Nonparametric estimation of average growth curve with general nonstationary error process

Communications in Statistics - Theory and Methods

Volumn 36, Issue 6, 2007, Pages 1173-1186

  Benhenni, Karim ^a   Rachdi, Mustapha ^a  

^a UNIV GRENOBLE ALPES   (France)

Author keywords

Autocovariance; Growth curve; Nonparametric estimation; Nonstationary errors

Indexed keywords

BANDWIDTH; COVARIANCE MATRIX; CURVE FITTING; ERROR ANALYSIS; MONTE CARLO METHODS;

AUTOCOVARIANCE; GROWTH CURVE; NONPARAMETRIC ESTIMATION; NONSTATIONARY ERRORS;

PARAMETER ESTIMATION;

EID: 34247586094     PISSN: 03610926     EISSN: 1532415X     Source Type: Journal    
DOI: 10.1080/03610920601076586     Document Type: Article

References (15)

1. Altman, N. (1990). Kernel regression estimation of data with correlated errors. J. Amer Statist Assoc. 85:749-759.
2. Benhenni, B., Rachdi, M. (2006). Nonparametric estimation of the regression function from quantized observations. Comput. Statist. Data Anal. 50(11): 3067-3085.
3. Boularan, J., Ferré, L., Vieu, P. (1994). Growth curves: a two-stage nonparametric approach. J. Statist Plann. Infer. 38(3):327-350.
4. Fan, J., Gijbels, I. (1996). Local Polynomial Modelling and its Applications. Monographs on Statistics and Applied Probability. 66. London: Chapman and Hall. XVI.
5. Ferreira, E., Núñez-Antón, V., Rodríguez- Póo, J. (1997). Kernel regression estimates of growth curves using nonstationary correlated errors. Statist. Probab. Lett. 34(4):413-423.
6. Gasser, T., Müller, M. G. (1984). Estimating regression functions and their derivatives by the kernel method. Scand. J. Statist. Theor. Applic. 11:171-185.
7. Härdle, W. (1989). Applied Nonparametric Regression. Vol. 19. Cambridge: Cambridge University Press.
8. Hart, J., Wehrly, T. (1986). Kernel regression estimation using repeated measurements data. J. Amer. Statist. Assoc. 81:1080-1088.
9. Lin, X., Carroll, R. J. (2000). Nonparametric function estimation for clustered data when the predictor is measured without/with error. J. Amer. Statist. Assoc. 95(450)520-534.
10. Núñez-Antón, V., Rodríguez, J., Vieu, P. (1999). Longitudinal data with nonstationary errors: a nonparametric three-stage approach. Test 8(1):201-231.
11. Núñez-Antón, V., Woodworth, G. (1994). Analysis of longitudinal data with unequally spaced observations and time dependent correlated errors. Biometrics 50:445-456.
12. Sarda, P., Vieu, P. (2000). Kernel Regression. Smoothing and Regression: Approaches, Computation, and Application. In: Schimek, M. G., ed. Wiley Series in Probability and Statistics. New York: John Wiley & Sons.
13. Von Rosen, D. (1991). The growth curve model: a review. Commun. Statist. Theor. Meth. 20(9):2791-2822.
14. Wu, O., Chiang, C. T., Hoover, D. (1998). Asymptotic confidence regions for kernel smoothing of a varying-coefficient model with longitudinal data. J. Amer. Statist. Assoc. 93(444): 1388-1402.
15. Zimmerman, D. L., Núñez-Antón, V. (2001). Parametric modelling of growth curve data: an overview. (With comments). Test 10(1):1-73.