Confidence Bands for Survival Function Based on Hjort Estimator

  • Byung-Gu Park (Professor, Department of Statistics, Kyungpook National University, Taegu, Korea) ;
  • Kil-Ho Cho (Associate Professor, Department of Statistics, Kyungpook National University, Taegu, Korea) ;
  • Woo-Dong Lee (Full-time Lecturer, Department of statistics, Kyungsan University Kyungsan, Kyungpook, Korea.) ;
  • Young-Joon Cha (Associate Professor, Department of Statistics, Andong National University, Andong, Kyungpook, Korea)
  • Published : 1996.08.01

Abstract

In this paper, we derive the Hall-Wellner band and the equal precistion band for survival function based on Hjort when the data are randomly right censored. The bands ate illustrated and compared by applying them to data from a preoperative radiation therapy.

Keywords

References

  1. Convergence of Probability Measures Billingsley, P.
  2. The Annals of Statistics v.2 A Large Sample Study of the Life Table and Product Limit Estimators under Random Censorphip Breslow, N. E.;Crowley, J.
  3. Arch. Surg. v.121 Preoperative radiation therapy for rectal cancer Fortier, G. A.;Constable, W. C.;Meyers, H.;Wanebo, H. J.
  4. Censoring and Stochastic Integrals Gill, R. D.
  5. The Annals of Statistics v.7 Confidence Bands for the Kaplan-Meier Survival Curve Estimate Gillespie, M. J.;Fisher, L.
  6. Biometrika v.67 no.1 Confidence Bands for a Survival Curve From Censored Data Hall, W. J.;Wellner, J. A.
  7. The Annals of Statistics v.3 Nonparametric Bayes Estimators based on Beta Processes in Models for Life History Data Hjort, N. L.
  8. Journal of the American Statistical Association v.53 Nonparametric Estimation from Incomplete Observations Kaplan, E. L.;Meier, P.
  9. Technometrics v.26 Confidence Bands for Suvival Functions with Censored Data: A Comparative Study Nair, V. N.