Inferences for a semiparametric model with panel data

Biometrika

Volumn 87, Issue 1, 2000, Pages 89-97

  Cheng, S C ^a   Wei, L J ^b  

^a TEXAS A AND M UNIVERSITY   (United States)

^b HARVARD UNIVERSITY   (United States)

Author keywords

Counting process; Repeated measurements; Stochastic process; Time dependent covariate

Indexed keywords

EID: 0002431407     PISSN: 00063444     EISSN: None     Source Type: Journal    
DOI: 10.1093/biomet/87.1.89     Document Type: Article

References (25)

1. ALTMAN, N. S. (1990). Kernel smoothing of data with correlated errors. J. Am. Statist. Assoc. 85, 749-59.
2. ANDERSEN, P. K. & GILL, R. D. (1982). Cox's regression model for counting processes: A large sample study. Ann. Statist. 10, 1100-20.
3. BILIAS, Y., GU, M. & YING, Z. (1997). Towards a general asymptotic theory for Cox model with staggered entry. Ann. Statist. 25, 662-82.
4. CHOW, Y. S. & TEICHER, H. (1988). Probability Theory: Independence, Interchangeability, Martingales, 2nd ed. New York: Springer-Verlag.
5. DAVIDIAN, M. & GILTINAN, D. M. (1995). Nonlinear Models for Repeated Measurement Data. London: Chapman and Hall.
6. DIGGLE, P. J. (1988). An approach to the analysis of repeated measurements. Biometrics 44, 959-71.
7. DIGGLE, P. J., LIANG, K. Y. & ZEGER, S. L. (1994). Analysis of Longitudinal Data. Oxford: Oxford University Press.
8. HART, J. D. (1991). Kernel regression estimation with time series errors. J. R. Statist. Soc. B 53, 173-87.
9. HART, J. D. & WEHRLY, T. E. (1986). Kernel regression estimation using repeated measurements data. J. Am. Statist. Assoc. 81, 1080-8.
10. HOOVER, D. R., RICE, J. A., WU, C. O. & YANG, L. P. (1998). Nonparametric smoothing estimates of time-varying coefficient models with longitudinal data. Biometrika 85, 809-22.
11. LAIRD, N. M. & WARE, J. H. (1982). Random-effects models for longitudinal data. Biometrics 38, 963-74.
12. LAWLESS, J. F. & NADEAU, C. (1995). Some simple robust methods for the analysis of recurrent events. Technometrics 37, 158-68.
13. LAWLESS, J. F., NADEAU, C. & COOK, R. J. (1997). Analysis of mean and rate functions for recurrent events. In Proceedings of the First Seattle Symposium in Biostatistics: Survival Analysis, Ed. D. Y. Lin and T. R. Fleming, pp. 37-49. New York: Springer-Verlag.
14. LIANG, K. Y. & ZEGER, S. L. (1986). Longitudinal data analysis using generalized linear models. Biometrika 73, 13-22.
15. MOYEED, R. A. & DIGGLE, P. J. (1994). Rates of convergence in semi-parametric modelling of longitudinal data. Aust. J. Statist. 36, 75-93.
16. NEWEY, W. & MCFADDEN, D. L. (1994). Large sample estimation and hypothesis testing. In Handbook of Econometrics, 4, Ed. R. F. Engle and D. L. McFadden, pp. 2111-245. Amsterdam: North Holland.
17. PEPE, M. S. & CAI, J. (1993). Some graphical displays and marginal regression analyses for recurrent failure times and time dependent covariates. J. Am. Statist. Assoc. 88, 811-20.
18. PEPE, M. S. & COUPER, D. (1997). Modeling partly conditional means with longitudinal data. J. Am. Statist. Assoc. 92, 991-8.
19. POLLARD, D. (1990). Empirical Processes: Theory and Applications. Hayward, CA: Institute of Mathematical Statistics.
20. RICE, J. A. & SILVERMAN, B. W. (1991). Estimating the mean and covariance structure nonparametrically when the data are curves. J. R. Statist. Soc. B 53, 233-43.
21. ROCKAFELLAR, R. T. (1970). Convex Analysis. Princeton: Princeton University Press.
22. SERFLING, R. J. (1980). Approximation Theorems of Mathematical Statistics. New York: Wiley.
23. SHORACK, G. R. & WELLNER, J. A. (1986). Empirical Process with Applications to Statistics. New York: Wiley.
24. Wu, C. O., CHIANG, C. T. & HOOVER, D. R. (1998). Asymptotic confidence regions for kernel smoothing of a time-varying coefficient model with longitudinal data. J. Am. Statist. Assoc. 88, 1388-402.
25. ZEGER, S. L. & DIGGLE, P. J. (1994). Semiparametric models for longitudinal data with application to CD4 cell numbers in HIV seroconverters. Biometrics 50, 689-99.