On the using of modal curves for radar waveforms classification

Computational Statistics and Data Analysis

Volumn 51, Issue 10, 2007, Pages 4878-4890

  Dabo Niang, Sophie ^a   Ferraty, Frédéric ^b   Vieu, Philippe ^b  

^a UNIV LILLE   (France)

^b INSTITUT DE MATHÉMATIQUES DE TOULOUSE   (France)

Author keywords

Cluster analysis; Curves classification; Curves data; Functional statistics; Hierarchical method; Modal curve; Nonparametric statistics; Radar waveforms; Satellite data

Indexed keywords

CURVES CLASSIFICATION; CURVES DATA; FUNCTIONAL STATISTICS; MODAL CURVE; NONPARAMETRIC STATISTICS; RADAR WAVEFORMS; SATELLITE DATA;

CLASSIFICATION (OF INFORMATION); CLUSTER ANALYSIS; HIERARCHICAL SYSTEMS; INDEXING (OF INFORMATION); MODAL ANALYSIS; STATISTICAL METHODS; WAVEFORM ANALYSIS;

RADAR SYSTEMS;

EID: 34247494253     PISSN: 01679473     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.csda.2006.07.012     Document Type: Article

References (28)

1. Abraham C., Biau G., and Cadre B. Simple estimation of the mode of a multivariate density. Canad. J. Statist. 31 (2003) 23-34
2. Abraham C., Cornillon P., Matzner-Löber E., and Molinari N. Unsupervised curves classification using B-splines. Scand J. Statist. 30 (2003) 581-595
3. Abraham, C., Biau, G., Cadre, B., 2005. On the kernel rule for function classification. Preprint.
4. Anderberg M.R. Cluster Analysis and Applications (1973), Academic Press, New York
5. Avérous J., and Meste M. Median balls: an extension of the interquantile intervals to multivariate distributions. J. Multivariate Anal. 63 2 (1997) 222-241
6. Bosq, D., 2000. Linear Processes in Function Spaces. Lecture Note in Statistics, vol. 149. Springer, Berlin.
7. Bowman A., and Azzalini A. Applied Smoothing Techniques for Data Analysis: The Kernel Approach with S-plus Illustrations (1997), Oxford University Press, Oxford
8. Cadre B. Convergent estimators for the L1 median of a Banach valued random variable. Statistics 35 4 (2001) 509-521
9. Cuevas A., Febrero M., and Fraiman R. Estimating the number of clusters. Canad. J. Statist. 28 (2000) 367-382
10. Cuevas A., Febrero M., and Fraiman R. Cluster analysis: a further approach based on density estimation. Comput. Statist. Data Anal. 36 (2001) 441-459
11. Cuesta-Albertos, J., Fraiman, R., 2006. Impartial trimmed k-means and classification rules for functional data. Preprint.
12. Dabo-Niang S., Ferraty F., and Vieu P. Nonparametric unsupervised classification of satellite wave altimeter forms. In: Antoch J. (Ed). Proceedings in Computational Statistics (2004), Physica-Verlag, Heidelberg, New York 879-886
13. Dabo-Niang S., Ferraty F., and Vieu P. Mode estimation for functional random variable and its application for curves classification. Far East J. Theoret. Statist. 18 1 (2006) 93-119
14. Everitt B.S. Cluster Analysis (1993), Arnold-Halsted, New York
15. Ferraty F., and Vieu P. Functional nonparametric statistics: a double infinite dimensional framework. In: Akritas M., and Politis D. (Eds). Recent Advances and Trends in Nonparametric Statistics (2003), Elsevier, Amsterdam 61-79
16. Ferraty F., and Vieu P. Curves discrimination: a nonparametric functional approach. Comput. Statist. Data Anal. 44 (2003) 161-173
17. Ferraty, F., Vieu, Ph., 2006. Nonparametric Functional Data Analysis. Springer, Berlin, to appear.
18. Ferraty, F., Vieu, P., 2006. Nonparametric Functional Data Analysis: Theory and Practice. Springer Series in Statistics, Springer, New York.
19. Frappart, F., 2003. Catalogue des formes d'onde de l'altimètre Topex/Poséidon sur le bassin amazonien. Technical Report, CNES, Toulouse, France.
20. Gasser T., Hall P., and Presnell B. Nonparametric estimation of the mode of a distribution of random curves. J.Roy. Statist. Soc. B 60 4 (1998) 681-691
21. Hartigan J.A. Cluster Algorithms (1975), Wiley, New York
22. Hartigan J.A., and Hartigan P.M. The dip test of unimodality. Ann. Statist. 13 1 (1985) 441-459
23. R Development Core Team, 2004. A language and environment for statistical computing. R Foundation for Statistical Computing, Vienna, Austria.
24. Ramsay J.O., and Silverman B.W. Functional Data Analysis (1997), Springer, New York
25. Ramsay J.O., and Silverman B.W. Applied Functional Data Analysis: Methods and Case Studies (2002), Springer, New York
26. S-PLUS, 2005. S-PLUS (version 7.0.0), c 1988-2005, Insightful Corporation, Seattle, WA. 〈http://www.insightful.com〉.
27. Tarpey T., and Kinateder K. Clustering functional data. J. Classification 20 (2003) 93-114
28. Zimmerman D.L., and Nunez-Anton V. Parametric modelling of growth curve data: an overview (with discussion). Test 10 1 (2001) 1-73