Journal of the Korean Data and Information Science Society

The Korean Data and Information Science Society (한국데이터정보과학회)
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A Study on Properties of the survival function Estimators with Weibull approximation

  • Lee, Jae-Man (Department of Information and Statistics, Andong National University) ;
  • Cha, Young-Joon (Department of Information and Statistics, Andong National University)
  • Published : 2003.05.31
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Abstract

In this paper we propose a local smoothing of the Nelson type estimator for the survival function based on an approximation by the Weibull distribution function. It appears that Mean Square Error and Bias of the smoothed estimator of the Nelson type survival function estimators are significantly smaller than that of the smoothed estimator of the Kaplan-Meier survival function estimator.

Keywords

References

  1. The Annals of Statistics v.2 A Large Sample Study of the Life Table and Product Limit Estimators under Random Censorship Breslow, N. E.;Crowley, J.
  2. Communications in Statistics-Theory and Methods v.13 Nonparametric Estimation of the Survival Distribution in Censored Data Fleming, T. R.;Harrington, D. P.
  3. Journal of the American Statistical Association v.53 Nonparametric Estimation From Incomplete Sample Kaplan, E. L.;Meier, P.
  4. Survival Analysis Miller, R. G.
  5. Biometrics v.41 A Comparison of Several Methods of Estimating the Survival Function when There Is Extreme Right Censoring Moeschberger, M. L.;Klein, J. P.
  6. Technometrics v.14 Theory and Applications of Hazard Plotting for Censored Failure Data Nelson, W. B.
  7. Communications in Statistics-Theory and Methods v.31 no.1 A Simple Improvement of the Kaplan-Meier Estimator Rossa, A.;Zielinski, S.