A semiparametric extended hazard regression model with time-dependent covariates

REFERENCES

• Andersen, P.K., Borgan, Q., Gill, R.D., and Keiding, N. (1993), Statistical Models Based on Counting Processes, New York: Springer.
   Google Scholar
• 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.
   Google Scholar
• Carey, J.R., Liedo, P., Müller, H.G., Wang, J.L., and Chiou, J.M. (1998), ‘Relationship of Age Patterns of Fecundity to Mortality, Longevity, and Lifetime Reproduction in a Large Cohort of Mediterranean Fruit Fly Females’, Journal of Gerontology. Series A, Biological Sciences and Medical Sciences, 53, 245–251. doi: 10.1093/gerona/53A.4.B245
   Google Scholar
• Chen, Y.Q., and Jewell, N.P. (2001), ‘On a General Class of Semiparametric Hazards Regression Models’, Biometrika, 88, 687–702. doi: 10.1093/biomet/88.3.687
   Web of Science ®Google Scholar
• 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’, Communications in Statistics – Theory and Methods, 14, 651–667. doi: 10.1080/03610928508828940
   Web of Science ®Google Scholar
• Cox, D.R. (1972), ‘Regression Models and Life Table’ (with discussion), Journal of the Royal Statistical Society: Series B, 34, 187–220.
   Web of Science ®Google Scholar
• Cox, D.R. (1975), ‘Partial Likelihood’, Biometrika, 62, 269–276. doi: 10.1093/biomet/62.2.269
   Web of Science ®Google Scholar
• Cox, D.R., and Oakes, D. (1984), Analysis of Survival Data, London: Chapman and Hall.
   Google Scholar
• Crowley, J., and Hu, M. (1977), ‘Covariance Analysis of Heart Transplant Survival Data’, Journal of the American Statistical Association, 72, 27–36. doi: 10.1080/01621459.1977.10479903
   Web of Science ®Google Scholar
• 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, 181–92. doi: 10.2307/2531958
   Web of Science ®Google Scholar
• Jin, Z., Yin, Z., and Wei, L.J. (2001), ‘A Simple Resampling Method by Pertubing the Minimand’, Biometrka, 88, 381–390. doi: 10.1093/biomet/88.2.381
   Web of Science ®Google Scholar
• 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.
   Google Scholar
• 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. doi: 10.1016/0378-3758(94)00039-X
   Web of Science ®Google Scholar
• Lin, D.Y., and Ying, Z. (1995b), ‘Semiparametric Analysis of General Additive-Multiplicative Hazard Models for Counting Processes’, Annals of Statistics, 23, 1712–1734. doi: 10.1214/aos/1176324320
   Web of Science ®Google Scholar
• Lin, D.Y., Wei, L.J., and Ying, Z. (1998), ‘Accelerated Failure Time Models for Counting Processes’, Biometrika, 85, 605–618. doi: 10.1093/biomet/85.3.605
   Web of Science ®Google Scholar
• Louzada-neto, F. (1997), ‘Extended Hazard Regression Model for Reliability and Survival Analysis’, Lifetime Data Analysis, 13, 367–381. doi: 10.1023/A:1009606229786
   Google Scholar
• Miller, R.G. (1981), Survival Analysis, New York: Wiley.
   Google Scholar
• Nelder, J.A., and Mead, R. (1965), ‘A Simplex Method for Function Minimization’, The Computer Journal, 7, 308–313. doi: 10.1093/comjnl/7.4.308
   Web of Science ®Google Scholar
• Parzen, M.I., Wei, L.J., and Ying, Z. (1994), ‘A Resampling Method Based on Pivotal Estimating Functions’, Biometrika, 81, 341–350. doi: 10.1093/biomet/81.2.341
   Web of Science ®Google Scholar
• Robins, J., and Tsiatis, A.A. (1992), ‘Semiparametric Estimation of an Accelerated Failure Time Model with Time-dependent Covariates’, Biometrika, 79, 311–319.
   Web of Science ®Google Scholar
• Tseng, Y.K., and Shu, K.N. (2011), ‘Efficient Estimation for a Semiparametric Extended Hazards Model’, Communications in Statistics - Simulation and Computation, 40, 270–285. doi: 10.1080/03610918.2010.535624
   Web of Science ®Google Scholar
• Tsiatis, A.A. (1981), ‘A Large Sample Study of Cox's Regression Model’, Annals of Statistics, 9, 93–108. doi: 10.1214/aos/1176345335
   Web of Science ®Google Scholar
• van der Vaart, A.W. (1998), Asymptotic Statistics, London: Cambridge University Press.
   Google Scholar
• Zeng, D., and Lin, D.Y. (2007), ‘Efficient Estimation for the Accelerated Failure Time Model’, Journal of the American Statistical Association, 102, 1387–1396. doi: 10.1198/016214507000001085
   Web of Science ®Google Scholar
• Zeng, D., and Lin, D.Y. (2008), ‘Efficient Resampling Methods for Nonsmooth Estimating functions’, Biostatistics, 9, 355–363. doi: 10.1093/biostatistics/kxm034
   PubMed Web of Science ®Google Scholar