semiparametric density estimation by local L 2-fitting

Annals of Statistics

Volumn 32, Issue 3, 2004, Pages 1162-1191

  Naito, Kanta ^a  

^a SHIMANE UNIVERSITY   (Japan)

Author keywords

Adjustment; Density estimation; Kernel; Local fitting; Parametric model; Semiparametic

Indexed keywords

EID: 24344461834     PISSN: 00905364     EISSN: None     Source Type: Journal    
DOI: 10.1214/009053604000000319     Document Type: Article

References (16)

1. AZZALINI, A. (1985). A class of distributions which includes the normal ones. Scand. J. Statist. 12 171-178.
2. COPAS, J. B. (1995). Local likelihood based on kernel censoring. J. Roy. Statist. Soc. Ser. B 57 221-235.
3. EGUCHI, S. and COPAS, J. B. (1998). A class of local likelihood methods and near-parametric asymptotics. J. R. Stat. Soc. Ser. B Stat. Methodol. 60 709-724.
4. HALL, P. and MARRON, J. S. (1987). Estimation of integrated squared density derivatives. Statist. Probab. Lett. 6 109-115.
5. HÄRDLE, W., MARRON, J. S. and WAND, M. P. (1990). Bandwidth choice for density derivatives. J. Roy. Statist. Soc. Ser. B 52 223-232.
6. HJORT, N. L. and GLAD, I. K. (1995). Nonparametric density estimation with a parametric start. Ann. Statist. 23 882-904.
7. HJORT, N. L. and JONES, M. C. (1996). Locally parametric nonparametric density estimation. Ann. Statist. 24 1619-1647.
8. IZENMAN, A. J. (1991). Recent developments in nonparametric density estimation. J. Amer. Statist. Assoc. 86 205-224.
9. JONES, M. C., LINTON, O. and NIELSEN, J. P. (1995). A simple bias reduction method for density estimation. Biometrika 82 327-338.
10. JONES, M. C. and SIGNORINI, D. F. (1997). A comparison of higher-order bias kernel density estimators. J. Amer. Statist. Assoc. 92 1063-1073.
11. MARRON, J. S. and WAND, M. P. (1992). Exact mean integrated squared error. Ann. Statist. 20 712-736.
12. 2-fitting. Technical Report 98-7, Statistical Research Group, Hiroshima Univ.
13. SERFLING, R. J. (1980). Approximation Theorems of Mathematical Statistics. Wiley, New York.
14. SHAO, J. (1991). Second-order differentiability and jackknife. Statist. Sinica 1 185-202.
15. SIMONOFF, J. S. (1996). Smoothing Methods in Statistics. Springer, New York.
16. WAND, M. P. and JONES, M. C. (1995). Kernel Smoothing. Chapman and Hall, London.