Mobius-Like Mappings and Their Use in Kernel Density Estimation

Journal of the American Statistical Association

Volumn 98, Issue 464, 2003, Pages 993-1000

  Clements, Adam ^a   Hurn, Stan ^a   Lindsay, Kenneth ^b  

^a QUEENSLAND UNIVERSITY OF TECHNOLOGY   (Australia)

^b UNIVERSITY OF GLASGOW   (United Kingdom)

Author keywords

Algebraic mapping; Curvature; Integrated squared error; Nonparametric estimation

Indexed keywords

EID: 1142289545     PISSN: 01621459     EISSN: None     Source Type: Journal    
DOI: 10.1198/016214503000000945     Document Type: Article

References (15)

1. Bolancé, C., Guillen, M., and Nielsen, J. P. (2003),"Kernel Density Esimation of Actuarial Loss Functions," Insurance: Mathematics and Economics, 32, 19-36.
2. Canuto, C., Hussaini, M. Y., Quarteroni, A., and Zang, T. A. (1988), Spectral Methods in Fluid Dynamics, Berlin: Springer-Verlag.
3. Chatterjee, S., Handcock, M. S., and Simonoff, J. S. (1995), A Casebook for a First Course in Statistics, New York: Wiley.
4. Habbema, J. D. F., Hermans, J., and Van Der Broek, K. (1974), "A Stepwise Discriminant Analysis Programme Using Density Estimation," in Proceedings in Computational Statistics, ed. G. Bruckman, Vienna: Physica-Verlag, pp. 101-110.
5. Hall, P., Sheather, S. J., Jones, M. C., and Marron J. S. (1991), "On Optimal Data-Based Bandwidth Selection in Kernel Density Estimation," Biometrika, 78, 263-270.
6. Jones, M. C., Sheather, S. J., and Marron, J. S. (1996a), "A Brief Survey of Bandwidth Selection for Density Estimation," Journal of the American Statistical Association, 91, 401-407.
7. _ (1996b), "Progress in Data-Based Bandwidth Selection for Kernel Density Estimation," Computational Statistics, 11, 337-381.
8. Park, B. U., Chung, S. S., and Seog, K. H. (1992), "An Empirical Investigation of the Shifted Power Transformation Method in Density Estimation," Computational Statistics and Data Analysis, 14, 183-191.
9. Ruppert, D., and Cline, D. B. H. (1994), "Bias Reduction in Kernel Density Estimation," The Annals of Statistics, 22, 185-210.
10. Ruppert, D., and Wand, M. P. (1992), "Correcting for Kurtosis in Density Estimation," Australian Journal of Statistics, 34, 19-29.
11. Scott, D. W. (1992), Multivariate Density Estimation Theory, Practice, and Visualization, New York: Wiley.
12. Silverman, B. W. (1986), Density Estimation for Statistics and Data Analysis, London: Chapman and Hall/CRC.
13. Wand, M. P., Marron, J. S., and Ruppert, D. (1991), "Transformations in Density Estimation," Journal of the American Statistical Assocation, 86, 343-361.
14. Yang, L. (2000), "Root-n Convergent Transformation-Kernel Density Estimation," Journal of Nonparametric Statistics, 12, 447-474.
15. Yang, L., and Marron, J. S. (1999), "Iterated Transformation-Kernel Density Estimation," Journal of the American Statistical Association, 94, 580-509.