Objective Bayesian Hypothesis Testing and Estimation for the Risk Ratio in a Correlated 2x2 Table with Structural Zero

We illustrate the construction of an objective Bayesian hypothesis testing and point estimation for the risk ratio in a correlated 2x2 table with structural zero. We solve the problem using Bayesian method through the reference prior, and corresponding posterior distribution of the risk ratio can be derived. Then combined the intrinsic discrepancy, an invariant inforamtion-based loss function, provides an integrated objective Bayesian solution to both hypothesis testing and point estimation problems