The discrimination power of projection pursuit with different density estimators

Biometrika

Volumn 89, Issue 1, 2002, Pages 129-143

  Renaud, Olivier ^a  

^a UNIVERSITY OF GENEVA   (Switzerland)

Author keywords

Bayes risk; Discriminant analysis; Kernel; Minimax; Strong consistency; Wavelet

Indexed keywords

EID: 24944480903     PISSN: 00063444     EISSN: None     Source Type: Journal    
DOI: 10.1093/biomet/89.1.129     Document Type: Article

References (15)

1. COIFMAN, R. R. & SAITO, N. (1994). Constructions of local orthonormal bases for classification and regression. Comptes Rendus 319, 191-6.
2. DIACONIS, P. & FREEDMAN, D. (1984). Asymptotics of graphical projection pursuit Ann. Statist. 12, 793-815.
3. FREY, P. W. & SLATE, D. J. (1991). Letter recognition using holland-style adaptive classifiers. Mach. Learn. 6, 161-82.
4. FRIEDMAN, J. H. & STUETZLE, W. (1981). Projection pursuit regression. J. Am. Statist. Assoc. 76, 817-23.
5. FRIEDMAN, J. H. & TUKEY, J. (1974). A projection pursuit algorithm for exploratory data analysis. IEEE Trans. Comp. 23, 881-90.
6. FRIEDMAN, J. H., STUETZLE, W. & SCHROEDER, A. (1984). Projection pursuit density estimation. J. Am. Statist. Assoc. 79, 599-608.
7. HÄRDLE, W., KERKYACHARIAN, G., PICARD, D. & TSYBAKOV, A. (1998). Wavelets, Approximation, and Statistical Applications, Lecture Notes in Statistics, 129. Berlin: Springer-Verlag.
8. HASTIE, T. & TIBSHIRANI, R. (1998). Classification by pairwise coupling. Ann. Statist. 26, 451-71.
9. JONES, M. C. & SIBSON, R. (1987). What is projection pursuit? (with Discussion). J. R. Statist. Soc. A 150, 1-36.
10. POLZEHL, J. (1995). Projection pursuit discriminant analysis. Comp. Statist. Data Anal. 20, 141-57.
11. POSSE, C. (1992). Projection pursuit discriminant analysis for two groups. Commun. Statist. A 21, 1-19.
12. POSSE, C. (1995). Tools for two-dimensional exploratory projection pursuits. J. Comp. Graph. Statist. 4, 83-100.
13. SHEATHER, S. J. & JONES, M. C. (1991). A reliable data-based bandwidth selection method for kernel density estimation. J. R. Statist. Soc. B 53, 683-90.
14. VETTERLI, M. & KOVAČEVIĆ, J. (1995). Wavelets and Subband Coding. Upper Saddle River, NJ: Prentice Hall.
15. VIDAKOVIC, B. (1999). Statistical Modeling by Wavelets. New York: Wiley.