Functional classification and the random Tukey depth. Practical issues

Advances in Intelligent and Soft Computing

Volumn 77, Issue , 2010, Pages 123-130

  Cuesta Albertos, Juan A ^a   Nieto Reyes, Alicia ^a  

^a UNIVERSITY OF CANTABRIA   (Spain)

Author keywords

Functional classification; Functional depth; Random projections; Random Tukey depth

Indexed keywords

SOFTWARE ENGINEERING;

FUNCTIONAL CLASSIFICATION; FUNCTIONAL DEPTHS; INFINITE DIMENSIONAL; PRACTICAL ISSUES; RANDOM CHARACTERS; RANDOM PROJECTIONS; RANDOM TUKEY DEPTH; REAL DATA SETS;

SOFT COMPUTING;

EID: 80053010895     PISSN: 18675662     EISSN: None     Source Type: Book Series    
DOI: 10.1007/978-3-642-14746-3_16     Document Type: Conference Paper

References (17)

1. Cuesta-Albertos, J. A., del Barrio, T., Fraiman, R., Matrán, C.: The random projection method in goodness of fit for functional data. Comput. Statist. Data Anal. 51(10), 4814-4831 (2007)
2. Cuesta-Albertos, J. A., Febrero-Bande, M.: Multiway ANOVA for Functional Data. Test (to appear, 2010)
3. Cuesta-Albertos, J. A., Nieto-Reyes, A.: The random Tukey depth. Comput. Statist. Data Anal. 52(11), 4979-4988 (2008)
4. Cuesta-Albertos, J. A., Nieto-Reyes, A.: A random functional depth. In: Dabo-Niang, S., Ferraty, F. (eds.) Functional and Operational Statistics, pp. 121-126. Springer, New-York (2008)
5. Cuevas, A., Febrero, M., Fraiman, R.: Robust estimation and classification for functional data via projection-based depth notions. Comput. Statist. 22(3), 481-496 (2007)
6. Cuevas, A., Fraiman, R.: On depth measures and dual statistics. A methodology for dealing with general data. J. Multivariate Anal. 100(4), 753-766 (2009)
7. Fraiman, R., Muniz, G.: Trimmed means for functional data. Test 10(2), 419-440 (2001)
8. Liu, R. Y.: On a notion of data depth based on random simplices. Ann. Statist. 18, 405-414 (1990)
9. Liu, R. Y., Parelius, J. M., Singh, K.: Multivariate analysis by data depth: descriptive statistics, graphics and inference. Ann. Statist. 27(3), 783-858 (1999)
10. López-Pintado, S., Romo, J.: Depth-based classification for functional data. In: Liu, R., Serfling, R., Souvaine, D. L. (eds.) Data Depth: Robust Multivariate Analysis, Computational Geometry and Applications. DIMACS Series, vol. 72, pp. 103-119. American Mathematical Society, Providence (2006)
11. López-Pintado, S., Romo, J.: On the concept of depth for functional data. J. Amer. Statist. Assoc. 104(486), 718-734 (2009)
12. Mahalanobis, P. C.: On the generalized distance in statistics. Proc. Natl. Inst. Science 12, 49-55 (1936)
13. Ramsay, J. O., Silverman, B. W.: Functional Data Analysis. Springer, New York (1997)
14. Ramsay, J. O., Silverman, B. W.: Applied Functional Data Analysis: Methods and Case Studies. Springer, New York (2002)
15. Ramsay, J. O., Hooker, G., Graves, S.: Functional Data Analysis with R and MATLAB. Springer, New York (2009)
16. Tukey, J. W.: Mathematics and picturing of data. In: Proc. ICM, Vancouver, vol. 2, pp. 523-531 (1975)
17. Zuo, Y., Serfling, R.: General notions of statistical depth function. Ann. Statist. 28(2), 461-482 (2000)