On the mean squared error of nonparametric quantile estimators under random right-censorship

References

• Aly , E. E.A.A. , Csörgö , M. and Horváth , L. 1985 . Strong Approximations of the Quantile Process of the Product-Limit Estimator . Journal of Multivariate Analysis , 16 : 185 – 210 .
   Web of Science ®Google Scholar
• Cheng , K.F. 1984 . On Almost Sure Representations for Quantiles of the Product Limit Estimator with Applications . Sankhya , 46 : 426 – 443 . Ser A
   Google Scholar
• Csörgo , M. 1983 . “ Quantile Processes with Statistical Applications ” . In CBMS-NSF Regional Conference Series in Applied Mathematics , Philadelphia, PA : SIAM .
   Google Scholar
• Efron , B. 1967 . The Two-Sample Problem with Censored Data . Proceedings of the Fifth Berkeley Symposium , 4 : 831 – 853 .
   Google Scholar
• Falk , M. 1984 . Relative Deficiency of Kernel Type Estimators of Quantiles . Annals of Statistics , 12 : 261 – 268 .
   Web of Science ®Google Scholar
• Falk , M. 1985 . Asymptotic Normality of the Kernel Quantile Estimator . Annals of Statistics , 13 : 428 – 433 .
   Web of Science ®Google Scholar
• Földes , A. and Rejtö , L. 1981 . A LIL Type Result for the Product Limit Estimator . Zeitschrift fur Wahrscheinlichkeitstheorie und Verwande Gebiete , 56 : 76 – 86 .
   Google Scholar
• Kaplan , E.L. and Meier , P. 1958 . Nonparametric Estimation from Incomplete Observations . Journal of the American Statistical Association , 53 : 457 – 481 .
   Web of Science ®Google Scholar
• Lio , Y.L. and Padgett , W.J. 1986 . Some Convergence Results for Kernel-Type Quantile Estimators Under Censoring . Statistics and Probability Letters , 53 in press
   Google Scholar
• Lio , Y.L. , Padgett , W.J. and Yu , K.F. 1986 . On the Asymptotic Properties of a Kernal-Type Quantile Estimator from Censored Samples . Journal of statistical Planning and Inference , 14 : 169 – 177 .
   Web of Science ®Google Scholar
• 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 .
   Web of Science ®Google Scholar
• Padgett , W.J. and Thombs , L.A. 1986 . Smooth Nonparametric Quantile Estimation Under Censorinq: Simulations and Bootstrap Methods . Communications-in Statistics - Simulation and Computation , 15 : 1003 – 1025 .
   Web of Science ®Google Scholar
• Parzen , E. 1979 . Nonparametric Statistical Data Modeling . Journal of the American Statistical Association , 74 : 105 – 121 .
   Web of Science ®Google Scholar
• Sander , J. 1975 . The Weak Convergence of Quantiles of the Product Limit Estimator , Stanford University . Technical Report 5, Department of Statistics.
   Google Scholar
• Yang , S.S. 1985 . A Smooth Nonparametric Estimator of a Quantile Function . Journal of the American Statistical Association , 80 : 1004 – 1011 .
   Web of Science ®Google Scholar