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Original Articles

A fully nonparametric approach in survival models with explanatory variables

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Pages 3027-3054 | Received 01 Sep 1994, Published online: 27 Jun 2007

Bibliography

  • 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 .
  • Breslow N.E. Contribution to the discussion on the paper D.R. Cox cited below
  • Breslow , N.E. 1974 . Covariance analysis of censored survival data . Biometrics , 30 : 89 – 99 .
  • 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 . Commun. Statist. Theor. Meth , 14 ( 3 ) : 651 – 667 .
  • Cox , D.R. 1972 . Regression models and life tables (with discussion) . Journal of the Royal Statistical Society , 34 ( 3 ) : 187 – 220 . Series B
  • Crowley , J. and Hu , M. 1977 . Covariance analysis of heart transplant data . Journal of the American Statistical Association , 72 ( 3 ) : 27 – 36 .
  • Dempster , A.P. , Laird , N.M. and Rubin , D.B. 1977 . Maximum likelihood estimation from incomplete data via the EM Algorithm (with discussion) . Journal of the Royal Statistical Society , 39 ( 3 ) : 1 – 38 . Series B
  • 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 ( 3 ) : 181 – 192 .
  • Feigl , P. and Zelen , M. 1965 . Estimation of exponential survival probabilities with concomitant information . Biometrics , 21 ( 3 ) : 826 – 838 .
  • Gentleman , R. and Crowley , J. 1991 . Local full likelihood estimation for the proportional hazards model . Biometrics , 47 ( 3 ) : 1283 – 1296 .
  • Hastie , T. and Tibshirani , R. 1986 . Generalized additive models (with discussion) . Statistical Science , 47 ( 3 ) : 297 – 318 .
  • Hastie , T. and Tibshirani , R. 1990a . “ Generalized Additive Models ” . In Monographs on Statistics and Applied Probability , Vol. 43 , London : Chapman & Hall .
  • Hastie , T. and Tibshirani , R. 1990b . Exploring the nature of covariate effects in the proportional hazards model . Biometrics , 46 : 1005 – 1016 .
  • Lawless , J.F. “ Statistical models and methods for lifetime data ” . In Wiley series in probability and mathematicat statistics , New York : John Wiley & Sons .
  • Lin , D.Y. , Wei , L.J. and Ying , Z. 1993 . Checking the Cox model with cumulative sums of martingale-based residuals . Biometrics , 80 : 557 – 572 .
  • Lindsay , B.G. 1983 . The geometry of mixture likelihoods: a general theory . nals of Statistics , 11 : 86 – 94 .
  • Mallet , A. 1986 . A maximum likelihood estimation method for random coefficient regression models . Biometrika , 73 : 645 – 656 .
  • Mallet , A. 1988 . Nonparametric maximum likelihood estimation for population pharmacokinetics with application to cyclosporine . Pharmacok. Biopharm , 16 ( 3 ) : 311 – 327 .
  • Mc Keague , I.W. and Utikal , K.J. 1990 . Inference for a non linear counting process regression model . Annals of Statistics , 18 ( 3 ) : 1172 – 1187 .
  • Therneau , T.M. , Grambsch , P.M. and Fleming , T.R. 1990 . Martingale-based residuals for survival models . Biometricka , 77 ( 3 ) : 1147 – 1160 .
  • Tibshirani , R. and Hastie , T. 1987 . Local likelihood estimation . Journal of the American Statistical Association , 82 ( 3 ) : 559 – 567 .
  • Wu , C.F.J. 1983 . On the convergence properties of the EM algorithm . Annals of Statistics , 11 ( 3 ) : 95 – 103 .

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