Data on the Old Faithful Geyser," Applied Statistics, 39, 357-365.
3. Cook, D. (1999), "Graphical Detection of Regression Outliers and Mixtures," in Proceedings of the ISI, 1999, Helsinki, pp. 103-106.
4. Cuesta-Albertos, J. A., Gordaliza, A., and Matrán, C. (1997), "Trimmed k-Means: An Attempt to Robustify Quantizers," The Annals of Statistics, 25, 553-576.
5. Engelman, L., and Hartigan, J. A. (1969), "Percentage Points of a Test for Clusters," Journal of the American Statistical Association, 64, 1647-1648.
6. Flury, B., and Riedwyl, H. (1988), Multivariate Statistics: A Practical Approach, New York: Chapman and Hall.
7. García-Escudero, L. A., and Gordaliza, A. (1999), "Robustness Properties of k-means and Trimmed k-means," Journal of the American Statistical Association, 94, 956-969.
8. García-Escudero, L. A., Gordaliza, A., and Matrán, C. (1999a), "Asymptotics for Trimmed k-means and Associated Tolerance Zones," Journal of Statistical Planning and Inference, 77, 247-262.
9. _ (1999b), "A Central Limit Theorem for Multivariate Generalized Trimmed k-means," The Annals of Statistics, 27, 1061-1079.
10. Good, I. J., and Gaskins, R. A. (1980), "Density Estimation and Bump-Hunting by the Penalized Maximum Likelihood Method Exemplified by Scattering and Meteorite Data" (with discussion), Journal of the American Statistical Association, 15, 42-73.
11. Gordaliza, A. (1991), "On the Breakdown Point of Multivariate Location Estimators Based on Trimming Procedures" Statistics and Probability Letters, 11, 387-394.
12. Hartigan, J. A. (1978). "Assymptotic Distribution for Clustering Criteria," The Annals of Statistics, 6, 117-131.
13. Izenman, A. J., and Sommer, C. (1989), "Philatelic Mixtures and Multimodal Densities," Journal of the American Statistical Association, 83, 941-953.
14. Liu, R. Y., Parelius, J. M., and Singh, K. (1999), "Multivariate Analysis by Data Depth: Descriptive Statistics, Graphics and Inference," The Annals of Statistics, 21, 783-840
15. McQueen, J. (1967), "Some Methods for Classification and Analysis of Multivariate Observations," 5th Berkeley Symposium on Mathematics, Statistics, and Probability, 1, 281-298.
16. Milligan, G. W., and Cooper, M. C. (1985), "An Examination of Procedures for Determining the Number of Clusters in a Data Set," Psychometrika, 50, 159-179.
17. Müller, D. W., and Sawitzki, G. (1987), "Excess Mass Estimates and Test for Multimodality," Journal of the American Statistical Association, 86, 738-746.
18. Rocke, D. M., and Woodruff, D. M. (1996), "Identification of Outliers in Multivariate Data," Journal of the American Statistical Association, 91, 1047-1061.
19. _ (1999), "A Synthesis of Outlier Detection and Cluster Identification", Preprint.
20. Rousseeuw, P. J. (1985), "Multivariate Estimation with High Breakdown Point," in Mathematical Statistics and Applications, eds. W. Grossmann, G. Pflug, I. Vincze, and W. Wertz, Dordrecht: Reidel, pp. 283-297.
21. Rousseeuw, P. J., and Van Driessen, K. (1999), "A Fast Algorithm for the Minimum Covariance Determinant Estimator," Technometrics, 41, 212-223.