We are very grateful to all commenters for their stimulating remarks, questions, as well as useful pointers to the literature which span a wide range of statistical methods over decades of research. We have neither the space nor the knowledge to answer many of the questions raised, and we only aim to offer some clarifications. We hope that readers will be as enthusiastic as ourselves about research on the topics discussed by the commenters. In the following, we refer to Diaconis and Wang as DW, Hoffman, Hannig and Zhang as HHZ, Lawrence and Vander Wiel as LV, Ruggeri as R, Shafer as S, and Williams as W.

我们非常感谢所有评论者的激动人心的评论、问题以及对数十年研究中涵盖广泛统计方法的文献的有用指导。我们既没有空间也没有知识来回答提出的许多问题，我们只想提供一些澄清。我们希望读者能像我们一样热衷于对评论者讨论的主题进行研究。下面，我们将 Diaconis 和 Wang 称为 DW，Hoffman、Hannig 和 Zhang 称为 HHZ，Lawrence 和 Vander Wiel 称为 LV，Ruggeri 称为 R，Shafer 称为 S，Williams 称为 W。