Algerian Journal of Biosciences
Volume 1, Numéro 2, Pages 76-82
2020-12-31

Integration Of Prior Information In Kaplan Meier Estimator Using Bayesian Approach

Authors : Pempie Pascal . Hamimes Ahmed . Benamirouche Rachid .

Abstract

As part of this contribution, we will illustrate the effectiveness of the Bayesian approach in estimating durations; we suggest a new definition of the Kaplan Meier Bayesian estimator based on a stochastic approximation under an informative prior. For this reason, based on the lognormal distribution, we have unconjugated a priori distributions. This method of processing makes it possible to assume that the use of the a priori data with the various suggested methods is sensitive to the choices of the parameters added.

Keywords

Bayesian approach; nonparametric survival; Kaplan Meier; Bayesian estimator.