On the Relevance of the Bayesian Approach to Statistics

Abstract

In this essay, I argue about the relevance and the ultimate unity of the Bayesian approach in a neutral and agnostic manner. My main theme is that Bayesian data analysis is an effective tool for handling complex models, as proven by the increasing proportion of Bayesian studies in the applied sciences. I thus disregard the philosophical debates on the meaning of probability and on the random nature of parameters as things of the past that ultimately do a disservice to the approach and are irrelevant to most bystanders.