26
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

A generalized quantile estimator under censoring

&
Pages 3301-3321 | Received 01 Jun 1987, Published online: 27 Jun 2007

References

  • Aly , E. , Csorgd , A.A. and Horvath , M. 1985 . Strong Approximations of the Quantile Process of the Product-Limit Estimator . Journal of Multivariate Analysis , 16 : 185 – 210 .
  • Cheng , K.F. 1984 . On Almost Sure Representations for Quantiles of the Product Limit Estimator with Applications . Sankhya, Ser. A , 46 : 426 – 443 .
  • Csorgd , M. Quantile Processes with Statistical Applications . SIAM, Philadelphia .
  • Efron , B. The Two-Sample Problem with Censored Data . Proceedings of the Fifth Berkeley Symposium .
  • Hoeffding , W. 1948 . A Class of Statistics with Asymptotically Normal Distribution . Annals of Mathematical Statistics , 19 : 293 – 325 .
  • International Mathematical and Statistical Libraries, Inc . IMSL .
  • Kaigh , W.D. and Lachenbruch , P. A . 1982 . A Generalized Quantile Estimator . Communications in Statistics - Theory and Methods , 11 : 2217 – 2238 .
  • Kalbfleisch , J.D. and Prentice , R.L. 1980 . The Statistical Analysis of Failure Time Data , New York : John Wiley & Sons .
  • Kaplan , E.L. and Meier , P. 1958 . Nonparametrlc Estimation from Incomplete Observations . Journal of the American Statistical Association , 53 : 457 – 481 .
  • Lio , Y.L. and Padgett , W.J. 1987 . On the Mean Squared Error of Nonparametric Quantile Estimators Under Random Right-Censorship . Communications in Statistics, Theory and Methods , 16 : 1617 – 1628 .
  • 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 .
  • Peterson , A.V. 1977 . Expressing the Kaplan-Meier Estimator as A Function of Empirical Sub-survival Functions . Journal of the American Statistical Association , 12 : 854 – 858 .
  • Randies , D.A. and Wolfe . Introduction to the Theory of Nonparametric Statistics , New York : John Wiley & Sons .
  • Reid , N. 1981 . Influence Functions for Censored Data . Annals of Statistics , 9 : 78 – 92 .
  • Sander , J. 1975 . The Weak Convergence of Quantiles of the Product-Limit Estimator . Department of Statistics , 5

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.