Asymptotic and bootstrap confidence bounds for the structural average of curves

Annals of Statistics

Volumn 26, Issue 3, 1998, Pages 972-991

  Wang, Kongming ^a   Gasser, Theo ^b  

^a SUNY DOWNSTATE MEDICAL CENTER   (United States)

^b UNIVERSITY OF ZURICH   (Switzerland)

Author keywords

Bootstrap; Confidence bounds; Curves; Kernel estimation; Structural analysis

Indexed keywords

EID: 0032359620     PISSN: 00905364     EISSN: None     Source Type: Journal    
DOI: 10.1214/aos/1024691084     Document Type: Article

References (14)

1. GASSER, T. and KNEIP, A. (1995). Searching for structure in curve samples. J. Amer. Statist. Assoc. 90 1179-1188.
2. GASSER, T., KNEIP, A., BINDING, A., PRADER, A. and MOLINARI, L. (1991). The dynamics of linear growth in distance, velocity and acceleration. Annals of Human Biology 18 187-205.
3. GASSER, T., KNEIP, A., ZIEGER, P., MOLINARI, L., PRADER, A. and LARGO, R. (1994). Development and outcome of indices of obesity in normal children. Annals of Human Biology 21 275-286.
4. GASSER, T. and MÜLLER, H. (1984). Estimating regression functions and their derivatives by the kernel method. Scand. J. Statist. 11 171-185.
5. GASSER, T., SROKA, L. and JENNEN-STEINMETZ, C. (1986). Residual variance and residual pattern in nonlinear regression. Biometrika 73 625-633.
6. HALL, P. (1992a). Effect of bias estimation on coverage accuracy of bootstrap confidence intervals for a probability. Ann. Statist. 20 675-694.
7. HALL, P. (1992b). On bootstrap confidence intervals in nonparametric regression. Ann. Statist. 20 695-711.
8. HÄRDLE, W. and BOWMAN, A. (1988). Bootstrapping in nonparametric regression: local adaptive smoothing and confidence bands. J. Amer. Statist. Soc. 83 102-110.
9. HÄRDLE, W. and MAMMEN, E. (1993). Comparing nonparametric versus parametric regression fits. Ann. Statist. 21 1926-1947.
10. HÄRDLE, W. and MARRON, J. (1991). Bootstrap simultaneous error bars for nonparametric regression. Ann. Statist. 19 778-796.
11. KNEIP, A. and GASSER, T. (1992). Statistical tools to analyze data representing a sample of curves. Ann. Statist. 20 1266-1305.
12. KELLY, C. and RICE, J. (1990). Monotone smoothing with application to dose-response curves and the assessment of synergism. Biometrics 46 1071-1085.
13. MAMMEN, E. (1992). When Does Bootstrap Work? Lecture Notes in Statist. 77. Springer, Berlin.
14. SILVERMAN, B. (1995). Incorporating parametric effects into functional principal components analysis. J. Roy. Statist. Soc. Ser. B 57 673-689.