A comparative review of bandwidth selection for kernel density estimation

Statistica Sinica

Volumn 6, Issue 1, 1996, Pages 129-145

  Chiu, Shean Tsong ^a  

^a Department of Environmental and Radiological Health Sciences   (United States)

Author keywords

Bandwidth selection; Characteristic function; Cross validation; Kernel density estimation

Indexed keywords

EID: 21344474982     PISSN: 10170405     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (21)

1. Bowman, A. W. (1984). An alternative method of cross-validation for the smoothing of density estimates. Biometrika 71, 353-300.
2. Brillinger, D. R. (1981). Time Series: Data Analysis and Theory. Expanded edition, Holt, Rinehart, and Winston, New York.
3. Chiu, S. T. (1990). On the asymptotic distributions of bandwidth estimates. Ann. Statist. 18, 1696-1711.
4. Chiu, S. T. (1991a). Some stabilized bandwidth selectors for nonparametric regression. Ann. Statist. 19, 1528-1546.
5. Chiu, S. T. (1991b). Bandwidth selection for kernel density estimation. Ann. Statist. 19, 1883-1905.
6. Chiu, S. T. (1992). An automatic bandwidth selector for kernel density estimation. Biometrika 79, 771-782.
7. Fan, Jianqing and Marron, James S. (1992). Best possible constant for bandwidth selection. Ann. Statist. 20, 2008-2036.
8. Hall, P. (1983). Large sample optimality of least squares cross-validation in density estimation. Ann. Statist. 11, 1156-1174.
9. Hall, P. and Marron J. S. (1987). Extent to which least-squares cross-validation minimises integrated square error in nonparametric density estimation. Probab. Theory Related Fields 74, 567-581.
10. Hall, P., Marron, J. S. and Park, B. U. (1992). Smoothed cross-validation. Probab. Theory Related Fields 92, 1-20.
11. 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, 263-269.
12. Jones, M. C., Marron, J. S. and Park, B. U. (1991). A simple root n bandwidth selector. Ann. Statist. 19, 1919-1932.
13. Park, B. U. and Marron, J. S. (1990). Comparison of data-driven bandwidth selectors. J. Amer. Statist. Assoc. 85, 66-72.
14. Rice, J. (1984). Bandwidth choice for nonparametric regression. Ann. Statist. 12, 1215-1230.
15. Rosenblatt, M. (1956). Remarks on some nonparametric estimates of a density function. Ann. Math. Statist. 27, 832-837.
16. Rosenblatt, M. (1971). Curve estimates. Ann. Math. Statist. 42, 1815-1842.
17. Rudemo, M. (1982). Empirical choice of histograms and kernel density estimators. Scand. J. Statist. 9, 65-78.
18. Scott, D. W. and Terrell, G. R. (1987). Biased and unbiased cross-validation in density estimation. J. Amer. Statist. Assoc. 82, 1131-1146.
19. Sheather, S. J. and Jones, M. C. (1991). A reliable data-based bandwidth selection method for kernel density estimation. J. Roy. Statist. Soc. Ser.B 53, 683-690.
20. Silverman, B. W. (1985). Some aspects of the spline smoothing approach to non-parametric regression curve fitting. J. Roy. Statist. Soc. Ser.B 47, 1-21.
21. Silverman, B. W. (1986). Density Estimation for Statistics and Data Analysis. Chapman and Hall, London.