We thank all the reviewers for their insightful comments and suggestions

We thank all the reviewers for their insightful comments and suggestions. We agree and will integrate them into the paper. We will add a paragraph. Section 6.3 (and the use of the discretized prior) is to show that this work provides a candidate theoretical tool to study Bernstein/Hoeffding type assumptions: Theorem 1 was initially presented in [2] and was restricted to "losses/likelihoods We plan to send the paper to a native English speaker. Y ou are right and we haven't discussed it in the paper.