References
- Aalen , O. 1976 . Nonparametric Inference in Connection with Multiple Decrement Models . The Scandinavian Journal of Statistics , 3 : 15 – 27 .
- Akritas , M. G. 1986 . Bootstrapping the Kaplan-Meier Estimator . Journal of the American Statistical Association , 81 : 1032 – 1038 .
- Aly , E. E. , Csörgő , M. and Horváth , L. 1985 . Strong Approximations of the Quantile Process of the Product-Limit Estimator . Journal of Multivariate Analysis , 16 : 185 – 210 .
- Andersen , P. K. , Borgan , O , Gill , R. D. and Keiding , N. 1992 . Statistical Models Based on Counting Processes , New York : Springer-Verlag, forthcoming .
- Andersen , P. K. and Gill , R. D. 1982 . Cox's Regression Model for Counting Processes: A Large Sample Study . The Annals of Statistics , 10 : 1100 – 1120 .
- Barlow , R. E. and Proschan , F. 1981 . Statistical Theory of Reliability and Life Testing , Silver Springs , MD : To Begin With .
- Bickel , P. J. and Freedman , D. A. 1981 . Some Asymptotic Theory for the Bootstrap . The Annals of Statistics , 9 : 1196 – 1217 .
- Breslow , N. E. 1972 . Contribution to the discussion of “Regression Models and Life Tables” . Journal of the Royal Statistical Society , 34 : 216 – 217 . by D. R. Cox, Ser. B
- Breslow , N. E. 1974 . Covariance Analysis of Censored Survival Data . Biometrics , 30 : 89 – 100 .
- Burr , D. 1992 . A Study of Bootstrap Confidence Intervals in the Cox Model Preprint
- Burr , D. and Doss , H. 1990 . Confidence Bands for the Median Survival Time as a Function of the Covariates in the Cox Model Preprint
- Cox , D. R. 1972 . Regression Models and Life Tables . Journal of the Royal Statistical Society , 34 : 187 – 220 . (with discussion), Ser. B
- Csörgő , M. and Csörgő , S. 1987 . Estimation of Percentile Residual Life . Operations Research , 35 : 598 – 606 .
- Csörgő , S. 1988 . Estimation in the Proportional Hazards Model of Random Censorship . Statistics , 19 : 437 – 463 .
- Csörgő , S. and Mason , D. 1989 . Bootstrapping Empirical Functions . The Annals of Statistics , 17 : 1447 – 1471 .
- Doksum , K. 1974 . Empirical Probability Plots and Statistical Inference for Nonlinear Models in the Two-Sample Case . The Annals of Statistics , 2 : 267 – 277 .
- Doksum , K. and Sievers , G. L. 1976 . Plotting with Confidence: Graphical Comparisons of Two Populations . Biometrika , 63 : 421 – 434 .
- Doss , H. , Freitag , S. and Proschan , F. 1989 . Estimating Jointly System and Component Life Distributions Using a Mutual Censorship Approach . The Annals of Statistics , 17 : 764 – 782 .
- Doss , H. and Chiang , Y. C. 1990 . Choosing the Resampling Scheme when Bootstrapping: A Case Study in Reliability Preprint
- Efron , B. 1981 . Censored Data and the Bootstrap . Journal of the American Statistical Association , 76 : 312 – 319 .
- Gail , M. 1975 . A Review and Critique of Some Models Used in Competing Risks Analysis . Biometrics , 31 : 209 – 222 .
- Gill , R. D. 1980 . Censoring and Stochastic Integrals , Amsterdam : Mathematisch Centrum . Mathematical Centre Tracts 124
- Gill , R. D. 1986 . The Total Time on Test Plot and the Cumulative Total Time on Test Statistic for a Counting Process . The Annals of Statistics , 14 : 1234 – 1239 .
- Gill , R. D. 1989 . Non- and Semi-Parametric Maximum Likelihood Estimators and the von Mises Method (Part I) . The Scandinavian Journal of Statistics , 16 : 97 – 128 .
- Hjort , N. 1985a . Bootstrapping Cox's Regression Model , Stanford University, Dept. of Statistics . Technical Report 241
- Hjort , N. 1985b . Comment on “Counting Process Models for Life History Data: A Review” . The Scandinavian Journal of Statistics , 12 : 141 – 150 . by P. K. Andersen and O. Borgan
- Horváth , L. and Yandell , B. 1987 . Convergence Rates for the Bootstrapped Product Limit Process . The Annals of Statistics , 15 : 1155 – 1173 .
- Kiefer , J. Deviations Between the Sample Quantile Process and the Sample DF . Proceedings of the Conference on Nonparametric Techniques in Statistical Inference . Edited by: Puri , M. L. pp. 299 – 319 . Cambridge , , UK : Cambridge University Press .
- Kim , J. 1990 . Conditional Bootstrap Methods for Censored Data , Florida State University, Department of Statistics . unpublished Ph.D. dissertation
- Lo , S. H. and Singh , K. 1986 . The Product-Limit Estimator and the Bootstrap: Some Asymptotic Representations . Probability Theory and Related Fields , 71 : 455 – 465 .
- Nair , V. N. 1984 . Confidence Bands for Survival Functions with Censored Data: A Comparative Study . Technometrics , 26 : 265 – 275 .
- Pollard , D. 1984 . Convergence of Stochastic Processes , New York : Springer-Verlag .
- Sheehy , A. and Wellner , J. 1988 . Uniformity in P of Some Limit Theorems for Empirical Measures and Processes , University of Washington, Dept. of Statistics . Technical Report No. 134
- Shorack , G. R. and Wellner , J. A. 1986 . Empirical Processes with Applications to Statistics , New York : John Wiley .
- Skorohod , A. V. 1956 . Limit Theorems for Stochastic Processes . Theory of Probability and Its Applications , 1 : 261 – 290 .
- Tsirel'son , J. L. 1975 . The Density of the Distribution of the Maximum of a Gaussian Process . Theory of Probability and its Applications , 20 : 847 – 856 .
- Vervaat , W. 1972 . Functional Central Limit Theorems for Processes with Positive Drift and their Inverses . Zeitshrift für Wahrscheinlichkeitstheorie , 23 : 245 – 253 .