30
Views
12
CrossRef citations to date
0
Altmetric
Theory and Methods

Inference for Shift Functions in the Two-Sample Problem With Right-Censored Data: With Applications

, &
Pages 1017-1026 | Received 01 Aug 1992, Published online: 27 Feb 2012

References

  • Akritas , M. 1986 . “Bootstrapping the Kaplan-Meier Estimator,” . Journal of the American Statistical Association , 81 : 1032 – 1039 .
  • Bickel , P. J. and Freedman , D. A. 1981 . “Some Asymptotic Theory for the Bootstrap,” . The Annals of Statistics , 9 : 1196 – 1217 .
  • Billingsley , P. 1968 . Convergence of Probability Measures , New York : John Wiley .
  • Csörgö , M. , Csörgö , S. and Horváth , L. 1986 . An Asymptotic Theory for Empirical Reliability and Concentration Processes , New York : Springer-Verlag .
  • Dabrowska , D. M. , Doksum , K. A. and Song , J. K. 1989 . “Graphical Comparison of Cumulative Hazards for Two Populations,” . Biometrika , 76 : 763 – 773 .
  • Doksum , K. 1974 . “Empirical Probability Plots and Statistical Inference for Nonlinear Models in the Two-Sample Case,” . The Annals of Statistics , 2 : 267 – 434 .
  • Doksum , K. A. and Sievers , G. L. 1976 . “Plotting With Confidence: Graphical Comparisons of Two Populations,” . Biometrika , 63 : 421 – 434 .
  • Efron , B. 1981 . “Censored Data and the Bootstrap,” . Journal of the American Statistical Association , 76 : 312 – 319 .
  • Fleming , T. R. , O'Fallon , J. R. , O'Brien , P. C. and Harrington , D. P. 1980 . “Modified Kolmogorov-Smirnov Test Procedures With Application to Arbitrarily Right-Censored Data,” . Biometrics , 36 : 607 – 625 .
  • Gehan , E. A. 1965 . “A Generalized Wilcoxian Test for Comparing Arbitrarily Singly Censored Samples,” . Biometrika , 52 : 203 – 223 .
  • Gill , R. D. 1980 . Censoring and Stochastic Integrals , Amsterdam : Mathematisch Centrum . Mathematical Centre Tract Vol. 124
  • Gill , R. D. 1989 . “Non- and Semi-Parametric Maximum Likelihood Estimators and the Von Mises Method (Part 1),” . Scandinavian Journal of Statistics , 16 : 97 – 128 .
  • Hawkins , D. L. and Kochar , S. C. 1991 . “Inference for the Crossing of Two Continuous CDF's,” . The Annals of Statistics , 19 : 1626 – 1638 .
  • Hodges , J. L. and Lehmann , E. L. 1963 . “Estimates of Location Based on Rank Tests,” . Annals of Mathematical Statistics , 34 : 598 – 611 .
  • Hollander , M. and Korwar , R. M. 1982 . “Nonparametric Bayesian Estimation of the Horizontal Distance Between Two Populations,” . In Non-parametric Statistical Inference I , New York : North-Holland .
  • Kaplan , E. L. and Meier , P. 1958 . “Nonparametric Estimation From Incomplete Observations,” . Journal of the American Statistical Association , 53 : 457 – 481 .
  • Lio , Y. L. and Padgett , W. J. 1992 . “Asymptotically Optimal Bandwidths for a Smooth Nonparametric Quantile Estimator Under Censoring,” . Journal of Nonparametric Statistics , 1 : 219 – 229 .
  • Lorenz , M. O. 1905 . “Methods of Measuring the Concentration of Wealth,” . Publication of the American Statistical Association , 9 : 209 – 219 .
  • Mantel , N. 1966 . “Evaluation of Survival Data and Two New Rank Order Statistics Arising in Its Consideration,” . Cancer Chemotherapy Reports , 50 : 163 – 170 .
  • Meng , X. L. , Bassiakos , Y. and Lo , S. H. 1991 . “Large-Sample Properties for a General Estimator of the Treatment Effect in the Two-Sample Problem With Right Censoring,” . The Annals of Statistics , 19 : 1786 – 1812 .
  • Miller , R. G. 1981 . Survival Analysis , New York : John Wiley .
  • Padgett , W. J. 1986 . “A Kernel-Type Estimator of a Quantile Function From Right-Censored Data,” . Journal of the American Statistical Association , 81 : 215 – 222 .
  • Padgett , W. J. and Thombs , L. A. 1986 . “Smooth Nonparametric Quantile Estimation Under Censoring: Simulations and Bootstrap Methods,” . Communications in Statistics—Simulations , 15 : 1003 – 1025 .
  • Padgett , W. J. and Wei , L. J. 1980 . “Estimation of the Scale Parameter in the Two-Sample Problem with Arbitrary Censoring,” . Biometrika , 69 : 252 – 256 .
  • Pollard , D. 1984 . Convergence of Stochastic Processes , New York : Springer .
  • Reid , N. 1981 . “Estimating the Median Survival Time,” . Biometrika , 68 : 601 – 608 .
  • Sheather , S. J. and Matron , J. S. 1990 . “Kernel Quantile Estimators,” . Journal of the American Statistical Association , 85 : 410 – 416 .
  • Shorack , G. R. and Wellner , J. A. 1986 . Empirical Processes With Applications to Statistics , New York : John Wiley .
  • Silverman , B. W. 1986 . Density Estimation , New York : Chapman and Hall .
  • Wang , J. L. and Hettmansperger , T. P. 1990 . “Two-Sample Inference for Median Survival Times Based on One-Sample Procedures for Censored Data,” . Journal of the American Statistical Association , 85 : 529 – 536 .
  • Wei , L. J. and Gail , M. 1983 . “Nonparametric Estimation for a Scale-Change with Censored Observations,” . Journal of the American Statistical Association , 78 : 382 – 388 .
  • Wells , M. T. and Tiwari , R. C. 1989a . “Bayesian Quantile Plots and Statistical Inference for Nonlinear Models in the Two-Sample Case With Incomplete Data,” . Communications in Statistics—Theory and Methods , 18 : 2955 – 2964 .
  • Wells , M. T. and Tiwari , R. C. 1989b . “On The Bayesian Bootstrap With Censored Data,” , Cornell University, Dept. of Economic and Soda1 Statistics . preprint
  • Wilk , M. B. and Gnanadesikan , R. 1968 . “Probability Plotting Methods for the Analysis of Data,” . Biometrika , 55 : 1 – 17 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.