Bayesian estimation of the binomial parameter in sequential experiments.

ABSTRACT: This article presents an objective Bayesian approach to estimating the binomial parameter in group sequential experiments with a binary endpoint. The idea of deriving design-dependent priors was first introduced using Jeffreys criterion. Another class of priors was developed based on the reference prior theory. A theoretical framework was established showing that explicit reference to the experimental design in the prior is fully Bayesian justified. Using a design-dependent prior which generalizes the reference prior, I propose a comprehensive and unified approach to the point and the interval estimations in group sequential experiments, and I evidence the good frequentist properties of the posterior estimators through comparative studies with the existing methods. The effect of the prior

SUBMITTER: Bunouf P 

PROVIDER: S-EPMC11539543 | biostudies-literature | 2023 Nov

REPOSITORIES: biostudies-literature