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 : 2003.05.30

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 estimator is significantly smaller then that of the smoothed estimator of the Kaplan-Meier survival function estimator.

Keywords