參考文獻 |
[1] Andersen, P. K. and Gill, R. D. (1982). Cox's regression model for counting processes: a large sample study. Annals of statistics 10: 1100-1120.
[2] Andersen P. K., Borgan Q., Gill R. D.and Keiding N. (1993). Statistical Models Based on Counting Processes. Springer: New York.
[3] Bickel, P. J. and Klaassen, C. A. J., Ritov, Y., Wellner, J. A. (1993). Efficient and Adaptive Estimation for Semiparametric Models. New York: Springer.
[4] Buckley, J. and James, I. (1979). Linear regression with censored data. Biometrika 66: 429-436.
[5] Chen, Y. Q. and Jewell, N. P. (2001). On a general class of semiparametric hazards regression models. Biometrika 88: 687-702.
[6] Ciampi, A. and Etezadi-Amoli, J. (1985). A general model for testing the proportional hazards and the accelerated failure time hypotheses in the analysis of censored survival data with covariates. Communication in Statistics-Theory and Methods. 14: 651-667.
[7] Cox, D. R. (1972). Regression models and life tables (with disscussion). Journal of the Royal Statistical Society, Series B 34: 187-220.
[8] Cox, D. R. (1975). Partial likelihood. Biometrika 62: 269-276.
[9] Cox, D. R. and Oakes, D. (1984). Analysis of Survival Data. London: Chapman & Hall.
[10] Crowley, J. and Hu, M. (1977). Covariance analysis of heart transplant survival data. Journal of the American Statistical Association 72: 27-36.
[11] Etezadi-Amoli, J. and Ciampi, A. (1987). Extended hazard regression for censored survival data with covariates: a spline approximation for the baseline hazard function. Biometrics 43: 181-192.
[12] Gehan, E. A. (1965). A generalized Wilcoxon test for comparing arbitrary single-censored samples. Biometrika 52: 203-223.
[13] Gill, R. D. and Schumacher M. (1987). A simple test of the proportional hazards assumption. Biometrika 74: 289-300.
[14] Grambsch, P. M. and Therneau, T. M. (1994). Proportional hazards tests and diagnostics based on weighted residuals. Biometrics 81: 515-526.
[15] Hsieh, F. (2001). On heteroscedastic hazards regression models: theory and application. Journal of the Royal Statistical Society, Series B 63: 63-79.
[16] Jin, Z., Lin, D. Y., Wei, L. J. and Ying, Z. (2003). Rank-based inference for the accelerated failure time model. Biometrika 90: 341-353.
[17] Jones, M. C. (1990). The performance of kernel density functions in kernel distribution function estimation. Statistics and Probability Letter 9: 129-132.
[18] Jones, M. C. and Sheather, S. J. (1991). Using non-statistic terms to advantage in kernel-based estimation of integrated squared density derivatives. Statistics and Probability Letter 11: 511-514.
[19] Lawless, J. (1982). Statistical Models and Methods for Lifetime Data. New York: Wiley.
[20] Lin, D. Y. and Geyer, C. J. (1992). Computational methods for semiparametric linear regression with censored data. Journal of Computational and Graphical Statistics 1: 77-90.
[21] Lin, D. Y. (1989). Goodness-of-fit tests and robust inference for the Cox proportional hazards model, unpublished Ph.D. dissertation, University of Michigan, Dept. of Biostatistics.
[22] Lin, D. Y. (1991). Goodness-of-fit analysis for the Cox regression model based on a class of parameter estimators. Journal of the American Statistical Association 86: 725-728.
[23] Lin, D. Y. and Ying, Z. (1995a). Semiparametric inference for the accelerated life model with time-dependent covariates. Journal of statistical Planning and Inference 44: 47-63.
[24] Lin, D. Y. and Ying, Z. (1995b). Semiparametric analysis of general additive-multiplicative hazard models for counting processes. The Annals of statistics 23: 1712-1734.
[25] Lin, D. Y., Wei L. J. and Ying, Z. (1998). Accelerated failure time models for counting processes. Biometrika 85: 605-618.
[26] Louis, T. A. (1981). Nonparametric analysis of an accelerated failure time model. Biometrika 68: 381-390.
[27] Miller, R. G. (1981). Survival Analysis. New York: Wiley.
[28] Murphy, S. A. and van der Vaart, A. W. (199 7). Semiparametric likelihood ratio inference. The Annals of statistics 25: 1471-1509.
[29] Nagelkerke, N. J. D., Oosting J. and Hart, A. A. M. (1984). A simple test for goodness of fit for Cox's proportional hazards model. Biometrics 40: 483-486.
[30] Nelder, J. A. and Mead, R. (1965). A simplex method for function minimization. The Computer Journal 7: 308-313.
[31] Parzen, M. I., Wei, L. J., and Ying, Z. (1994). A resampling method based on pivotal estimating functions.
Biometrika 81: 341-350.
[32] Prentice, R. L. (1978). Linear rank tests with right-censored data. Biometrika 65: 167-179.
[33] Ritov, Y. (1990). Estimation in a linear regression model with censored data. Annals of Statistics 18: 303-328.
[34] Robins, J. and Tsiatis, A. A. (1992). Semiparametric estimation of an accelerated failure time model with time-dependent covariates. Biometrika 79: 311-319.
[35] Schuster, E. F. (1969). Estimation of a probability density function and its derivatives. The Annals of Mathematical statistics, 40: 1187-1195
[36] Schoenfeld, D. (1980). Chi-squared goodness-of-fit tests for the proportional hazards regression model. Biometrika 67: 145-153.
[37] Schoenfeld, D. (1982). Partial residuals for the proportional hazards regression model. Biometrika 69: 239-241.
[38] Therneau, T.M. and Grambsch, P.M. (2000). Modeling Survival Data , New York: Springer.
[39] Tsiatis, A. A. (1981). A large sample study of Cox's regression model. Annals of Statistics 9: 93--108.
[40] Tsiatis, A. A. (1990). Estimating regression parameters using linear rank tests for censored data. Annals of Statistics 18: 354-372.
[41] van der Vaart, A. W. and Wellner, J. A. (1996). Weak Convergence and Empirical Processes. New York: Springer.
[42] van der Vaart, A. W. (1998). Asymptotic Statistics. London: Cambridge University Press.
[43] Wei, L. J. (1984). Testing goodness of fit for proportional hazards model with censored observations. Journal of the American Statistical Association 79: 649-652.
[44] Zeng, D. and Lin, D. Y. (2007). Efficient estimation for the accelerated failure time model. Journal of the American Statistical Association 102: 1387-1396.
|